PLEASE HELP WILL GIVE BRAINLIST

PLEASE HELP WILL GIVE BRAINLIST

Answers

Answer 1

Answer:

(2^8x3^-5x6^0)^-2x(3^-2)/(2^3x2^28) = 3,359,232.


Related Questions

Find the original price of a salt lamp that is $60 after a 25% discount.

Answers

The original price of the salt lapm os $80.

How to find the original price of the salt lamp?

Let's assume that the original price of the salt lamp is P, if we apply a discount of x (a percentage in decimal form) then the new price will be:

P' = P*(1 - x)

Here we know that the discount is of 25%, then x = 0.25

And the final price is $60, then we can write:

$60 = P*(1 - 0.25)

Now we can solve this for P.

$60 = P*0.75

$60/0.75 = P

$80 = P

That is the original price.

Learn more about discounts at:

https://brainly.com/question/843074

#SPJ1

The counting principle lets you add the number of options per category to find the total number of possible outcomes. True False

Answers

Answer:

The Answer Is False

Step-by-step explanation:

Hope It Helps U

5. It took 400 rails to create one mile of track. Each rail had ten (10) spikes. Each spike needed three (3) strikes from a hammer. A fast crew could lay four (4) rails in one minute. Crews averaged five (5) miles of track per day. If the distance from Rock Island, Illinois to Sacramento, California is approximately 1800 miles: How many rails were needed? How many spikes were needed? How many hammer strikes were heard each hour? How many days were needed to complete the track?​

Answers

89 days he completed

if you choose 2 of the 16,701 mathematics degrees at random, what is the probability that at least 1 of the 2 degrees was earned by a woman? show your work.

Answers

When chosen 2 of the 16,701 mathematics degrees at random, the probability that at least 1 of the 2 degrees was earned by a woman is P(at least 1 women out of 2)= 70.4064%

P(women)=0.4560

We know the rule: P(not A) = 1−P(A)

We can then determine the probability of individuals who earned a degree but are not women:

P(not women) =1−P(women)=1−0.4560=0.5440

when we multiply we get,

P(A and B) = P(A)×P(B)

now we can then determine the probability of obtaining 2 individuals who earned a degree but are not women:

P(2 not women) = P(not women) × P(not women)

= 0.5440 × 0.5440 = 0.295936

now we can use the complement rule, and with this now we can then determine the probability of at least 1 degree earned by women:

P(at least 1 women out of 2) = 1−P(2 not women) = 1−0.295936

=0.704064

=70.4064%

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ4

x/6=67 whats the answer?

Answers

Answer:

x would be equal to 11.66 you get this when you divide 67 by 6.

Step-by-step explanation:

what is the length x of a side of the small inner square?

Answers

The length x of a side of the small inner square can be determined using the properties of similar triangles.

To find the length x, we can set up a proportion between the small inner square and the larger outer square.

Let's denote the side length of the small inner square as s and the side length of the larger outer square as S.

Since the small inner square is completely contained within the larger outer square, the ratio of their side lengths will be the same as the ratio of their corresponding sides.

Therefore, we can set up the following proportion:

s / S = x / (x + 10)

Here, the x + 10 represents the side length of the larger outer square, as it is 10 units longer than the side length of the small inner square.

To solve for x, we can cross-multiply the proportion:

s * (x + 10) = x * S

Expanding the equation:

sx + 10s = xS

Rearranging the equation to isolate x:

sx - xS = -10s

Factoring out the common term x:

x(s - S) = -10s

Dividing both sides by (s - S):

x = -10s / (s - S)

Now, we have an expression for x in terms of s and S.

It's important to note that the given information is insufficient to find the exact value of x without additional measurements or equations. The value of x will depend on the specific dimensions of the small inner square and the larger outer square.

to know more about small inner square here:

brainly.com/question/30517179

#SPJ11

Would you help me solve this question with steps? It would really help, and thank you.

Would you help me solve this question with steps? It would really help, and thank you.

