A = xy
A' = xy' +x'y
A' = (13 cm)*(5 cm/s) +(8 cm/s)*(11 cm)
.. = (65 +88) cm^2/s
.. = 153 cm^2/s . . . . . . . the rate at which rectangle area is changing
_____
Check:
.005 seconds before the time of interest, the area was
.. (13 cm -.005*8 cm) * (11 cm -.005*5 cm) = 12.96*10.975 = 142.236 cm^2
.005 seconds after the time of interest, the area is
.. 13.04* 11.025 = 143.766 cm^2
So the average rate of change over that 0.01 second interval is
.. (143.766 -142.236)/(.01) = 153 cm^2/s . . . . close enough
The angles in a triangle add up to 180. the extra degrees are 25 and -9, which add up to 16. 180-16=164. 164/4= 41.
p=41.
Answer:
Step-by-step explanation:
Let J = John's share ($)
P = Peter's share ($)
H = Henry's share ($)
1) H = P + 80
2) J/P = 6/3 = 2
3) P/H = 3/5
Substitute equation 1) into equation 3)
P/(P + 80) = 3/5 (multiply both sides by (P + 80)
P = (3/5)*(P + 80) (multiply both sides by 5)
5*P = 3*P + 240
2*P = 240
P = 240/2 = $120
Substitute P value into equation 2)
J/P = 2 or
J = 2*P = 2*$120 = $240
John received $240
