to change from degrees to radians
multiply by pi/180
136 * pi/180 = 136/180 * pi
now simplify
34/45 * pi
.755556 * pi pi=3.14159
2.373648
to the nearest hundredth
2.37 radians
2:16
2.5:20
3:24
4:32
5:40
1.5:12
Answer: m∠QPR = 40
<h2>
Step-by-step explanation:</h2>
Because PG is perpendicular to PS, it is safe to assume that angle QPS is 90 degrees.
(7x-9) + (4x +22) = 90
x = 7
Because we need to find the degrees of QPR, plug in the equation for that angle with the value of x we found.
7(7) - 9 = 40
m∠QPR = 40
Answer:
(-∞,∞)
Step-by-step explanation:
It is positive for all x
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
