Find the perimeter of the yard ( the distance around the yard).
A rectangle has two sides of each dimension.
The perimeter is 20 + 20 + 45 + 45 = 130 feet.
Now multiply the total feet by the cost per foot:
130 feet x 25 per foot = $3,250 total.
She deposits 120 a month for 4 months.
Multiply: 120 x 4 = 480
Add 480 to the starting amount:
-25.50 + 480 = 454.50
The answer is B. $454.50
Answer:
y-axis
Step-by-step explanation:
points are (x,y)
since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.
reflection just means it rotates 180 degrees (out of the paper, not around)
Answer:
x=0, 1/4
Step-by-step explanation:
16x^2-4x=0
factor out the 4x,
4x(4x-1)=0
zero property,
4x=0, 4x-1=0,
x=0/4=0
4x=0+1
4x=1
x=1/4
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.