Answer:
D.) 38.6 m
Step-by-step explanation:
Use the cosine ratio:

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

Now isolate the variable. Multiply both sides by x:

The x's on the right side cancel each other out. Simplify:

Now divide both sides by cos75°:

The cos75° on the left side cancels each other. Simplify:

Insert this value into a calculator to simplify the value of x:

The hypotenuse is 38.6 m.
:Done
Answer:
6 yards = 18 feet
16.49/18=$0.92 per fleece
15.40/16=$0.96 per fleece
Crafter's warehouse is better the price is less per feet of fleece
Step-by-step explanation:
Answer: j || k
Step-by-step explanation:
only j and k are explicitly shown to be 90 degrees, so they must be parallel since they have the same angle when intersected by line <em>l.</em>
Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle
:

12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle
:

A acute angle is always less than 90 degrees. So the answer is A.