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1 year ago

!PLEASE HELP!

Mathematics

1 answer:

charle [14.2K]1 year ago

8 0

$\bold{ANSWER:}$
C) 5.4

$\bold{SOLUTION:}$

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Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me

mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

The complete question is

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

$x+y=180^o$ ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

$x=2y$ ----> equation B

substitute equation B in equation A

$2y+y=180$

$y=60^o$

$x=120^o$

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

$P=6(6)=36\ units$

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2 years ago

Find the volume of this sphere. Use 3 for TT. V V [?]ft3 V = Tr3 16ft

Vedmedyk [2.9K]

Answer:

well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66

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2 years ago

What is the formula for simple interest?

Afina-wow [57]

Answer:

A = P (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

Step-by-step explanation: brainliest plz

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2 years ago

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13 units from (10,6)

svp [43]

The answer is ( 23,7)

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2 years ago

An office needs to order carpet for a waiting room measuring 30 ft. by 24ft. The carpet is sold in square yards. How many square

Dahasolnce [82]

First thing first is to know that there are 3 feel in one yard
To find the perimeter of the room do 30 times 24 which is 720 divided by 9 ( because 3 feet times 3 feet is nine which represents the square yard) to get to square yards is 80
The answer is 80 square yards

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2 years ago