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Semmy [17]
3 years ago
5

Find the area of a circle with diameter 10 cm . Use the value 3.14 for π , and do not round your answer. Be sure to include the

correct unit in your answer.
Mathematics
1 answer:
NemiM [27]3 years ago
6 0

Formula for the area of a circle:

A = πr²                   [A = area        r = radius]

The radius is \frac{1}{2} (half) the diameter. Since the diameter = 10cm, the radius = 5cm.

You know:

r = 5cm         Substitute/plug this into the equation

A = πr²

A = π(5)²    

A = 25π  ->     A = 25(3.14)

A = 78.5cm²

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
inysia [295]
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):

5x + 10y = 725
x + y = 100

By substitution, we get:

5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55

100 - 55 = 45

Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.

To verify, plug and chug the results back into the original equations:

5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]

55 + 45 = 100 [OK]
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9: is answer 3

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torisob [31]

Answer:

She didn't take the LCM, made an error while cross multiplying

x = -6

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a)she didn't take the LCM before cross multiplying.

Also, didn't cross multiply correctly

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1 - 2/(x-2) = (x+2-1)/(x+2)

1 - 2/(x-2) = 1 - 1/(x+2)

1 - 2/(x-2) = 1 - 1/(x+2)

-2(x+2) = -1(x-2)

-2x-4 = -x+2

x = -6

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