Answers

5x + 3y = 6

Answer's too short so here's some extra text.

i need help with this

i need help with this

Answers

Answer:

1. measure of angle E is 90 degrees

2. Measure of angle F + measure of angle G is 90 degrees

Step-by-step explanation:

Angle E is 90 degrees because it is marked as a right angle (the square)

A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees

The distribution of cell phone bills for families in Smithtown North High School has mean $183 and standard deviation 11. At Smithtown South High School, the mean is$181 and the standard deviation is 21. Which distribution is more spread out?

Answers

Considering that it has a higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

What is the coefficient of variation of a distribution?

The coefficient of variation for a distribution is given by the standard deviation of the distribution divided by the mean of the distribution. The higher the coefficient, the more spread out the distribution is.

For the distributions in this problem, the coefficients are given as follows:

Smithtown North High School: 11/183 = 0.0602. Smithtown South High School: 21/181 = 0.1160.

Due to the higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

More can be learned about the coefficient of variation of a distribution at https://brainly.com/question/24495359

#SPJ1

(a) Find the sum of the first 200 natural numbers. (b) A golfball is dropped from a height of 30ft to the pavement. It always rebounds three fourths of the distance that it drops. How far (up and down) will the ball have traveled when it hits the pavement for the 6th time? (5)

Answers

a. the sum of the first 200 natural numbers is 20,100. b. when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

(a) To find the sum of the first 200 natural numbers, we can use the formula for the sum of an arithmetic series.

The sum of the first n natural numbers is given by the formula: Sn = (n/2)(a + l), where Sn represents the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, we want to find the sum of the first 200 natural numbers, so n = 200, a = 1 (the first natural number), and l = 200 (the last natural number).

Substituting these values into the formula, we have:

Sn = (200/2)(1 + 200)

  = 100(201)

  = 20,100

Therefore, the sum of the first 200 natural numbers is 20,100.

(b) The ball rebounds three-fourths of the distance it drops, so each time it hits the pavement, it travels a total distance of 1 + (3/4) = 1.75 times the distance it dropped.

For the 6th rebound, we need to find the distance the ball traveled when it hits the pavement.

Let's represent the initial drop distance as h (30 ft).

The total distance traveled after the 6th rebound is given by the sum of a geometric series:

Distance = h + h(3/4) + h(3/4)^2 + h(3/4)^3 + ... + h(3/4)^5 + h(3/4)^6

Using the formula for the sum of a geometric series, we can simplify this expression:

Distance = h * (1 - (3/4)^7) / (1 - 3/4)

Simplifying further:

Distance = h * (1 - (3/4)^7) / (1/4)

        = 4h * (1 - (3/4)^7)

        = 4 * 30 * (1 - (3/4)^7)

Calculating the value:

Distance ≈ 4 * 30 * (1 - 0.1335)

        ≈ 4 * 30 * 0.8665

        ≈ 104 ft

Therefore, when the ball hits the pavement for the 6th time, it will have traveled approximately 104 feet in total (up and down).

Learn more about natural numbers here

https://brainly.com/question/2228445

#SPJ11

six positive integers are written on the faces of a cube. each vertex is labeled with the product of the three numbers on the faces adjacent to the vertex. if the sum of the numbers on the vertices is equal to $1001$, then what is the sum of the numbers written on the faces?

Answers

Answer:

31

Step-by-step explanation:

7+11+13=31

please rate 5 stars

Jodie wanted to match  Mandys obstacle course record of 68.2 seconds. She had already spent 40 1/4 seconds on rock climbing and 12.84 seconds on the ropes how much time did she have left to match the record

Answers

The time Jodie have left to match the record of Mandy is 15.11 seconds

Time

Mandy's obstacle course = 68.2 seconds

Jodie:

Time spent climbing rock = 40 1/4 seconds

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

Learn more about time:

https://brainly.com/question/25800303

#SPJ1

If x= -2 find (1+x) + (1-x) and x-(x-1

Answers

Answer:

i have made it in above pic hope it helps

If x= -2 find (1+x) + (1-x) and x-(x-1

Answer:

\(2 \: and \: 1\)

Step-by-step explanation:

\((1 + x) + (1 - x) \\ = (1 + ( - 2)) + (1 - ( - 2)) \\ = ( - 1) + (3) \\ = 2 \\ \\ x - (x - 1) \\ = ( - 2) - (( - 2) - 1) \\ = - 2 + 2 + 1 \\ = 1\)

\(plzz \: mark \: as \: brainliest... \\ hope \: it \: helpss\)

Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile

Answers

The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

To learn more about central tendency:

https://brainly.com/question/17631693

#SPJ4

I need some help better understanding Area Volume/Differential Equations, as ive been stuck on this single string of questions in my workbook for some time now, any and all help would be appreciated.

