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goldfiish [28.3K]

3 years ago

6

These two polygons are similar.

1 answer:

Nady [450]3 years ago

4 0

9

yea........ hi how you doinn

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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago

in order to be invited to tutoring or extension activities a student's performance must be at least 20 points higher or lower th

Ad libitum [116K]

Answer:

p ≤ 85 or p ≥ 125

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

triangle MNO is an equilateral triangle with sides measuring 16 units What is the height of the triangle?

fiasKO [112]

see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

so

in the equilateral triangle ABC

$AB=BC=AC=16 units$

the height of the triangle is the segment BD

in the right triangle BCD

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

solve for BD

$BD^{2}=BC^{2}-DC^{2}$

substitute the values

$BD^{2}=16^{2}-8^{2}$

$BD^{2}=192$

$BD=\sqrt{192}\ units$

therefore

<u>the answer is</u>

the height of the triangle is $\sqrt{192}\ units$

7 0

3 years ago

Read 2 more answers

The length,AB of the rectangular lot is 1 foot less than two times its width, BC. If the perimeter of the rectangular lot 394 fe

r-ruslan [8.4K]

Answer:

$AB=131\ ft$

Step-by-step explanation:

we know that

The perimeter of the rectangular lot is

$P=2(AB+BC)$ ----> equation A

where

AB is the length

BC is the width

we have

$AB=2BC-1$ ---> equation B

$P=394\ ft$ ----> equation C

substitute equation B and equation C in equation A

$394=2(2BC-1+BC)$

solve for BC

$394=2(3BC-1)$

$394=6BC-2$

$6BC=396$

$BC=66\ ft$

<em>Find the value of AB</em>

$AB=2BC-1$

$AB=2(66)-1$

$AB=131\ ft$

6 0

3 years ago

If multiplying by 1/4 makes a positive number smaller then what does dividing by 1/4 do to the value of the number? Explain your

Free_Kalibri [48]

Hello,

If multiplying by 1/4 makes a positive number smaller then dividing by 1/4 makes the number its being dividing to see how many times 1/4 can be put into that number. For Example,

2 / 1/4 = 8

1/4 can go into 2 eight times!

Hope This Helps!

5 0

3 years ago