Answer:
Step-by-step explanation:
This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:

Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:

Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!
Answer:
14
Step-by-step explanation:
(a+b)^2
(a+b)(a+b)
FOIL
a^2 + ab+ab + b^2
Combine like terms
a^2 +2ab + b^2
Rearranging
a^2+b^2 +2ab
We know a^2+b^2 = 4 and ab= 5
4 + 2(5)
4+10
14
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
f(n) = f(1) 
where f(1) is the first term and r the common ratio
Here f(1) = 64 and r =
=
=
, then
f(n) = 64
→ A
Answer:
(3, 0)
Step-by-step explanation:
Given the inequality y > -2x + 3 and y ≤ x - 2
The graph of the inequalities are plotted using the geogebra graphing online calculator.
The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.
All the ordered pair points given in the question are also labelled in the graph.
From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.
Answer:
The product of x and y would be (8)(-1) = -8. by adding the two equations you get 2x = 16 so x = 8. then y = 7 - x = -1. Therefore xy = -8.