Answer:
62°
Step-by-step explanation:
180-118=62
62+62=124
180-124=56
118-56=62
Answer:
D
Step-by-step explanation:
So we want to find<em> θ. </em>We are already given the hypotenuse and the side length opposite to <em>θ. </em>Therefore, we can use the trig function sine to find <em>θ. </em>
Recall that:

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

Solve for <em>θ. </em>Use a calculator:

The answer is D.
Answer:
Step-by-step explanation:
93+(75)
= 168
The person would have scored 39 out of 50. Hope this helps
Answer:
9 Quarters
8 Dimes
3 Nickels
Step-by-step explanation:
We let the number of quarters be q
number of dimes be d
and
number of nickels be n
Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:
0.25q + 0.10d + 0.05n = 3.20
Next,
3 times as many quarters as Nickels, we can write:
q = 3n
and
5 more dimes than nickel, we can write:
d = n + 5
Substituting these last 2 equations in the first and solving for n gives us:
0.25q + 0.10d + 0.05n = 3.20
0.25(3n) + 0.10(n+5) + 0.05n = 3.20
0.75n + 0.10n +0.5 + 0.05n = 3.20
0.9n = 2.70
n = 2.70/0.9 = 3
n = 3
We know q = 3n, so
q = 3(3) = 9
Also, we know d = n + 5, which means:
d = 3 + 5 = 8
Thus,
There are:
9 Quarters
8 Dimes
3 Nickels