Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
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B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
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Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
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As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.
Let's solve your inequality step-by-step.<span><span>−28</span><<span>v−16</span></span>
Step 1: Flip the equation.<span><span>v−16</span>><span>−28</span></span>
Step 2: Add 16 to both sides.<span><span><span>v−16</span>+16</span>><span><span>−28</span>+16</span></span><span>
v><span>−12</span></span>
Answer:<span>v><span>−<span>12</span></span></span>
Answer:
C
because it is given that the vertex is (4, - 1) an an equation C it is clearly seen that the vertex is same.
The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03
Step-by-step explanation:
Step 1 :
Given,
The percentage of students buying the raffle ticket = 30%
The percentage that the student who bought the ticket wins the prize = 10%
We need to determined the probability that randomly selected student will buy a raffle ticket and win a prize.
Step 2 :
The probability that a student buys the raffle ticket = 
The probability that a student wins a prize = 
= 
The probability that a student who buys the ticket wins a price can be computed by taking the product of the above 2 probabilities.
= 
× = 
= 0.03
Step 3 :
Answer :
The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03
MAB = 110
mACB = 360 - 110 = 250
hope it helps
