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3 years ago

Find the length of BC in the diagram below, given that AC = 90, CD-45, and

Mathematics

1 answer:

Masteriza [31]3 years ago

7 0

Answer: Do you have a picture

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

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

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

3 0

3 years ago

An item on sale costs 80% of the original price. The original price was $22.

sergejj [24]

Answer:

17.6

Step-by-step explanation:

22 x .80 =17.6

17.6 is 80% of 22 so that would be your answer

8 0

3 years ago

: Ruben put an empty cup underneath a leaking faucet. After 1 1 2 112 hours, Ruben had collected 1 4 14 cup of water. What is th

slamgirl [31]

Answer:

The rate is $\frac{1}{6}$ cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours equivalent 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

it takes $\frac{3}{2} h$ for $\frac{1}{4}$ cup

it will take 1 h for how many cups?

$= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }= \frac{2}{4 \times 3}= \frac{2}{12}= \frac{1}{6} cups$

Hence, the rate is $\frac{1}{6}$ cups per hour

6 0

3 years ago

What is the derivative of te^-t/2

salantis [7]

Y = t*e^(-t/2)

y' = t' [e^(-t/2)] + t [e^(-t/2)]' = e^(-t/2) + t[e^(-t/2)][-1/2]=

y' = [e^(-t/2)] [1 - t/2] = (1/2)[e^(-t/2)] [2 - t] = - (1/2) [e^-t/2)] [t -2]

5 0

3 years ago

Read 2 more answers

What is (6,2) rotated at 270 .

erma4kov [3.2K]

Answer:

Step-by-step explanation:

8 0

2 years ago