First find the LCD. That is 8.
1/2 = 4/8
7/8 + 4/8 = 11/8 or 1 3/8
Double angle (or half angle, depending how you look at it) identities:



So we have



Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know
and
, so it's also the case that
.
Also, the reason we have equality in the last step can be explained like so:

(not unlike the process used to complete the square)
Answer:
D.
Step-by-step explanation:
a line that is y= is always horizontal.
Answer:
5
Step-by-step explanation:
To evaluate (g ○ h)(9), evaluate h(9) , then use this value to evaluate g(x)
h(9) =
= 3, then
g(3) = 2(3) - 1 = 6 - 1 = 5
we have been given that in ΔFGH, the measure of ∠H=90°, GF = 53, HG = 28, and FH = 45. We are asked to find the ratio that represents the sine of ∠G.
First of all, we will draw a right triangle using our given information.
We know that sine relates opposite side of right triangle with hypotenuse.

We can see from the attachment that opposite side to angle G is FH and hypotenuse is GF.


Therefore, the ratio
represents the sine of ∠G.