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4 years ago

Find the volume of the sphere. Use 3.14 for . Round your answer to the nearest thousandth.

Mathematics

1 answer:

brilliants [131]4 years ago

4 0

V= 4/3 • 3.14 • radius to the 3rd power.

If you don't have the radius, you can find it by dividing the diameter by 2.

Hope this helps!

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Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?<br><br> thank you! :)

sukhopar [10]

Answer:

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

Step-by-step explanation:

$x=2-3\cos(t)$

$y=1+4\sin(t)$

Let's solve for $\cos(t)$ in the first equation and then solve for $\sin(t)$ in the second equation.

I will then use the following identity to get right of the parameter, $t$ :

$\cos^2(t)+\sin^2(t)=1$ (Pythagorean Identity).

Let's begin with $x=2-3\cos(t)$ .

Subtract 2 on both sides:

$x-2=-3\cos(t)$

Divide both sides by -3:

$\frac{x-2}{-3}=\cos(t)$

Now time for the second equation, $y=1+4\sin(t)$ .

Subtract 1 on both sides:

$y-1=4\sin(t)$

Divide both sides by 4:

$\frac{y-1}{4}=\sin(t)$

Now let's plug it into our Pythagorean Identity:

$\cos^2(t)+\sin^2(t)=1$

$\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1$

$\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1$

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

5 0

3 years ago

Read 2 more answers

Each equation below is followed by several stories.

zloy xaker [14]

Not sure sorry edit : oh sorry I was suppose to add this in the comment section

7 0

4 years ago

Eddie is reading a novel for English lass. He has read 173 out of 480. About what percent of the book he has read ?

Katena32 [7]

36%... percentage = (173/480)*100

7 0

3 years ago

Vladimir buys 1.20 pounds of Skittles, 312 pounds of M&Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and t

BlackZzzverrR [31]

Answer: $10.90

Step-by-step explanation:

Skittles-1.44

M&M's-3.744

Pretzels-5.72

Not sure if its a typo, thats if theres 3.12lbs of of M&M's

The answer is theres 312 M&M's is 374.4

6 0

3 years ago

the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a

statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by $P = 2l + 2w$ . We are given the perimeter of the pool along with the width.

$P = 486$

$w = l - 35$

From here, all we have to do is plug back into the original formula:

$486 = 2l + 2(l - 35)$

Which can be further simplified as:

$486 = 2l + 2l - 70$

$486 = 4l - 70$

From here, all we have to do is add 70 to both sides of the equation and divide by four:

$556 = 4l$

$139 = l$

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

$P = 2l + 2w$

$P = 2(139) + 2(104)$

$P = 278 + 208$

$P = 486$

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0

3 years ago

Read 2 more answers