Answer:
The angle
measures approximately 
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

Then, for our case we get a starting equation that reads:

and for which we need to solve for
. Then we use the arctangent function to get the final answer:

Answer:
1/3
Step-by-step explanation:
slope of line f (m) = -3
Slope of perpendicular line to f m1 = -1/m = -1/-3 = 1/3
Answer:
5(2 + y)
Step-by-step explanation:
The sum of 2 and y is 2 + y and 5 times this sum is
5(2 + y)
Answer:
To meet her goal, Noelle must run more than
the rest of the month
Step-by-step explanation:
Let
h-------> the number of hours Noelle runs for the rest of the month
we know that
The inequality that represent the situation is

Solve for h
Subtract 10 both sides


Divide by 5 both sides

Answer:
72°
Step-by-step explanation:
This is called an isosceles triangle. This means that the 2 angles related to the equal sides, are also equal. Hence, the answer is 72°