Answer:
Step-by-step explanation:
We draw the right triangle as shown in the image attached.
Δ QRS
Where R is the right angle
Given
QR = 8
QS = 17
Now, using Pythagorean Theorem, we can find RS:
Now, we know the ratio Sine as:
Where 
is the angle (here angle Q)
Opposite side is RS (which is 15)
Hypotenuse is given as QS (which is 17)
So,
This is the value of SinQ.
We don't want the angle, so we'll stop here.
Answer:
18
Step-by-step explanation:
There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.
The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.
Here is how you do it....
You will subtract 500 minus 225 to get the number of tails. The number of tails is 275.
Now, you know your ratio is 225:500. All you need to do is simplify it.
225 divided by 25 is 9 and 500 divided by 25 is 20.
Now, the ratio that you have is 9:20.
You have to make a system of equations: lets make a equal the amount marry makes per student and b be her base amount.
90=15a+b (you have to subtract the top equation by the bottom equation)
62=8a+b (90-62=28, 15a-8a=7a, and b-b=0)
Since b canceled out, you are left with 7a=28 which means a=4. you can than plug a into the equation 62=8a+b to find that b=30.
since Lisa makes half of the base amount marry, her base amount is 15. However, she also make twice the amount per kid so she makes 8 per kid.
using the found values found you can make the equations (m=the amount Marry makes, l=the amount Lisa makes, and c is the number of children)
m=4c+30
l=8c+15
set c=20 and you should get m=110 and l=175. Based off of that information, we can say that Lisa makes more money instructing a class of 20 students.
I hope this helps.
