Answer:
QR = 65.4 m
Step-by-step explanation:
a. Apply Law of Cosines to find QR:
p² = q² + r² - 2qr × Cos P
p = QR = ?
q = PR = 150 m
r = PQ = 120 m
P = 25°
Plug in the values
p² = 150² + 120² - (2)(150)(120) × Cos(25°)
p² = 22,500 + 14,400 - 36,000 × 0.9063
p² = 36,900 - 32,626.8
p² = 4,273.2
p = √4,273.2
p ≈ 65.4 m (nearest tenth)
QR = 65.4 m
Store A :
0.90(45) = 40.50......40.50 + .06(40.50) = 40.50 + 2.43 = 42.93
store B :
46 - 10 = 36......36 * .06(36) = 36 + 2.16 = 38.16
she would have to purchase the rug from store B...because she doesn't have enough money to purchase it from store A. She would have (40 - 38.16) = $ 1.84 in change.
I find this question to be a little misleading....because on a rebate, u dont get the discount right away....u first pay full price, and then later u get the discount mailed back to you. So actually, she wouldn't have enough money at either store.
Answer:
Correct choice is 2. 
Step-by-step explanation:
We have been given a graph of the quadratic function. Now we need to use that graph to find the equation of the graph in vertex form. By the way given choices written in intercept form so to be accurate we are going to find the equation in intercept form.
from graph we see that x-intercepts are at 5 and -2.
we know that if x=a is x-intercept then (x-a) must be factor.
So (x+2)(x-5) is the factor.
when leading coefficient is positive then graph opens upward.
so that means leading coefficient is 0.4
Hence correct choice is 2. 
Answer:
If 30 unicorns out of 300 walk away then it will be 300-30=270 unicorns left.
If 50 dragons fly away out of 200 then it will be 200-50=150.
Therefore there are 270 unicorns and 150 dragons left.
I hope this helps you...Thank you...