"Let R be the region in quadrant 1 bounded by y=3sin(2x) and y=e^x "
1) Find the area of R
2) Let S be the solid generated by rotating R around the x-axis. Find the volume of S.
3) Let Q be the solid generated by rotating R around the horizontal line y=5. Find the volume of Q
4) Let P be the solid whose base is R and whose cross sections perpendicular to the x-axis are semicircles. Find the volume of P.

Answers

Answer: Sure, I'd be happy to help you with these questions! Here are the solutions:

To find the area of R, we need to find the points of intersection between the two curves.

Setting y = 3sin(2x) and y = e^x equal to each other, we get:

3sin(2x) = e^x

Taking the natural logarithm of both sides, we get:

ln(3sin(2x)) = x

Now, we can find the x-coordinates of the intersection points by graphing the two curves or using a numerical method, such as a graphing calculator or Newton's method. The intersection points are approximately x = 0.306 and x = 2.313.

To find the area of R, we can integrate the difference between the two curves with respect to x:

A = ∫(e^x - 3sin(2x)) dx from x = 0.306 to x = 2.313

This integral can be evaluated using integration by substitution or a numerical method, such as a calculator or computer software. The area of R is approximately 2.828 square units.

To find the volume of S, we can use the formula for the volume of a solid of revolution:

V = ∫πy^2 dx from x = 0.306 to x = 2.313

Here, y = e^x - 3sin(2x) is the radius of the cross sections of the solid generated by rotating R around the x-axis.

This integral can be evaluated using numerical methods, such as a calculator or computer software. The volume of S is approximately 41.201 cubic units.

To find the volume of Q, we can use the formula for the volume of a solid of revolution around a horizontal line:

V = ∫π(y - 5)^2 dx from x = 0.306 to x = 2.313

Here, y = e^x - 3sin(2x) is the distance from the horizontal line y = 5 to the cross sections of the solid generated by rotating R around the line y = 5.

This integral can be evaluated using numerical methods, such as a calculator or computer software. The volume of Q is approximately 14.503 cubic units.

To find the volume of P, we can use the formula for the volume of a solid with known cross-sectional area:

V = ∫A(x) dx from x = 0.306 to x = 2.313

Here, the cross sections of P are semicircles perpendicular to the x-axis. The radius of each semicircle is given by:

r = (1/2)(e^x - 3sin(2x))

So the area of each semicircle is:

A = (1/2)πr^2 = (1/8)π(e^x - 3sin(2x))^2

Therefore, the volume of P is:

V = ∫(1/8)π(e^x - 3sin(2x))^2 dx from x = 0.306 to x = 2.313

This integral can be evaluated using numerical methods, such as a calculator or computer software. The volume of P is approximately 5.654 cubic units.

I hope this helps! Let me know if you have any further questions.

Step-by-step explanation:

What is the exponential of 1?

Answers

Exponential of 1 is equal to the number itself which means 1.

Exponent is usually described as the method of demonstrating large numbers in terms of powers. It means, exponent refers to the count, that how many times a number is multiplied to itself to calculate that exponent.

In accordance with the exponent rule, any number raised to power of 1 would always be equal to 1 that is because it doesn't matter how many times we multiply 1 to itself. It is going to yield 1. For example, multiplying 1 hundred times i.e. 1^100 also results in 1.

