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2 years ago

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Order of operations algebra

1 answer:

chubhunter [2.5K]2 years ago

4 0

Answer:

you can literally look these up and you get step by step answers

Step-by-step explanation:

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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:

<u><em>The complete question is</em></u>

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

so

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

we have that

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

so

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

substitute equation B in equation A

$2y+y=180$

$y=60^o$

so

$x=120^o$

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

so

$b=12/2=6\ units$

The perimeter of the hexagon is given by the formula

$P=6b$

substitute

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

3 0

3 years ago

Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches

Len [333]

Answer: a = 8

Step-by-step explanation:

Volume of a square based pyramid is given as

$\frac{a^{2}h }{3}$ .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V = $\frac{a^{2}h }{3}$

128 = $a^{2}h$ /3

384= $a^{2}$ X 6

Divide through by 6

384/6 = $a^{2}$

64 = $a^{2}$

Therefore :

a = $\sqrt{\frac{64}{1} }$

a = 8

6 0

3 years ago

Please answer 100 points and brainliest

Molodets [167]

Answer: you have to do in the first one 8,16,4,2,11,13,14

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Rule add 15, subtract 10 first term4

mr Goodwill [35]

I think that would be 9 I am not sure.

8 0

3 years ago

Read 2 more answers

Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103. Which number is the greatest,

zavuch27 [327]

I think the answer would be B that’s the only one I consider

6 0

3 years ago