Help me please on number 1......

On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped

Alenkinab [10]

Step-by-step explanation:

Arc length formula is

$s = rx$

where x is radinas.

A semi circle has a radian measure of

$\pi$

The radius is half of the diameter, 12 so the radius is

$12 \times \frac{1}{2} = 6$

So the arc length is

$6 \times \pi = 6\pi$

Area of semi circle is

$\frac{1}{2} \pi {r}^{2}$

where r is the radius.

$\frac{1}{2} \pi6 {}^{2}$

$\frac{1}{2} 36\pi$

$18\pi$

3 0

2 years ago

Help plz if your good at finding the area of the compound figure plz help if you don’t know the answer your not needed but if yo

spin [16.1K]

Answer:

96cm^2

Step-by-step explanation:

We can divide it into two rectangles: 7x8 and 10x(12-8), arriving at the solution of 7cm*8cm + 10cm*4cm = 56cm^2 + 40cm^2 = 96cm^2

We can also divide it into two rectangles: 12x7 + (12-8)x(10-7), arriving at 12cm*7cm + 4cm*3cm = 84cm^2 + 12cm^2 = 96cm^2

We could also divide it to one big rectangle and one "negative" rectangle of 10x12 and -8x(10-7), arriving at 10cm*12cm - 8cm*3cm = 120cm^2 - 24cm^2 = 96cm^2

6 0

3 years ago

Write and solve an equation for the following:

IrinaVladis [17]

Answer:

x = (180 - [71 + 9]) ÷ 2

Step-by-step explanation:

71 + 9 = 80

180 - 80 = 100°

100° ÷ 2 = 50°

7 0

2 years ago

What is the volume of the sphere that has a diameter of 3? use 3.14 for pie

aev [14]

Hey ! there

Answer:

113.04 unit cube

Step-by-step explanation:

In this question we are provided with a sphere having radius 3 units and value of π is 3.14 . And we're asked to find the volume of sphere .

For finding volume of sphere , we need to know its formula . So ,

$\qquad \qquad \: \underline{\boxed{ \frak{Volume_{(Sphere)} = \dfrac{4}{3} \pi r {}^{3} }}}$

Where ,

π refers to 3.14

r refers to radius of sphere

Solution : -

Now , we are substituting value of π and radius in the formula ,

$\quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times (3) {}^{3}$

Simplifying it ,

$\quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times 3 \times 3 \times 3$

Cancelling 3 with 3 :

$\quad \longrightarrow \qquad \: \dfrac{4}{ \cancel{3}} \times 3.14 \times 3 \times 3 \times \cancel{3}$

We get ,

$\quad \longrightarrow \qquad \:4 \times 3.14 \times 9$

Multiplying 4 and 3.14 :

$\quad \longrightarrow \qquad \:12.56 \times 9$

Multiplying 12.56 and 9 :

$\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{113.04 \: unit \: cube}}}} \quad \bigstar$

Henceforth , volume of sphere having radius 3 units is 113 .04 units cube .

<h2>#Keep Learning</h2>

5 0

1 year ago

Ayana works at Eastern Community College as a math teacher. She will

AveGali [126]

Answer:

a. $2622.00

Step-by-step explanation:

After taking out federal health insurance taxes, Ayana's pay for the year will be ...

$45000 × (1 - 0.224) = $45000 × 0.776 = $34,920

On a monthly basis, that is ...

$34,920/12 months = $2910 per month

Then, additional deductions of $3 + 85 + 200 = $288 are made, so her pay will be ...

$2910 -288 = $2622 per month

_____

Comment on federal taxes

Federal income taxes are not accounted for in the problem statement. If Ayana can claim "head of household" status (and is not married), she will have federal income tax on the order of $121 per month deducted from the above amount, assuming her retirement plan deduction is "before tax."

8 0

3 years ago