The longest side of a triangle is twice the length of the shortest side. The remaining side is 20 cm longer than the shortest side. The perimeter of the triangle is 132 cm. What is the length of each side?

Answer:

volume of the crate =40%

Step-by-step explanation:

volume of the crate =

using formula

L×B×H× dat_3

40 ×3=120

divide it by 3 month.therfore the volume°40

Answer:

The third triangle

Step-by-step explanation:

The Exterior Angle is the angle a side of a shape and a line extended from the side next to it.

So for example, the first picture shows an exterior angle because a line was extended and it forms an angle with the triangle's side.

The second picture is still an exterior angle because the angle is formed with an extended line and the triangle's side.

The third photo shows an angle formed between a random line and the triangle's side. This is not an exterior angle because the angle is not formed with any side's extension.

The fourth photo is an exterior angle because it shows the angle being formed with an extension of a line from the triangle and a side of the triangle.

Hope this helps! Feel free to ask any questions! :)

Answer:

C the third triangle. Hope this helps

Step-by-step explanation:

The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.

To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.

Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.

Using the distance formula, we have:

PQ² = (x - x)² + (y - 0)²

Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:

PQ² = y²

Substituting the value of PQ as 4 units:

4² = y²

16 = y²

Taking the square root of both sides:

\(\sqrt{16 } = \sqrt{y^2}\)

±4 = y

Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.

Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:

y = ±4

This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.

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Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

The solution sets must be in the shaded region of the systems of inequalities. It cannot be on either lines because both lines are dotted. In that case, only B and D work because they are inside the shaded regions while the other points are not.

Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

To be a solution, a point must be in the shaded part of the graph.

Answer: (2, 4), (10, -1)

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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The coordinate of the image point A (-1, 4).

In mathematics, a translation is an up, down, left, or right movement of shapes. Because the translated shapes appear to be identically similar in size to the original ones, they are congruent with one another.

The Rule of Translation of points is given by (x, y) → (x ± h, y ± k)

where the horizontal and vertical shiftings are h units and k units, respectively.

Given that

The image point of A after a translation right 4 units and up 4 units is the point B

Let A(x, y) be the point that translated to right 4 units and up 4 units

According to the given formula

(x, y) → (x ± h, y ± k)

Since the point is translated to right and up

=> (x, y) → (x + h, y + k)  

=> (x, y) → (x + 4, y + 4)

From the given data the final point is B(3, 8)

=> (x + 4, y + 4) = (3, 8)  

=> x + 4 = 3  and  y + 4 = 8

=> x + 4 = 3      

=> x = 3 - 4 = -1

=> x = -`1          

=> y + 4 = 8  

=> y = 8 - 4

=> y = 4  

Therefore,

The coordinate of the image point A (-1, 4).

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Answer:

C. one-half

Step-by-step explanation:

1/6 / 2/6

1/6 *6/2

=1/2

Hope this helps!!

Answer:

C)

\( \frac{1}{2} \)

Step-by-step explanation:

Your problem should be set up like so:

\( \frac{1}{6} \div \frac{2}{6} \)

When dividing fractions you multiply by the reciprocal of the second fraction. Therefore your question changes to this:

\( \frac{1}{6} \times \frac{6}{2} \)

You multiply as across as normal and you'll end up with

\( \frac{6}{12} \)

Which when simplified gives you

\( \frac{1}{2} \)

Answer:

The value of the machinery after 5 years is $236.20

Step-by-step explanation:

Generally, we have the depreciation exponential expression as;

V(t) = I (1 - r)^t

V(t) is the value of the machinery at a point in time

I is the initial value or the cost of the machinery when bought which is $400

r is the rate of decrease which is 10% and is same as 10/100 = 0.1

t is the time which is 5 years

Substituting these values;

V(5) = 400( 1 - 0.1)^5

V(5) = 236.196

to the nearest vent, this is $236.20

Answer:B

Step-by-step explanation:

Answer:

arrow to the right no filled in dot

Step-by-step explanation:

the (>) shows you which direction the thing is going

in this situation you just have to simplify the problem

4x+2=10

-2. -2

4x=8

x=2

x>2

Answer:

You would put it on 10 and use the arrow pointing the right with a open dot. (The dot should not be filled in and looks like a bubble.)

Step-by-step explanation:

The number of hours it will take the airplane to fly the given distance would be = 4.5 hours

To calculate the number of hours that can be used for the distance, the following needs to be done. That is;

The number of hours it take to complete 3600 miles = 3 hours

Therefore the number of hours it will take to complete 5400miles = X hours.

That is;

3600 miles = 3 hours

5400 miles = X hours

make X the subject of formula;

X = 5400×3/3600

= 16,200/3600

= 4.5 hours.

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The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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Answer:

X intercepts (-30,0)

Y intercepts (0,-3)

Answer:

Step-by-step explanation:

here opposite =20, hypotenuse=29

to find adjacent use formula

a^2+b^2=c^2

20^2+b^2=29^2

400+b^2=841

b^2=841-400

b=\(\sqrt{441\\}\)

b=21

tan theta=opposite/adjacent

=20/21

therefore tan theta =20/21

Answer:

D. tanθ = 20/21

Step-by-step explanation:

Remember that sinθ = opposite/hypotenuse. In this case, since sinθ = 20/29, we are going to say that opposite = 20 and hypotenuse = 29.

To solve for the adjacent side, use the Pythagorean theorem, a^2 + b^2 = c^2.

