How do you solve
9
x
−
4
=
81
?

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

---------------------------

Given is the parallelogram.

Area of a parallelogram:

Substitute the values and find the area:

Step-by-step explanation:

Let the side parallel to the river be x meter and the other two sides be of y meter, then

 \(12 x+(2 y)(4)=3600\)

\(12 x+8 y &=3600\)

\(3 x+2 y &=900\)

\(2 y &=900-3 x\)

The area of the rectangle is \(A=xy \)

Substitute into to express the area in a single variable x as,

\(A(x) &=x\left[\frac{1}{2}(900-3 x)\right]\)

\(=\frac{1}{2}\left(900 x-3 x^{2}\right)\)

Differentiate A(x) with respect to x and equate to zero as,

\(A^{\prime}(x) &=0\)

\(\frac{d}{d x}\left[\frac{1}{2}\left(900 x-3 x^{2}\right)\right]=0\)

\(900-3(2 x) =0\)

x=150

Here, \(A^{\prime \prime}(x)=-3 x<0\) at \(x=150 \Rightarrow A\) is maximum

Therefore, the dimension is:

Length of side parallel to the river: x=150 m.

Length of other two side: \(y=\frac{1}{2}(900-450)=225\) m.

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer: pls mark me brainiest

Step-by-step explanation:

I am very sure that the answer is V≈351.86

Answer:

112π

Step-by-step explanation:

Cubic units are units when talking in the 3rd dimension

The volume of a cylinder is πr² x h

find the area of the base first.

since we can write it in terms of π, don't worry about decimals.

The radius is 4.

plug it in, the base's area is 16π. Multiply that by the height, 7.

16(7)π 

112π is the volume

======================================================

Work Shown:

B = amount Beth earned

P = amount Pam earned

amounts are in dollars

Pam earned $4 less than 3 times as much as Beth, so,

P = 3B-4

Together they earned $860, meaning

P+B = 860

Plug the first equation into the second. Solve for B

P+B = 860

3B-4+B = 860

4B-4 = 860

4B = 860+4

4B = 864

B = 864/4

B = 216

Use this to find P

P = 3B-4

P = 3*216-4

P = 648-4

P = 644

Beth earned $216 and Pam earned $644.

----------------------------------------

Check:

B+P = 860

216+644 = 860

860 = 860

First equation is true

P = 3B-4

644 = 3*216-4

644 = 644

Second equation is true

Both equations are true when (B,P) = (216,644) so the solutions have been confirmed.

Answer:

D. y + 9 = -4( x + 7 )

slope -4

y-intercept (0,-37)

-

(-7 , -9 ) - slope -4

by using slop-intercept form

y = -4x - 37

The standard deviation of the examination grades in Maths SL for the class would be 1. 39.

First, list the grades based on their frequencies to be:

2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7

Then find the mean :

= ( 2 + 2 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 +7 + 7 + 7 + 7 + 7 ) / 32

= 5. 125

Then find the variance :

= ( ∑ ( x - mean ) ² / number of grades )

= ((2 - 4.85)² + (2 - 4.85)² + (3 - 4.85)² + (3 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)²) / 20

= 1. 921875

The standard deviation can be found by the formula :

 σ = √Variance

= √ 1. 921875

= 1. 39

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Earth's diameter is 0.0092 times less than the sun's diameter.

The Diameter of Earth = 1.3 * 10⁴ km

The Diameter of Moon = 3.5 * 10³ km

Let the diameter of sun be x km

According to the question

The diameter of the sun is 400 times that of the moon.

x = 400 * 3.5 * 10³ km

= 14 * 10⁵ km

The Diameter of earth / diameter of sun

=  1.3 * 10⁴ / 14 * 10⁵

= 0.0092

Hence, The diameter of the Earth is 0.0092 times that of the Sun.

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(a) The printer will print 3.5 pages per minute.

(b) It will plant 0.13 acres of seed per pound.

