Answer:
∠
°
Step-by-step explanation:
- The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.
- We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
- Pythagorean Theorem:
where 
, 
, and 
are the 3 different sides of a right triangle.
- Our hypotenuse is
. Now we can finish solving for ∠
.
∠°
Answer:
I think 4
Step-by-step explanation:
Red hat costs $32
black hat costs $8
32 (divided) by 8 is 4
Answer:
C. -31m⁴n - 8m²
Step-by-step explanation:
Given:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Required:
Determine an expression equivalent to it
Solution:
(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
Distribute the negative sign to open the parentheses
9mn - 19m⁴n - 8m² - 12m⁴n - 9mn
Combine like terms
9mn - 9mn - 19m⁴n - 12m⁴n - 8m²
-31m⁴n - 8m²
Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)
I am assuming that you mean
and
Now, let's look for common factors. The first one is
After we take that out, we are left with 14 and 22. We can take a 2 out of both of these, so the greatest common factors is
