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Ilya [14]
3 years ago
5

How do I find the area of the circular racetrack?

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

Answer:

8483 ft²

Step-by-step explanation:

Subtract the area of the smaller circle from the area of the greater circle

Greater Circle area:

πr² = π × 140²

= 61583.2 ft²

Smaller Circle area:

= π × 130²

= 53099.8 ft²

Area of track:

61583.2 - 53099.8 = 8483.4ft²

= 8483ft² (to the nearest ft²)

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<span>To solve this, use the point - slope form formula
</span>Point D (-4, 2) and Point E (-1, 5)
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y - 2 = [(5 - 2/-1 -(-4))](x + 4)
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To answer this, input the values of points D or E into the equation and make sure that they answer the equation in part A.
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3 years ago
206,371,39 expanded form
kupik [55]
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3 years ago
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In the diagram the length of segment TR can be represented by 5x-4.
masya89 [10]

Answer: The correct option is D, i.e., 15 units.

Explanation:

It is given that the  length of segment TR can be represented by 5x-4.

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5x-4=2x+5

3x=9

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The value of x is 3, so the length of side RV is,

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\angle TRS=\angle VRS=90^{\circ}

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By SAS rule of congruence triangle,

\triangle TRS\cong\triangle VRS

Therefore the side TS and VS are congruent sides.

From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.

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Hence, the length of side VS is 15 units and option D is correct.

4 0
3 years ago
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3 years ago
The profit P (in thousands of dollars) for an educational publisher can be modeled by P 52b31 5b21b where b is the number of wor
Anna007 [38]

Answer:

The lesser number of workbooks are 1,000

Step-by-step explanation:

The correct question is

The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?

we have

P=-b^3+5b^2+b  

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substitute in the equation and solve for b

Remember that the profit and the number of workbooks is in thousands

so

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Using a graphing tool

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x=-1

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therefore

The lesser number of workbooks are 1,000

<u><em>Verify</em></u>

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so

P=\$5,000 ----> is ok

7 0
3 years ago
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