Answer:
r = 8
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
16 pi = 2 * pi r
Divide each side by 2 pi
16 pi /2 pi = 2 pi r / 2 pi
8 = r
Divide the length of the wall by 2 to find the center of the wall:14/2 = 7 feet
The center of the painting is 2/2 = 1 foot.
The edge of the wall would be the center of the wall minus the center of the painting:
7 - 1 = 6 feet.
There should be 6 feet on each side of the painting.
Answer:
-66
Step-by-step explanation:
P(8) = -8^2 - 2
-64 -2 = -66
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.
<h3>What is the
triangle inequality theorem?</h3>
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

Given the length of the two sides of the triangle, therefore, we can write the inequalities,
8 + 5 > x ⇒ 13 > x
8 + x > 5 ⇒ x > - 3
5 + x > 8 ⇒ x > 3
Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.
Hence, the correct option is C.
Learn more about the Triangle Inequality Theorem:
brainly.com/question/342881
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