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lbvjy [14]
3 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]3 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]3 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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irina1246 [14]

Answer:

y = 15

Step-by-step explanation:

The triangles follow a scale factor. This scale factor can enlarge or make a triangle smaller, using this factor, like a ratio. We can do 22/10 to get this scale factor for the set, which is 2.2. Finally, divide 33 by 2.2 to get 15 for the missing side length y.

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2 years ago
The following equation represents the number of fish in a pond, F(x), after x number of weeks. F(x) = 500 (1.2)x. How many fish
Shalnov [3]

Answer:

1) d. 2400

2) d.4200

Step-by-step explanation:

As per given data:

F(x) represents number of fish

x represents number of weeks

Relation between F(x) and x is given as

F(x)= 500 (1.2)x

Now part 1:

How many fish are in the pond after 4 weeks=?

x=4

Putting in given equation  F(x)= 500 (1.2)x

F(x)= 500(1.2)(4)

     = 2400

Now part 2:

How many fish are in the pond after 7 weeks?

x=7

Putting in given equation  F(x)= 500 (1.2)x

F(x)= 500(1.2)(7)

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7 0
3 years ago
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olganol [36]

Answer:

32

Step-by-step explanation:

Area of a big right triangle = 1/2 * 4 * (2+2+6) = 1/2 * 4 *10 =20

Area of a left right triangle = 1/2* 2*2 = 2

Area of a right right triangle = 1/2 * 6*2 =6

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ANSWER

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EXPLANATION

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y = a \:  \sin(x)

Where 'a' is the amplitude.

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y = 2 \:  \sin(x)

For a transformed sine function, the general equation is:

y = a \:  \sin(bx + c)  + d

where a=2 is still the amplitude

y = 2 \:  \sin(3x + \pi)

This is also a sine function with an amplitude of 2.

Others include:

y = 2 \:  \sin(x + 1)

y = 2 \:  \sin(4x - \pi)

e.t.c

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4 years ago
Can someone help me on this
Kaylis [27]

Remember that the formula for simple interest is:

I = Prt

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Using information the problem gave us, we can say that the amount of interest earned after one year is:

I = (\$ 350)(0.06)(1) = \$ 21


After 1 year, we will have earned $21. Remember though that we also need to find the amount we will earn after 4 months. Since there are 12 months in a full year, we can say that 4 mohts represents a third of a year. Thus, let's multiply our interest by one-third.

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