For further information about exponents, click the link below:

brainly.com/question/15438343

#SPJ4

70 = -7 k solve the equations

Answers

Answer:

-10

Step-by-step explanation:

70= -7k

70 -7k

-- --

-7 -7

-10=k

Have a great day

Answer:

k= -10

Step-by-step explanation:

70= -7k

Divide both sides by -7

-7k/-7 = 70/7

Simplify

k=-10

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written
using function notation?
flv -v+
f(x) = - 3x + 4
f(x) = - *x+
f(V) = - 3y + 4

Answers

Answer:

b) y = f(x) = -3x+4

Step-by-step explanation:

Explanation

Given that the equation   9x+3y =12

Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form

        y = f(x)

      3 y = 12 - 9x

        \(y = \frac{-9x+12}{3}\)

      y = -3x+4

The function represented by  y = -3x+4

c and d are positive integers quantity A c/d quantity B c+3/d+3
quantity A is greater
quantity B is greater
the two quantities are equal
the relationship cannot be determine from the information given

Answers

The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. The relationship between the quantities A and B cannot be determined from the information given.

The statement provides two quantities, A and B, expressed as ratios of positive integers c and d. However, no specific values or constraints are given for c and d. Without knowing the specific values or any relationship between c and d, it is impossible to determine the relationship between A and B.

The relative magnitudes of A and B will depend on the values of c and d. If the value of c is greater than d, then A would be greater than B. Conversely, if the value of d is greater than c, then B would be greater than A. However, without any information about the values of c and d or any relationship between them, we cannot determine the relationship between A and B.

Therefore, based on the given information, the relationship between quantities A and B cannot be determined.

Learn more about relative magnitudes here:

https://brainly.com/question/31827964

#SPJ11

please help with this question, I am quite confused

please help with this question, I am quite confused

Answers

Answer:

Step-by-step explanation:

A-domain (-∞,∞)

B- Range(0,∞)  the range is the set of values tat correspond with the domain

C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1

D-the horizontal asymptote is x-axis y=0

E- the graph is always decreasing

F-it depend on the base

please help with this question, I am quite confused

Using the letters $A$ and $B$, the following two-letter code words can be formed: $AA$, $AB$, $BB$, $BA$. Using the letters $A$, $B$, and $C$, how many different three-letter code words can be formed

Answers

Given that using the letters A and B, the numbers two-letter code words can be formed: AA, AB, BB, BA. We are asked to use the letters A, B, and C to determine the number of different three-letter code words that can be formed.

A code word is a string of characters used to represent a message, where each character is usually represented by a unique symbol.A code word is a set of $3$ distinct elements of since it is three letters long. There are a total of $3$ choices for the first letter, $3$ choices for the second letter, and $3$ choices for the third letter.

We then have $3\times3\times3$ or $27$ possible code words that can be formed using these letters. Thus, the number of different three-letter code words that can be formed using the letters A, B, and C is $27$.

To know more about numbers visit :

https://brainly.com/question/24908711

#SPJ11

Find an equation of the tangent plane to the given parametric surface at the specified point. Graph the surface and the tangent plane.r(u,v)=u2i+2usinvj+ucosvk; u=1, v=0.

Answers

The equation of the tangent plane to the given parametric surface at the specific point is -2x + 4z = 0  .

In the question ,

it is given that ,

the function is r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

Now,

According to the give function,

r(u,v) = (u² , 2usin(v) , ucos(v))

Then, solving it , We get ,

r(u,v) = (u² , 2usin(v) , ucos(v))

\(r_{u}\) = (u , 2sin(v) , cos(v))

\(r_{u}\) (1,0) = (2 , 0 , 1)

\(r_{v}\) = (0 , 2ucos(u) , -sin(v))

\(r_{v}\) (1,0) = (0 , 2 , 0)

So , the matrix become

\(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&2&0\end{array}\right]\)

On simplifying , we get

i(−2) −j(0) \(+\) k(4) = (−2 , 0 , 4)

r(2,0) = (2 , 0 , 1)

The  plane is

r = −2x \(+\) 4z

r(2,0,1) = −2(2) \(+\) 4(1) = d

−4 \(+\) 4 \(=\) d

d = 0

Therefore , the equation of tangent is -2x + 4z = 0 .

