Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
The answer is b, > because 30.17 is bigger than 30.018
Answer:
Step-by-step explanation:
To get the new price of the car multiply the original price by the percent increase in decimal form +1. 11% in decimal form is 0.11 = 11/100. Add one to this and you get 1.11 = 1 + 0.11. So now multiply $49,800 * 1.11 = $55,278. If the problem had said they decreased the price by 11% you would use 1 - 0.11 = 0.89 because 89% is 11% less than 100%.
hope that helps my man