When you plug in your values and solve for the other leg, you'll get 21.

Now that we know that the adjacent side/other leg is equal to 21, we can find tanθ, since it's equal to opposite/adjacent.

Opposite = 20

Adjacent = 21

tanθ = 20/21

Answer:5.02 feet is the answer

Answer:

9/14.

Step-by-step explanation:

The probability is given as a fraction or percentage.

9:5 odds in favour of a horse winning  means the horse will win 9 races for every 5 it does not win.

So the probability that this horse will win is 9/(9+5)

= 9/14.

Answer: They are both correct.

Step-by-step explanation: It corrected me when I got the answer wrong.

Answer:

Step-by-step explanation:

they are both correct

The recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

To represent the given arithmetic sequence where 5 is added to each term to determine each successive term, the recursive formula can be expressed as: f(n+1) = f(n) + 5

In this formula, f(n+1) represents the next term in the sequence, while f(n) represents the current term. By adding 5 to each term, we can generate the next term in the sequence.

For example, let's assume the first term of the sequence is f(1) = a. Then, the second term would be f(2) = a + 5. The third term would be f(3) = (a + 5) + 5 = a + 10, and so on.

By using the recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

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To find the volume of the solid with equilateral triangular cross-sections, we need to integrate the area of each equilateral triangle over the interval [0,π]. The area of an equilateral triangle with side length s is given by (s^2√3)/4. Since the triangles have bases running from the x-axis to the curve y=2√sin x, their side lengths will be 2√sin x. Therefore, the volume is given by the integral:

V = ∫[0,π] (2√sin x)^2√3/4 dx

Simplifying, we get:

V = √3∫[0,π] sin x dx

Using the substitution u = cos x, we get:

V = √3∫[-1,1] √(1 - u^2) du

Using the formula for the integral of the half-circle, we get:

V = (√3/2)π

Therefore, the volume of the solid is (√3/2)π.

To find the volume of the solid with square cross-sections, we need to integrate the area of each square over the interval [0,π]. Since the squares have bases running from the x-axis to the curve y=2√sin x, their side lengths will be 2√sin x.

Therefore, the volume is given by the integral:

V = ∫[0,π] (2√sin x)^2 dx

Simplifying, we get:

V = 4∫[0,π] sin x dx

Using the identity ∫sin x dx = -cos x + C, we get:

V = -4cos x ∣[0,π]

Since cos π = -1 and cos 0 = 1, we get:

V = -4(-1 - 1) = 8

Therefore, the volume of the solid is 8.

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Answer:

SAS

Step-by-step explanation:

Answer:

B Im pretty sure

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just going by the trend this makes the most sense

The total surface area of cylinder is 112π units².

The surface area of cylinder is -

A = 2πr(h + r)

Given is a cylinder as shown in the image attached.

We can write the total surface area of cylinder as -

A = 2πr(h + r)

A = 2π x 4 x (10 + 4)

A = 8π x 14

A = 112π

Therefore, the total surface area of cylinder is 112π units².

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Answer:

Step-by-step explanation:

The answer is 3

The reasonable domain is all real numbers greater than or equal to 0.

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Given:

In a research experiment,

the population of a colony of bacteria doubles every hour.

Here, we can use exponential growth function.

The population, f(x), of the colony after x hours can be modeled by the function f(x)=25 ⋅ 2ˣ.

The value of x can not be negative because it represents time.

The domain of the function is all achievable values.

So, the domain is  all real numbers greater than or equal to 0

Therefore, the domain is all real numbers greater than or equal to 0.

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The percentage represented is 72%, and the decimal is 0.72

First lets find the decimal, it will be equal to the quotient between the total number of shaded squares and the total number of squares.

There are 200 squares in total, and of these 200, there are 144 shaded ones, then the decimal is:

d = 144/200  = 0.72

To find the percentage, you only need to multiply the decimal by 100%, we will get:

p = 100%*0.72 = 72%

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Answer:

the answer is d

Step-by-step explanation:

hopefully this helps :)

Answer:

Parallel - Always

Perpendicular - Always

Circle - Never

Step-by-step explanation:

Parallel lines always exist in the same plane.

Circle needs to be marked in order to be measured.

Quoteing from https://brainly.com/question/4854505#:~:text=As%20you%20can%20see%2C%20the%20red%20and%20blue,N.%20In%20conclusion%2C%20perpendicular%20lines%20are%20always%20coplanar.

" the red and blue lines are perpendicular. Notice that the red line lies on the plane M and also on the plane N, and the blue line only lies on the plane N. Therefore, both lines lie on the plane N. In conclusion, perpendicular lines are always coplanar."

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Please give brainliest thanks! Also I quoted it and listed where i took the info so brainly mods. please do not take this down

Parallel lines are always coplanar. Perpendicular lines are always coplanar and, Distance around an unmarked circle can never be measured.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.

1. Parallel lines are always coplanar.

When two lines are parallel to each other it means that the two lines will never intersect each other and their plane is also the same.

2. Perpendicular lines are always coplanar.

From the definition that two lines will be perpendicular to each other their angle should be 90 degrees or they should intersect at 90 degrees angle to each other.

3. Distance around an unmarked circle can never be measured.

We need to have a marked circle to measure the distance. So, the distance from the centre of the circle to one point of it is the radius. Moreover, the distance between two points of the circle taking a line passing through the centre is the diameter of the circle.

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a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:

what does that question mean?