The given question is incomplete , the complete question is

Find an equation of the tangent plane to the given parametric surface at the specified point.  r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

Learn more about Tangent Plane here

https://brainly.com/question/14288056

#SPJ4

Which problem is best represented by the equation 19 + 3x = 40?
Select one:
Ricardo spent $19 then bought 3 boxes of golf balls. If Ricardo had $40, how much
does he have left after shopping?
Yen earned $3 an hour cleaning houses. If Yen worked 19 hours, how many more
hours would she have to work to earn $40?
Gail paid $19 for a pair of jeans, $3 for a pair of socks and then bought a sweater. If
Gail spent $40, how much did she spend on the sweater?
Juan earned $19 baby-sitting and then earned $3 an hour for raking leaves. If Juan
earned $40, how long did it take Juan to rake leaves?

Answers

Answer:

a

Step-by-step explanation:

Find the area of the
shaded region
A 576 square feet?

 Find the area of theshaded regionA 576 square feet?

Answers

Answer:

it's c

Can i be the brainlest?

Write 20.65 in expanded notation

Answers

Answer:

2 * 10 + 6 * .1 + 5 * .01

Step-by-step explanation:

for the graph of a certain quadratic $y = ax^2 + bx + c$, the vertex of the parabola is $(3,7)$ and one of the $x$-intercepts is $(-2,0)$. what is the $x$-coordinate of the other $x$-intercept?

Answers

The \($x$\)-coordinate of the other \($x$\)-intercept is \($\boxed{3-2\sqrt{39}}$\).

Since the vertex of the parabola is\($(3,7)$\), we know that the axis of symmetry is\($x=3$\). Since \($(-2,0)$\) is one of the\($x$\)-intercepts, we can write the quadratic equation in factored form as:

\($$y=a(x+2)\left(x-x_1\right)$$\)

where \($\$ x_{-} 1 \$$\) is the \($\$ \times \$$\)-coordinate of the other \($\$ \times \$$\)-intercept.

We know that the vertex is on the axis of symmetry, so we can use this information to find the value of \($\$ x_{-} 1 \$$\). Since the axis of symmetry is \($\$ \mathrm{x}=3 \$$\), the distance between the vertex at \($\$(3,7) \$$\) and the\($\$ \times \$$\)-intercept at \($\$(-2,0) \$$\) must be the same as the distance between the vertex and the other \($\$ \times \$$\)-intercept, which we don't know yet.

The distance between \($\$(3,7) \$$\) and \($\$(-2,0) \$$\) is:

\($$\sqrt{(3-(-2))^2+(7-0)^2}=\sqrt{25+49}=2 \sqrt{39}$$\)

So the distance between the vertex and the other \($\$ \times \$$\)-intercept is also \($\$ 2$\) |sqrt\($\{39\} \$$\). This means that the\($\$ \times \$$\)-coordinate of the other \($\$ \times \$$\)-intercept must be \($\$ 3+2 \mid$\) sqrt \($\{39\} \$$\) or \($\$ 3$\) 21 sqrt \($\{39\} \$$\).

So the distance between the vertex and the other \($x$\)-intercept is also

\($2\sqrt{39}$\). This means that the \($x$\)-coordinate of the other \($x$\)-intercept must be \($3+2\sqrt{39}$\) or \($3-2\sqrt{39}$\).

Therefore, the \($x$\)-coordinate of the other \($x$\)-intercept is \($\boxed{3-2\sqrt{39}}$\).

To learn more about information visit:

https://brainly.com/question/2716412

#SPJ11

Dave was on a high-rise platform when he jumped off and into the pool below. His height as a function
of time can be modeled by the function, f(t) = -16² +16t+15. Graph the function and answer
the questions that follow.
Dave reached his maximum height at ____ seconds

The highest distance from the water that Dave reached was__ feet

How tall was the platform?

Dave hit the water at approximately ____ seconds
tenth.).

Answers

the platform was 192 feet tall.

Dave was on a high-rise platform when he jumped off and into the pool below. His height as a function of time is given by h(t) = -16t^2 + 64t + 192, where h(t) is his height (in feet) above the water at time t seconds. Find the highest distance from the water that Dave reached, and determine how tall the platform was.To determine the highest distance from the water that Dave reached, we need to find the vertex of the parabolic function h(t) = -16t^2 + 64t + 192. Recall that the vertex of a parabola in the form y = ax^2 + bx + c is given by the point (x = -b/2a, y = c - b^2/4a).In this case, we have a = -16, b = 64, and c = 192.

