<h3>Given</h3>
- length, width, and height of a cuboid are x, x, and 2x, respectively
- the cuboid's surface area is 129.6 cm²
- dx/dt = 0.01 cm/s
<h3>Find</h3>
- dV/dt for the given conditions
<h3>Solution</h3>
The equation for surface area can be written
... A = 2(LW +H(L +W))
Substituting the given values gives an equation that we can solve for x
... 129.6 = 2(x·x +2x(x +x)) = 10x²
... x = √(129.6/10) = 3.6 . . . . . . . cm
The equation for volume can be written
... V = LWH
Substituting the given values gives an expression for volume in terms of x.
... V = x·x·2x = 2x³
Then the rate of change of volume is
... dV/dt = 6x²·dx/dt
... dV/dt = 6·(3.6 cm)²·(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
Answer:
The distance between the airplane and the airport is:
Step-by-step explanation:
We can use the Pythagoras theorem to find the distance from the airplane to the airport.
The equation is:
Where:
- <u>a represents the elevations of the airplane (15000 feet)</u>
- <u>b is the distance from the ground directly below the airplane to the airport (6 miles)</u>
- <u>c is the distance between the airplane and the airport.</u>
We need first to convert 15000 feet in miles.
Therefore, c will be:
I hope it helps you!
4 is your answer
Hope this helps :)
Answer: 5,400,000
Step-by-step explanation:
Since the number in the ten-thousandths place is a seven, you will round up. Disregard any numbers before the ten thousandths place, and round up.
5,400,000 is the final answer.
Answer:
So we divide 128 into 14 which is 9.14285714286 but that eo be impossible so next we round to the nearest number which is now 9 now we multiply 9 by 14 and that gives us 126
I believe this is the answer