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2 years ago

The diameter of a volleyball is 8.15 inches. What is the volume of the ball,

Mathematics

2 answers:

Ivan2 years ago

8 0

Answer:

<h2>B. 283.45 cubic inches.</h2>

Step-by-step explanation:

We know that a volleyball has spherical form.

To find the volume of a sphere, we have the following formula

$V_{sphere}=\frac{4}{3} \pi r^{3}$

Now, we know that the radius is defined as half the diameter

$r=\frac{d}{2} \\r=\frac{8.15in}{2}\\ r=4.075in$

Then, we replace the radius to find the volume of the ball

$V_{sphere}=\frac{4}{3} (3.14) (4.075in)^{3}=283.45 in^{3}$

Therefore, the right answer is B. 283.45 cubic inches.

sattari [20]2 years ago

4 0

Answer:

Volume

≈ 283.49n

So B. 283.45in

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Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this

Lena [83]

Answer:

$\sin\,\theta =-\frac{\sqrt{21} }{5}$

$\tan\,\theta =\frac{\sqrt{21} }{2}$

$\sec\,\theta = \frac{-5}{2}$

$cosec\,\theta =\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{2}{\sqrt{21} }$

Step-by-step explanation:

$\cos\theta =\frac{-2}{5}$

As both $sin\,\theta$ ,

$\theta$ lies in the third quadrant.

In the third quadrant,

$\sin\theta$

$\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}$

$\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}$

$\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}$

$\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }$

3 0

2 years ago

32 is 40% of what number?<br><br><br><br> Enter your answer in the box.

Rufina [12.5K]

34 / .40 = 85

I hope this helps :)

6 0

2 years ago

Read 2 more answers

Please help!!!!<br> I desperately need the correct answer I’ve been trying all day!

zysi [14]

Answer:14708

Step-by-step explanation:Exponential Functions:

y=abxy=ab^x this is not right not correct

y=ab

a=starting value = 13000a=\text{starting value = }13000

a=starting value = 13000

r=rate = 2.5%=0.025r=\text{rate = }2.5\% = 0.025

r=rate = 2.5%=0.025

Exponential Growth:\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.025=1.025b=1+r=1+0.025=1.025

b=1+r=1+0.025=1.025

Write Exponential Function:

y=13000(1.025)xy=13000(1.025)^x

y=13000(1.025)

Put it all together

Plug in time for x:\text{Plug in time for x:}

Plug in time for x:

y=13000(1.025)5y=13000(1.025)^{5}

y=13000(1.025)

y=14708.30677y= 14708.30677

y=14708.30677

Evaluate

y≈14708y\approx 14708

y≈14708

5 0

3 years ago

Read 2 more answers

Jim and Em baked 33 macaroons.

bearhunter [10]

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

33=x+x+5

33=2x+5

33-5=2x+5-5

28=2x

28/2=2x/2

14=x

This means that Em made 14 macaroons.

14+5=19

Therefore, Jim baked 19 macaroons.

4 0

3 years ago

1. What is the solution to the equation<br> below?<br> -5/4x + 2/5 = -13/30

Artemon [7]

Answer:

2/3 or .6 repeating

Step-by-step explanation:

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3 years ago