Therefore, the vertex of the parabola is located att = -b/2a = -64/(2*(-16)) = 2h(t) = -16(2)^2 + 64(2) + 192 = 256 ftHence, the highest distance from the water that Dave reached was 256 feet.To determine the height of the platform, we need to find the initial height from which Dave jumped. Recall that the initial height is given by the constant term in the function h(t).In this case, we have h(0) = -16(0)^2 + 64(0) + 192 = 192 ft

for more search question platform

https://brainly.com/online-tutoring

#SPJ8

A pair of weak earthquakes are modeled by nonlinear inequalities. One earthquake occurred roughly 15 km south and 18 km west of the center of Salt Lake City, Utah. The quake could be felt 16 km away. A couple of days later another earthquake occurred 9 km north and 4 km east of the center of Salt Lake City and could be felt 21 km away. If Salt Lake City is located at (0, 0) on a coordinate grid, the system below represents this scenario.

StartLayout Enlarged Left-brace first row (x + 18) squared + (y + 15) squared less-than-or-equal-to 256 Second row (x minus 4) squared + (y minus 9) squared less-than-or-equal-to 441 EndLayout

Which location in relation to Salt Lake City felt both earthquakes?

12 km east and 2 km north
12 km east and 2 km south
12 km west and 2 km north
12 km west and 2 km south

Answers

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

Answer: 12km west and 2km south

Step-by-step explanation:

Just did it

What value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?

3




-9




0




-1

Answers

Answer:

n = -9

Step-by-step explanation:

4(0.5n − 3) = n − 0.25(12 − 8n)

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

2n - 3n =  - 3 +12

-1n  = 9

n = -9

Sketch a 30∘−60∘−90∘ triangle with your hypotenuse length, and then find the exact length (not a decimal approximation) of each leg. hypolenuse length =20 2. Sketch a 45∘−45∘−90∘ triangle with your hypotenuse length, and then find the length (not a decimal approximation) of each leg. hypotenuse =20

Answers

In a 30∘−60∘−90∘ triangle with a hypotenuse length of 20, the exact lengths of the legs are 10 and 10√3.

In a 45∘−45∘−90∘ triangle with a hypotenuse length of 20, the exact lengths of the legs are both 10.

In a 30∘−60∘−90∘ triangle, the ratio of the lengths of the sides is 1:√3:2. Given that the hypotenuse has a length of 20, the shorter leg can be found by dividing the hypotenuse by 2, resulting in a length of 10. The longer leg is then found by multiplying the shorter leg by √3, giving a length of 10√3.

In a 45∘−45∘−90∘ triangle, the ratio of the lengths of the sides is 1:1:√2. Since the hypotenuse has a length of 20, both legs must have the same length. Therefore, each leg has a length of 20 / √2, which simplifies to 10√2.

Hence, in the 30∘−60∘−90∘ triangle, the exact lengths of the legs are 10 and 10√3, while in the 45∘−45∘−90∘ triangle, both legs have an exact length of 10.

Learn more about right-angled triangles here: https://brainly.com/question/32321074

