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Ilya [14]
3 years ago
15

A rectangular octagon is shown in the ceiling of a cathedral. The radius is 10.5 feet and the perimeter is 64 feet. 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. feet Using your answer for the length of the apothem, what is the area of the regular octagon? Round your answer to the nearest tenth of a square foot. square feet
Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

Answer:

9.7 , 310.4

Step-by-step explanation:

dooodidooo

stellarik [79]3 years ago
3 0

Answer:

9.7 , 310.4

Step-by-step explanation:

length of each side = 64/8=8

using theorem Pythagoras

A²=10.5² – (8/2)²

A=9.7 ft

area of triangle

1/2×8×9.7=38.8

area of octagon

38.8×8=310.4

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There are 6 2/3 cup servings in a 4 cup container.
3 0
2 years ago
3(x - 5) – 3 = 5(x - 2) + 2x
Arlecino [84]

Answer:

x=−2

Step-by-step explanation:       Step 1: Simplify both sides of the equation.

3(x−5)−3=5(x−2)+2x

(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)

3x+−15+−3=5x+−10+2x

(3x)+(−15+−3)=(5x+2x)+(−10)(Combine Like Terms)

3x+−18=7x+−10

3x−18=7x−10

Step 2: Subtract 7x from both sides.

3x−18−7x=7x−10−7x

−4x−18=−10

Step 3: Add 18 to both sides.

−4x−18+18=−10+18

−4x=8

Step 4: Divide both sides by -4.

−4x

−4

=

8

−4

x=−2

6 0
3 years ago
1, 3x-2=5(2x+1)<br>Please answer this question ​
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

3x -2=5(2x+1)

3x-2=10x+5

10x-3x=-2-5

7x=-7

x=-1

6 0
2 years ago
Consider this equation: –3x – 5 2x = 6which is an equivalent equation after combining like terms?
Alla [95]
-3x-5+2x=6
2x-3x-5=6
-1x-5=6
-x-5=6
-x=11
x=11
an equivilent equaiton is x=11
7 0
3 years ago
Please help me with this homework
3241004551 [841]

Answer:

C.

Step-by-step explanation:

The pythagorean theorem shows a^2+b^2=c^2.

a=8, b=15, c= the unknown distance

8^2+15^2=c^2

7 0
2 years ago
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