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zhannawk [14.2K]
3 years ago
10

Thomas is training for a race by running on a circular path. He knows that it is 0.75 mile

Mathematics
1 answer:
kifflom [539]3 years ago
4 0
The tree to the edge of the path acts as a radius. use the formula to find a circles perimeter to find the length of the path, which is 2r(pi). 2r=1.5, so multiple that by pi. if pi is simplified to 3.14, the circumference of the circle/length of the path would be 4.71 miles.
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Farmer bob's square plot ofland is slowly eroding away. Worried about the future of his farm. Farmer Bob measures the rate of er
kow [346]

Answer:

Option A.

Step-by-step explanation:

Area of a square is

A=x^2               .... (1)

where, x is side length.

The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

\dfrac{dx}{dt}=2

It is given that bob currently owns 250,000 square feet of land.

Fist find the length of each side.

A=250000

x^2=250000

Taking square root on both sides.

x=500

Differentiate with respect to t.

\dfrac{dA}{dt}=2x\dfrac{dx}{dt}

Substitute x=500 and \frac{dx}{dt}=2 in the above equation.

\dfrac{dA}{dt}=2(500)(2)

\dfrac{dA}{dt}=2000

Farmer bob is losing 2,000 square feet of land per year.

Therefore, the correct option is A.

7 0
3 years ago
What is 18 minus 4 8/9
Step2247 [10]

The answer is 13.1111111111. Hope this helps!

7 0
3 years ago
Read 2 more answers
n social studies class, Cole is making a scale drawing of a flag. The flag measures 24 inches high by 36 inches wide, having thr
Ray Of Light [21]
The complete question in the attached figures

we know that

1 ft---------------> 0.083333 in

so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft

</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution

drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution

drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution

drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution

the answer is 
The correct model of the flag  is the drawing D

8 0
3 years ago
How are the points (8,7) and (-8,7) related?
den301095 [7]
The point is reflected over the y-axis
They both have the same y value but the x is negative in one
6 0
3 years ago
david has $17,000 to invest.he invests $12,000 in a mutual fund that pays 12% simple interest.if he wants to make at least $2200
valentina_108 [34]
Think the awnser is$11040
6 0
4 years ago
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