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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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Help me out the meaning
WITCHER [35]

slope intercept form:

y = mx + b

m = slope

b = y-intercept

the y-intercept is the place on the y-axis (vertical) where the line crosses. In this problem, the line crosses at (0,4), meaning the y-intercept is 4.

y = mx + 4

the slope is technically the rate of change (rise over run) bewteen points.

If you take the distance from point (-1,3) and (0,4) you get a slope of 1/1, or just 1

y = 1x +4

this could also be:

y = x + 4

(because the 1 is invisible but still there)

5 0
3 years ago
Adrian jogs 3/4 mile each morning how many days will take to jog 3 miles
lbvjy [14]
----------------------------------------------------------------
Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.

----------------------------------------------------------------
Find how long he needs to run 1 mile
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3/4 miles = 1 morning 

[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4

1 miles = 4/3 morning

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Find how long he needs to take to run 3 miles
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1 miles = 4/3 morning

[ multiply by 3 through ]
3 miles = 4/3 x 3 
3 miles = 4 mornings 

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Answer : 4 mornings
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6 0
3 years ago
10 points need help asap image to help
Aleksandr-060686 [28]
Its A because 25 is taken out of m=bday money m-$25
3 0
3 years ago
HELLO CAN ANYONE ANSWER THIS PLEASE I WILL MARK YOU THE BRAINLIEST !!!
Arte-miy333 [17]
25 degrees is the answer. CBE is supplementary to ABC. That means those two angles add up to 180 degrees.
5 0
2 years ago
Read 2 more answers
Direct Variation.<br>¯\_(ツ)_/¯
Alekssandra [29.7K]

Answer:

y = 1/6

Step-by-step explanation:

direct variation

y =kx

substitute in what we know to find k

1/2 = k*3

solve for k

divide by 3

1/2 /3 = k

1/6 = k

substitute k into the direct variation equation

y = 1/6 x

let x = 1

y = 1/6 *1

y = 1/6

5 0
3 years ago
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