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ivann1987 [24]
3 years ago
6

The regular octagon in the ceiling of this cathedral has a radius of 10.5 feet and a perimeter of 64 feet. What is the length of

the apothem of the octagon? Round your answer to the nearest tenth of a foot.
Mathematics
2 answers:
Alexeev081 [22]3 years ago
5 0
The apothem of a polygon is a line made from the center to the midpoint of any side of the polygon. The radius, on the other hand, is the line from the center to any corner of the polygon. If you illustrate the problem, you can form a right triangle where the hypotenuse is the radius, and the other two legs are the apothem and half of one side of the polygon. 

Perimeter of octagon = 8*length of each side = 64
length of each side = 8 ft

Therefore,
Apothem = √(10.5^2 - (8/2)^2) = 9.71 ft
uysha [10]3 years ago
4 0

Apothem is 9.7 feet

Area of regular octagon is 310.4 square ft

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A box has a square base with an area of 16 sq.in. Its is 14 inches tall. what is the volume?
babunello [35]

Answer:

224 inches cubed.

Step-by-step explanation:

Because the area of a square is 16 square inches, the side length is 4 inches. This is because a square's formula for area is the side squared.

Since the box is 14 inches tall, we multiply 4 inches by 4 inches by 14 inches. This means the answer is 224 inches cubed.

We also notice we don't need a measurement for the base sides, we only need to multiply the area by the height.

6 0
3 years ago
Which of the following is equal to the expression (8x)^-2/3 (27x)¯1/3
LiRa [457]

The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

<h3>How to evaluate the expression?</h3>

The expression is given as:

(8x)^-2/3 * (27x)^-1/3

Evaluate the exponent 8^-2/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3

Evaluate the exponent (27x)^-1/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3

Multiply 1/4 and 1/3

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3

Evaluate the exponent

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)

This gives

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)

So, we have

(8x)^-2/3 * (27x)^-1/3 = 1/12x

Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

Read more about equivalent expression at

brainly.com/question/2972832

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3 0
1 year ago
Jonas builds a snow fort. He tells his friends it is 0.8 meters tall inside, but he rounded the height to the nearest tenth. Whi
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Step-by-step explanation:

If you had to round to the nearest tenth, 0.89 would round to 0.9. 0.74 would round down to 0.7. 0.85 would also round up to 0.9, which leaves the last answer, 9.77 to be rounded to 0.8. Hope this helps

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What is true about equivalent fraction
lisabon 2012 [21]
Numerators will be equal after the multiplication.
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Find x and y and i just need the answer, no need to show work.
vichka [17]

Answer:

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