Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360 
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2
. Divide 360 by 2 and you get 180.
Answer ran 2 3/4 miles in 1/3 of an hour
2 3/4 miles =11/4 miles in 1/3 of hour
11/4 miles divided by 1/3 hr
11/4 ÷ 1/3
11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr
Answer:
The value of x at this instant is 3.
Step-by-step explanation:
Let
, we get an additional equation by implicit differentiation:
(1)
From the first equation we find that:
(2)
By applying (2) in (1), we get the resulting expression:
(3)

If we know that
and
, then the first derivative of x in time is:

From (1) we determine the value of x at this instant:




The value of x at this instant is 3.
Answer:
96.48
52.472
Step-by-step explanation:
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