What is a unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.

(a) If a color printer prints 14 pages in 4 minutes.

   So it will print = 14/4

                           = 3.5 pages per minute

(b) If it takes 23 pounds of seed to completely plant a 3 - acre field

  So it can plant = 3/23

                           = 0.13 acres per pound.

Hence,

(a) The printer will print 3.5 pages per minute.

(b) It will plant 0.13 acres of seed per pound.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

\(y=\dfrac13x-4\)

\(3y-x=-7\)

Substitute \(y=\dfrac13x-4\) in \(3y-x=-7\),  we get

\(3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7\) , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

Answer:

1 + 4 = 5

4/8 +3/8 = 7/8

5 7/8 - 7/8 = 5 inches left on the ground after 3 hours

Step-by-step explanation:

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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5 times 5 = 25

5 x 5 = 25

5 + 5 + 5+ 5 +5 = 25

Answer:

answer is going to be 25

Step-by-step explanation:

so pretend you have 5 bags of 5 apples, this should stand for 5(bags of apples) and 5(apples in each bag), if you add the apples all together it will be 25 in total, or just try adding 5 five times: 5+5+5+5+5

Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

The Distance between Amanda and the rope is approximately 2317.9 ft.

Let's denote the distance between Amanda and the rope by x. Then, the distance between Jeremiah and the rope is 4000 - x (since they are separated by a horizontal distance of 4000 ft). We can use trigonometry to find the value of x.

First, let's consider Amanda's angle of elevation. We can see that the triangle formed by Amanda, the rope, and the helicopter is a right triangle with angle 60°. Therefore, we have:

tan(60°) = x/h

where h is the height of the helicopter above the ground. Solving for h, we get:

h = x/tan(60°)

Next, let's consider Jeremiah's angle of elevation. We can see that the triangle formed by Jeremiah, the rope, and the helicopter is also a right triangle, but with angle 30°. Therefore, we have:

tan(30°) = (4000 - x)/h

Substituting the expression for h that we obtained earlier, we get:

tan(30°) = (4000 - x)/(x/tan(60°))

Simplifying this expression, we get:

tan(30°) = (4000tan(60°) - x)/x

Solving for x, we get:

x = 4000tan(60°)/(tan(60°) + √3)

Using a calculator, we can evaluate this expression to get:

x ≈ 2317.9 ft

Therefore, the distance between Amanda and the rope is approximately 2317.9 ft.

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Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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here is your answer is it helpful?

Answer:

it can be 100 because percentages are out of 100

Answer:

F for number 14

Step-by-step explanation:

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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cdf of U(n) = Var(Sn)=1

A standard function is one that is defined on an interval of R and is acquired by a finite series of standard operations beginning with any three fundamental functions.

f(x) = x is the identity function. f(x) = exp, an exponential function (x)

given

let U1, . . . ],

U(n) be their maximum

so cdf of U(n) =does not have a limiting distribution.

Why will a pub and up be equal to zero when Y is less than and one win in is less than the other.

There isn't a standard distribution function that can match this limit everywhere.

hence  cdf of U(n) = Var(Sn)=1

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Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer: x^2+6x+9

Step-by-step explanation:

this will factor out to

X^2+6x+9

Answer:

x^2 + 6x + 9

Step-by-step explanation:

This is asking for (x+3) (x+3)

Using the FOIL method

(x * x) First, x times x

+ 3x Outside, x times 3

+ 3x Inside, x times 3

+ 9 Last, 3 times 3

Therefore, we have

(x*x) + 3x + 3x + 9

And simplified

x^2 + 6x + 9

Answer:

7.5

Step-by-step explanation:

use the formula A=1/2bh

Answer:

C

Step-by-step explanation:

Not A b/c the difference b/w 85 and 17 is not 76

Not D b/c the difference b/w 97 and 17 is not 76

Not B b/c 16 is not 20% of 92

By the process of elimination the answer is C

Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation: