Answer:
A. 
Step-by-step explanation:
Hi there!
We are given right triangle PQR, with PR=5, RQ=12, and PQ=13
We want to find the value of sin(Q)
Let's first recall that sine is 
In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse
So that means that sin(Q) would be 
Substituting the values of PR and PQ gives sin(Q) as
, which is A
Hope this helps!
Answer:
x = 5.2
Step-by-step explanation:
x/(13-x) = 2/3
3x = 2(13 - x)
3x = 26 - 2x
3x + 2x = 26
5x = 26
x = 26/5
x = 5.2
Answer:
27 of the pets are dogs.
Step-by-step explanation:
Real easy way to do this, treat 45 (the total) as 100. So, do 45/100 then multiply the result of that by 60, and you end up with 27.
45/100=0.45
0.45*60=27
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Remember that Interest is equal to


Answer:
the answer is 4 (option C)
Step-by-step explanation:
Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.
therefore, the equation forms:
13x + 3 = 55
13x = 55 - 3
13x = 52
x = 52/13
x = 4