He saved 5/24 of his money
Make common denominators
1/6 * 4/4 =4/24
5/8 * 3/3= 15/24
15/24 + 4/24 = 19/24
24/24 - 19/24
= 5/24
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.
<h3>Answer:</h3>
- the result in scientific notation is 6.561×10⁻⁷
- the result as a decimal is 0.000 000 656 1
<h3>Explanation:</h3>
The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.
... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2
... = 65.61 × 10^-8
... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point
The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...
... 6.561 × 10^-7 = 0.0000006561
Answer:
(-3, 1)
The solution is the point at which both lines intersect.
This is the solution since both lines would have that point and only that ppoint in this type of problem. IN a graph where 2 lines are parralel, there is no solution as they never intersect . on a graph where the 2 lines overlap there is infinite solutions. FInally in a graph like this there is exactly one solution and it is the intersection of both lines
Step-by-step explanation:
