How you use the Pythagorean theorem in 3D.

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

30° = 0.52

150° = 2.68

-220° = -3.34

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer:

3x² – 2x – 8

=> 3x² – 6x + 4x – 8

=> 3x( x – 2 ) + 4( x – 2 )

=> ( 3x + 4 ) ( x – 2 )

Therefore,

Either, 3x + 4 = 0

3x = - 4

x = - 4/3 (Ans)

And,

x – 2 = 0

x = 2 (Ans)

Answer:

(x - 2)(3x + 4)

Step-by-step explanation:

Given

3x² - 2x - 8

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 8 = - 24 and sum = - 2

The factors are - 6 and + 4

Use these factors to split the x- term

3x² - 6x + 4x - 8 ( factor the first/second and third/fourth terms )

= 3x(x - 2) + 4(x - 2) ← factor out (x - 2) from each term

= (x - 2)(3x + 4)

9 × 13ˣ = 9 × exp(ln(13ˣ ))

… = 9 × exp(x ln(13))

… = A₀ × exp(kx)

so that

A₀ = 9

k = ln(13)

Answer:

12.5

Step-by-step explanation:

The value of LL' is 5 units.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

ML' = 2.5

Triangle JKL dilated to Triangle J'K'L' with a scale factor of 1/3.

This means,

LL' = (2.5 x 3) - 2.5

LL' = 7.5 - 2.5

LL' = 5

Thus,

LL' is 5 units.

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ2

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

[tex]A = \frac{p\cdot a}{2}[/tex] (1)

Where:

[tex]A[/tex] - Area of the regular polygon, in square inches.

[tex]p[/tex] - Perimeter, in inches.

[tex]a[/tex] - Apothem, in inches.

If we know that [tex]p = 162\,in[/tex] and [tex]a = 97.8\,in[/tex], then the area of the regular nonagon is:

[tex]A = 7921.8\,in^{2}[/tex]

The area of the regular nonagon is 7921.8 square inches.

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

Answer:

if you multiply pi by 64^2 times 6 then it comes out to 77207.78

Step-by-step explanation:

64^2 = 4096

4096 (6) = 24576

24576 (π) ≈ 77207.78

Answer:

4 streamlined shapes reduces friction on airplane

A streamlined shape reduces friction on an airplane. The correct statement is 4.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

To determine the correct statement will be

1. Friction is a force causing rotation.

The statement is incorrect because the cause of rotation is force.

2. Efficiency of the lever is a highly efficient 1st class lever.

The statement is incorrect.

3. Torque is output divided by input.

The statement is incorrect because the output divided by input is known as productivity.

4. Streamlined shape reduces friction on an airplane.

The statement is correct.

5. Equal-arm balance loss of energy.

The statement is incorrect.

More about the decision-making link is given below.

https://brainly.com/question/3369578

#SPJ2

Answer:

Answer is A

Step-by-step explanation:

Area of the base = Area of Rectangle = Length x Width = 15x7.

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Answer:

24?

Step-by-step explanation:

Answer:

the unit price for this question is 1.19

Answer:

$1.19

Step-by-step explanation:

5.95/5=1.19

Answer:

Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

Answer:

4/2

Step-by-step explanation:

Answer:

[tex]\frac{121}{16}[/tex]

Step-by-step explanation:

[tex](-2\frac{3}{4})^2\\= (-\frac{4\times2+3}{4})^2\\=(-\frac{11}{4})^2\\=\frac{121}{16}[/tex]

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

you are the 35th caller.

Step-by-step explanation:

Multiples of 5: 5,10,15,20,25,30,35,40,45,50

Multiples of 7: 7,14,21,28,35,42,49,56,63,70

Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.

Answer:

understandable

Step-by-step explanation:

Answer:

Answer is D hope this helps

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope you help make me brainist

Answer:

2.8 I think

Step-by-step explanation:

plz tell me if its wrong

Answer:

120

Step-by-step explanation:

boys : girls

8 : 5

x : 75

to find x, take 75 and divide it by 5:

75 ÷ 5 = 15

(you do this to determine how you can go from 5 to 75)

take the qoutient and multiply it by 8:

15 × 8 = 180