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34kurt
3 years ago
7

I need help with these, can someone help?

Mathematics
1 answer:
Arada [10]3 years ago
8 0
2*3.14*25+2*3.14*5=188.5 (rounded answer) I substituted 3.14 for pi while typing because there's not a pi key, but use the pi button on your calculator while doing the problem
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This question has three parts. Answer the parts in order.
nalin [4]

Answer:

The area of the smallest section is A_{1}=100yd^{2}

The area of the largest section is A_{2}=625yd^{2}

The area of the remaining section is A_{3}=250yd^{2}

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

A_{1}=10yd*10yd

A_{1}=100yd^{2}

- Area of the second section:

A_{2}=x^{2} (Eq.1)

- Area of the third section:

A_{3}=width*length

A_{3}=10yd*x (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

A_{1}+A_{2}+A_{3}=975yd^{2}

Replacing values:

100+x^{2}+10x=975

Solving for x:

x^{2}+10x-875=0

x=\frac{-10+\sqrt{100+(4*875)}}{2}

x=\frac{-10+\sqrt{3600}}{2}

x=\frac{-10+60}{2}

x=25

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

A_{2}=25^{2}

A_{2}=625yd^{2}

- From Eq.2:

A_{3}=10*25

A_{3}=250yd^{2}

3 0
3 years ago
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Westkost [7]

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

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3 years ago
If a diameter is 12.5 cm, what is the radius?
Jlenok [28]

Answer:

6.25

Step-by-step explanation:

8 0
2 years ago
Dillon earned $170 working 20 hours at the carwash what was his hourly rate of pay?​
MakcuM [25]

To find this answer, we must divide the amount Dillion earned, by the time he put into his work.

170 / 20 = 8.5

Therefor, we now know that Dillion makes $8.5 an hour.

3 0
2 years ago
Eliminate the parameter to complete the statements describing the equations
Talja [164]

Answer:

A

ellipse

Step-by-step explanation:

4 0
2 years ago
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