If x is the distance the base of the ladder is from the wall, and y is the distance to top of the ladder is up the wall, then the Pythagorean theorem tells you
... x² + y² = 10²
Differentiating with respect to time, we have
... 2x·dx/dt + 2y·dy/dt = 0
... dy/dt = (-x/y)·dx/dt
We are given x = 6 ft and dx/dt = 3 ft/s. Using the first equation, we can find y as
... y = √(10² -6²) = 8
Then
... dy/dt =(-6/8)·(3 ft/s)
... dy/dt = -2.25 ft/s
The top of the ladder is sliding down the wall at -2.25 ft/s.
Let the initial money be x so by question,
3x/5 +1x/5+1200=x
or, 1200= x - 4x/5
or, 1200 = 1x/5
or, 6000= x
hence the initial money was 6000$
Hi There!
-----------------------------------------------------
Baseball Bats:
43 x 0.45 = $19.35 as the amount off.
43 - 19.35 = $23.65 with the discount.
23.65 x 2 = $47.3 for two bats.
-----------------------------------------------------
Glove:
28 x 0.25 = $7 as the amount off.
28 - 7 = $21 with the discount.
-----------------------------------------------------
Together:
21 + 47.3 = $68.3 as the total before taxes.
-----------------------------------------------------
With Taxes:
68.3 x 0.055 = $3.7565 as the tax amount.
68.3 - 3.7565 = $64.5435
-----------------------------------------------------
Answer:
Not Rounded: $64.5435
Rounded: $64.54
-----------------------------------------------------
Hope This Helps :)
the area of the trapezoid is 64
Answer:
z=x-5y-14
Step-by-step explanation: