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°
For 1 multiply both sides by 3 which gives you 3y-y=12. Then combine like terms 2y=12. Lastly divide both sides by 2 and you get y=6. And for 3 first multiply both sides by 4 which gives you 6y-32=y+8. After that combine like terms 6y-y-32=8. Now add the equation together 5y=40 and then divide by 5 and get y=8
Answer:
g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
2 + 6g = 11 - 3g
Add 3g to both sides.
2 + 9g = 11
Subtract 2 from both sides
9g = 9
g = 1
Answer:
(98/100)*110 = $107.8
Step-by-step explanation:
Answer:
(y2-y1)/(x2-x1)
Step-by-step explanation:
Using two coordinates, you can just plug in the corresponding (x,y) coordinates and you will get the slope, which is the rate of change over an interval
