Answer:
B
Step-by-step explanation:
Use SOHCAHTOA.
sinθ = 
Opposite side length= 12
Hypotenuse length = 37
Find the adjacent side length (b) using the Pythagorean theorem.

b = 35
tanθ =
= 12/35
Choice B is the correct answer.
The answers is 11 because it has y=mx+b
Answer:

Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The population proportion have the following distribution
And we can solve the problem using the z score on this case given by:

We are interested on this probability:

And we can use the z score formula, and we got this:


And we can find this probability like this:

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
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

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

The perimeter of the hexagon is given by the formula

substitute

Answer:
1/7
Step-by-step explanation:
The left over fraction is divided among the three children as follows
Given
Left over as 3/7
Number of children 3
Quantity each gets will be 3/7÷3
3/7÷3=3/7*1/3=3/21
By simplyfying the fractions, 3/21 when both the numerator and denominator are divided by 3 we obtain that 3/21=1/7
Therefore, each child geta 1/7