Answer:
150 cm/s
Step-by-step explanation:
We have that the area of a rectangle is as follows:
a = l * w
they ask us to change the increase in area with respect to time, therefore, if we derive with respect to t we are left with:
da / dt = w * (dl / d) t + l * (dw / dt)
From the statement we know that:
l = 20 cm
w = 15 cm
dl / dt = 6 cm / s
dw / dt = 3 cm / s
replacing each value we have:
da / dt = 15 * 6 + 20 * 3
da / dt = 150
Which means that 150 cm / s increases the area of the rectangle in relation to time
Ok so first, you put the sides into a ratio. The question says that triangle GKNM is congruent to triangle VRPT. From this, we know that side GK is congruent to VR. So, we write that as a ratio. Also, we know that KN is congruent to RP. We also write that as a ratio. Then, using equations, we solve for x. But, we aren't done yet; the expression for side KN is 3x-2 and, we already know that x is equal to 4.4
So, we do 3*4.4-2 which is 11.2. Therefore, side KN is equal to 11./2Then, the expression for side RP is x+4. We already know that x is equal to 4.4. So, we do 4.4+4 which is 8.4. Therefore, side RP is equal to 8.4.
Oh, and the scale factor is 4:3 or 1.33 because you do 8.4/6.3 ( you can also do 11.2/8.4)
hope this helps ;)
Synthetic division:
3 | 1 0 0 0 0
... | . 3 9 27 81
- - - - - - - - - - - - - - - -
... | 1 3 9 27 81
which translates to
Which statement is true about this data set? {79, 66, 82, 83, 84, 86, 85, 84, 84, 85, 88}
Bess [88]
66 is the outlier because it is less than all the other numbers while all the numbers are in the 70s and 80s
26 square inches.
If you have any further questions, feel free to ask