3 years ago

What is the measure of ∠x?

1 answer:

6 0

The angle is a complementary angle so both angles add up to 90 degrees

Therefore set your equation equal to 90 to find angle of x

53+x=90

Subtract 53 from both sides

X= 37 degrees

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

Whitepunk [10]

Answer:

$A=81\pi\ m^{2}$

Step-by-step explanation:

Step 1

Find the radius of the circular cross section

we know that

The circumference is equal to

$C=2\pi r$

we have

$C=18\pi\ m$

substitute and solve for r

$18\pi=2\pi r$

simplify

$18=2 r$

$r=9\ m$

Step 2

Find the area of the circular cross section

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=9\ m$

substitute

$A=\pi (9)^{2}$

$A=81\pi\ m^{2}$

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