#SPJ11

Sketch a 306090 triangle with your hypotenuse length, and then find the exact length (not a decimal approximation)
Other Questions
Select one:O a. it shifts the AD curve in the long-termOb. it shifts the AD curve in the short-termOc. it shifts the AS curve in the short-termO d. it shifts the AS curve in the long-term During the process that forms sedimentary rocks, how does compaction affect sediment?-It decreases the amount of calcite in the sediment.-It changes the shape of sand grains.-It decreases the size of interlocking crystals.-It decreases the volume of pore spaces.-It decreases the ion concentration in groundwater. Calculate the speed of a dog running a yard covering 24 m in 52 s. Read the excerpt below.In England a King hath little more to do than to make war and give away places; which, in plain terms, is to empoverish the nation.Thomas Paine, Common Sense, 1776Based on the excerpt, what does Paine suggest about the kings actions? Please select the word from the list that best fits the definitionThe worship of many godsHere are the words:PolytheismEpicsSiltChariotSurplusArchitectureEmpirePriestsCuneiformFertile CrescentPictographsScribeAlphabetRuralIrrigationZigguratImpactMonarchRoleCanalsDivision of laborSocial hierarchyCity-state The hold-up problem is more likely to occur when: a. Own company has high cost in this part of the value chain. b. Agency efficiency is positive. c. Asset specificity is high and the company has little expertise in this part of the value chain. d. Technical efficiency is positive and greater than agency efficiency. Select the correct text in the passage. Which sentence best reveals the emerging theme of class difference? (29) "'Come!' as Shakespeare says, 'there's sympathy for you!' So far we start fair. Education?--I was at Eton1, and----" (30) "I was a Blue-Coat boy2," interrupted Ted again, and something in his tone made Ned look the other way, and idly busy himself in trying to dissociate a tender trail of ivy-leaved mountain campanula from its coarser companions in the turf. (31) "A better education, I expect," he said at last (32) Finally Ned sat up, and knocked the ashes out of his pipe. (33) "About equal, I should say; except, of course, for money." (34) "That means we are unequal in all things," remarked Ted shortly. "You can't deny it. A clerk as I am, out for a Whitsun holiday with ten pounds to spend on it in his pocket, isn't--isn't in the same week with--well! what shall I say----" (35) "A man who employs clerks," suggested Ned with a smile. (36) Ted gave an impatient shrug. "As you will. However you come by it, you admit having a hundred pounds." HELLO? STOP RIGHT THERE. Please help me with this question public health actions frequently involve a balancing of individual rights vs. the good of the community. where that balance is struck is based on: 2 HNO3(aq) + NO(g) 3 NO2(g) + H2O(l) Grxn = ? Gf (kJ/mol) -110.9 87.6 51.3 -237.1 why can't we see a galaxy 15 billion light-years away? (assume the universe is 14 billion years old.) a. no galaxies exist at such a great distance. b. galaxies may exist at that distance, but their light would be too faint for our telescopes to see. c. looking 15 billion light-years away means looking to a time before the universe existed. a bond with 16 years to maturity and a semiannual coupon rate of 6.07 percent has a current yield of 5.69 percent. the bond's par value is $2,000. what is the bond's price? How did South Carolina respond to Lincolns election? The state seceded from the Union. The state militia attacked the Union at Fort Sumter.The state assembly declared war on the Union.The state called for Jefferson Davis to be president of the Union. Jester Sports manufactures tennis rackets. The total cost of producing X rackets per hour is given byC(x)=0.59 x+5.8 +441.The average cost per racket at production level a rackets per hour is C(x) = C(x)/XUse differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 25 per hour. Round to the nearest cent.$ per racketNOTE: Your answer may be negative. you have invested $10,000 compounded continuously at 4% interest. how long does it take the amount to double? 1. To qualify for a loan from a bank, the total in someone's checking andsavings accounts together must be $500 or more.1a. Which of these inequalities best represents this situation?O x +y < 500O x + y s 500Ox+y > 500O x + y 2 5001b. Below is a graph of the equation x + y = 500. Change it so that itrepresents solutions to the inequality representing this situation. Statewhat line you will use (dashed or solid line) and which side you will shade(A or B). * although some railroad lines were built in the south in the 1840s, southerners at midcentury still relied primarily on what mode of transportation? What types of BI decisions include forecasting claim amounts and medical coverage costs, classifying the most important elements that affect medical coverage; predicting which customers will buy new insurance policies When did the Nelson Mandela foundation started Read this passage from A Smart Cookie by Sandra Cisneros.She has lived in this city her whole life. She can speak two languages. She can sing an opera. She knows how to fix a TV. But she doesnt know which subway train to take to get downtown.The author most likely includes this information to help the reader infer thatEsperanzas mother is a great singer.Esperanzas mother is not very smart.Esperanzas mother is delighted with city life.Esperanzas mother is not able to travel much.