Answer:
3, 9
Step-by-step explanation:
The only factors of 27 are 1, 3, 9, and 27, so we can look at the numbers and see which ones have a difference of 6. 3 and 9 have a difference of 6, so the numbers are 3 and 9. I hope I helped!
Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:

Where <em>w</em> is the width and <em>l</em> is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>
![\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bw%5Cell%5D)
By the Product Rule:

Since we know that dl/dt = 6 and that dw/dt = 5:

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Answer:
Part 1) Option A. h(2) = 86.00 means that after 2 seconds, the height of the ball is 86.00 ft
Step-by-step explanation:
we have

where
t ----> is the time in seconds after the ball is dropped
h(t) ----> he height in feet of a ball dropped from a 150 ft
Find h(2)
That means ----> Is the height of the ball 2 seconds after the ball is dropped
Substitute the value of t=2 sec in the equation

therefore
After 2 seconds, the height of the ball is 86.00 ft.
The exact value for the equation is true but I don't really think that's the question so anyways...
- 15.) The exact form for this equation is -13pi/3 and the decimal form -13.613...
- 16.) The exact form for this equation is 23pi/4 and the decimal form 18/064...
- 17.) The exact form is -7pi/2 as the decimal is -10.995...
- 18.) The exact is -29pi/6 and the decimal is -15.184...

so you cross multiply 36*7 which is 252÷100= 2.52. Then add 2.52 to 36 and your answer is 38.52