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Answer: -10m + 30
Step-by-step explanation:
<u>Given expression</u>
(m - 3) (-10)
<u>Expand parentheses and apply the distributive property</u>
=m · (-10) - 3 · (-10)
<u>Simplify by multiplication</u>
=
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Answer:
a)
side a is opposite, side b is adjacent, side c is hypotenuse
b)
side a is adjacent, side b is opposite, side c is hypotenuse
Step-by-step explanation:
Answer:
A. 160
B. 960
Step-by-step explanation:
The interest earned after 5 years is the balance - the initial balance: 160
The balance is 800 * (1 + .04*5): 960
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165
