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lana [24]
3 years ago
7

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters. Wha

t is the area of the cross section?
Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0
Answer: 81pi square meters

--------------------------------------------------------

Work Shown

C = 18pi is the given circumference
d = diameter which is unknown

C = pi*d
18pi = pi*d
18 = d
d = 18

The diameter is 18 meters.
Half of this is the radius r = d/2 = 18/2 = 9
The radius is 9 meters

Use the value of r to find the area of the circle
A = pi*r^2
A = pi*9^2
A = pi*81
A = 81pi

The area of the circular cross section is 81pi square meters

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Perimeter is all the sides added up together.
Divide 16 by 2, so that you can get just a measurement of the length and the width.

16/2 = 8

Since the length is 5.25, subtract that by 8.

8-5.25 = 2.75

The width of the phone is 2.75 inches.
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3 years ago
Identify the equation that represents this solution & the correct solution.
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Factor 6y 2 - 48 + 42y.<br><br> (6y + 8)(y - 6)<br> 6(y + 8)(y - 1)<br> 6(y - 1)(y - 7)
astraxan [27]

Answer:

6 (y + 8) (y - 1)

Step-by-step explanation:

Factor the following:

6 y^2 + 42 y - 48

Factor 6 out of 6 y^2 + 42 y - 48:

6 (y^2 + 7 y - 8)

The factors of -8 that sum to 7 are 8 and -1. So, y^2 + 7 y - 8 = (y + 8) (y - 1):

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PS: it's really helpful to pose the question correctly 6 y^2 + 42 y - 48  NOT

6y 2 - 48 + 42y

3 0
3 years ago
Read 2 more answers
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