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
You would need too do 5*5=25 if you did 5*7=35 that would be wrong
Answer:
If he got them all today the next closest would be 40 days from now. 5*8=40 so 40 is the next closest these two would arrive at the same time, from here we know that 4 and 10 are factors of 40 so he will also get model railroads on this day.
Step-by-step explanation:
Answer:
C= 93⁰, B= 64⁰, D= 23⁰
Step-by-step explanation:
180= (4x + 1) + (3x - 5) + x⁰
180= 4x+1 +3x-5 +x
180= 8x - 4
184= 8x
184/8= x
23=x
therefore
C= (4(23) +1)
C= 93
B= (3(23)-5)
B= 64
D= 23
93⁰+64⁰+23⁰=180⁰
The answers are the following
1. B
2. A
3. B
4. A