Answer:
x = 23
Step-by-step explanation:
Use tan to find the missing side
tan 41 = 20/x SImplify
0.8693 = 20/x Multiply both sides by x
0.8693x = 20 Divide both sides by 0.8693
x = 23
It's a linear function, so you only need 2 points and then connect them together.
Easiest way: x = 0 ->y = 1 ->(0,1)
x = 1->y = 15 ->(1,15)
Answer:

Step-by-step explanation:
It looks like you want to expand the expression ...

Use the distributive property and rules of exponents.

_____
The relevant rules of exponents are ...
√a = a^(1/2)
1/a = a^-1
(a^b)(a^c) = a^(b+c)
Since this is a right triangle, we can just use Pythagorean Theorem to solve for the side SU:
Length of Hypotenuse^2 = Length of First Leg^2 + Length of Second Leg^2
SU^2 = ST^2 + TU^2
SU = sqrt(ST^2 + TU^2)
SU = sqrt(42^2 + 56^2)
SU = sqrt(4900)
SU = 70
Therefore, the answer is is 70 centimeters.