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3 years ago

At Roosevelt High School, there are six more students on the

Mathematics

1 answer:

motikmotik3 years ago

6 0

Answer:

24 students work on the newspaper and 18 are on the boys' tennis team

Step-by-step explanation

42-6=36

36/2=18

18+6=24

24+18=42

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You stand 50 feet from a monument. The angle of depression from the top of the monument to your feet is 64 degrees. Approximatel

Murrr4er [49]

Answer:

The monument is approximately 86.6 feet tall

Step-by-step explanation:

The given monument parameters are;

The distance of the person from the monument = 50 feet

The angle of depression from the top of the monument to the person's feet = 64°

Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;

tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)

∴ The height of the monument = tan(Angle of depression) × The distance from the monument

Substituting the known values, gives;

The height of the monument = tan(60°) × 50 ≈ 86.6

The height of the monument ≈ 86.6 feet.

7 0

3 years ago

HELP! I'll give brainliest. I'm trying to help my brother and he is failing so please help me. Just..Please?!!!!!!

vovangra [49]

Answer:

35.77709

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What's 5*(-2/3+3x) ?

sdas [7]

<span>5*(-2/3+3x)
= 15x - 10/3

hope it helps</span>

7 0

3 years ago

Solve for y in -8×+4y=24

s344n2d4d5 [400]

Factor out the common term 4

-4(2x - y) = 24

Divide both sides by -4

2x-y= - 24/4

Simplify24/4 to 6

2x -y = -6

Subtract 2x from both sides

-y = -6 - 2x

Multiply both sides by -1

y = 6 + 2x

5 0

3 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

4 0

1 year ago