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lbvjy [14]
2 years ago
7

A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the po

nd has a radius of 200 ft and the radius of the whole space is 250 ft? A. 65,523 ft2 B. 57,234 ft2 C. 86,270 ft2 D. 70,686 ft2
image: https://my.pennfoster.com/exams/images/986160RR_Q34.png
Mathematics
2 answers:
kiruha [24]2 years ago
4 0
I think the correct answer is 70,650 ft², but I would make sure with someone else just in case. 

Hope this helps!

kap26 [50]2 years ago
3 0

Answer:

70686 sq.ft.

Step-by-step explanation:

Given : Radius of the whole space is 250 ft.

            Radius of pond is 200 ft.

To Find: the square feet of gravel needed

Solution:

Area of whole space = \pi r^2

                                  = 3.14(250)^2

                                  = 196250

Area of Pond = \pi r^2

                                  = 3.14(200)^2

                                  = 125600

So, the square feet of gravel needed =196250-125600

                                                              =70650

Hence 70650 sq.ft. of gravel is needed.

So, Option D is approximately equal to the obtained answer

So, Option D is true.

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6 0
2 years ago
A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.
Genrish500 [490]

Answer:

\frac{1}{10}

Step-by-step explanation:

Let t represent the cost of the torch and b represent the cost of the battery.

The torch and a battery cost £2.50 altogether.

\Rightarrow t+b=2.50

The torch costs £2.00 more than the battery.

\Rightarrow t=b+2.00

We substitute the second equation into the first equation to get;

\Rightarrow b+2.00+b=2.50

\Rightarrow 2b=2.50-2.00

£2.50

\Rightarrow 2b=0.50

\Rightarrow b=0.25

The price of the battery is £0.25

We express this as a fraction of the total cost which is £2.50 to get;

\frac{0.25}{2.5}=\frac{1}{10}

8 0
2 years ago
The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millim
rjkz [21]

Answer:

Step-by-step explanation:

Given is a paired data which consist of temperatures (X in mm) and growth

We have to find the linear correlation i.e. the measure of association between these two variables.

x y xy x^2 y^2

     

62 36 2232 3844 1296

76 39 2964 5776 1521

50 50 2500 2500 2500

51 13 663 2601 169

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46 33 1518 2116 1089

51 17 867 2601 289

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79 16 1264 6241 256

     

Mean 58.88888889 27 1623.888889 3628.444444 916.1111111

cov 33.88888889    

std dev x 13.43916333 14.50861813    

sx *sy      

r 0.195529176    

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2 years ago
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6 0
2 years ago
The cylindrical water tank on a semitrailer has a length of 20 feet. The volume of the tank is equal to the product of pi, the s
Bogdan [553]

Answer:

V = 20πr²

Step-by-step explanation:

In this question, volume of the cylindrical tank has been defined as,

Volume V of the tank = Product of π, the square of the radius of the tank 'r' and the length of the tank 'h'.

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V = πr²h

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Then the volume of the trailer will be,

V = πr²(20)

V = 20πr²

7 0
2 years ago
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