Wes measures the floor area of rectangular living room to replace the carpet with tiles. The length of the room is 2.6 feet grea
1 answer:
Answer:
Wes need 121.52 square feet of tile.
Step-by-step explanation:
Given:
Wes measures the floor area of rectangular living room to replace the carpet with tiles
The length of the room is 2.6 feet greater than the width.
The width of the room is 9.8 feet.
Now, to find the square feet of tiles Will Wes need.
Width = 9.8 feet.
Length = 2.6 feet + 9.8 feet = 12.4 feet.
So, to get the square feet of tile we get the area of the room:
Therefore, Wes need 121.52 square feet of tile.
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a. Use the mean value theorem. 16 falls between 12 and 20, so
(Don't forget your units - 5 m/min^2)
b. gives the Johanna's velocity at time
. The magnitude of her velocity, or speed, is
. Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as
If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of is determined by the value of
at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by , so his acceleration is given by
. We have
and at his acceleration is
m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min