The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.

The Track Is 9.76 M Wide All The Way Around. What Is The Distance Around The Outside Of The Track? Explain

Answers

Answer 1

Answer:

The distance around the outside of the track is 4183.58m².

Step-by-step explanation:

The area of running track that goes around the field is 9.76m

To proof :

Formula -

(Area of rectangle = length × breadth)

(Area of running track = outside area - inside area)

First case (outside),

length = 73 +2× 9.76

= 92.52m

Breadth = 84.39 m

radius of outside semi circle,

= 46.26m

outside area = area of rectangle + 2 × area of the semi-circle

= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26

= 7807.76+6719.56

Second case,

radius of the semi-circle,

=36.5m

inside area = area of rectangle + 2x area of the semi-circle

=73x 84.39+ 3.14x 36.5×36.5

= 6160.47 +4183.27

= 10343.74m²

Now,

Area of running track = 14527.32 m²- 10343.74m²

= 4183.58m²

The distance around the outside of track is 4183.58m².


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Answer:

35 pages per minute is the unit rate

Step-by-step explanation:

Divide 175 by 5 to find the unit rate

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Step-by-step explanation:

In Exercise 3, one equation relating the times Eric spends running and walking to reach the goal of covering 1600 meters is 200x + 80y=1600. Suppose Eric runs and walks for a total of 12 minutes to reach his goal.

Answers

Answer + Step-by-step explanation:

let x be the time that Eric spends running

    y be the time that Eric spends walking

a) the statement “Eric runs and walks for a total of 12 minutes to reach his goal” is equivalent to the equation: x + y = 12

b) the coordinates of the intersection point are (5.333...  ,  6.666...)

Interpretation:

the time that Eric spends running is 5.333... minutes  

the time that Eric spends walking  is 6.666... minutes

Answer:

Given equation:

[tex]200x+80y=1600[/tex]

where:

x = time Eric runs (in mins)y = time Eric walks (in mins)

Part (a)

If Eric runs and walks for a total of 12 minutes, then:

[tex]x+y=12[/tex]

Part (b)

To graph:

Rewrite both equations to make y the subjectFind the x-interceptFind the y-interceptConnect the two points with a straight line

[tex]200x+80y=1600 \implies y=20-\dfrac{5}{2}x[/tex]

[tex]\textsf{x-intercept}: \quad 20-\dfrac{5}{2}x=0 \implies x=8 \implies (8,0)[/tex]

[tex]\textsf{y-intercept}: \quad 20-\dfrac{5}{2}(0)=20 \implies (0,20)[/tex]

[tex]x+y=12 \implies y=12-x[/tex]

[tex]\textsf{x-intercept}: \quad 12-x=0 \implies x=12 \implies (12,0)[/tex]

[tex]\textsf{y-intercept}: \quad 12-0=12 \implies (0,12)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}20-\dfrac{5}{2}x &=12-x\\20-12 &=\dfrac{5}{2}x-x\\8&=\dfrac{3}{2}x\\16 &=3x\\x &=\dfrac{16}{3}\end{aligned}[/tex]

[tex]y=12-\dfrac{16}{3}=\dfrac{20}{3}[/tex]

[tex]\implies \left(\dfrac{16}{3},\dfrac{20}{3}\right)[/tex]

The point of intersection tells us that Eric runs for 16/3 mins and walks for 20/3 minutes.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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=========================================================

Explanation:

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ol-
اد
Point Dis: Point E is
4.
D
E
Point Fis:
Point
5.
UL
G
0
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Answer:

I can't understand

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Answers

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Answer:

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Trust Fam

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Answers

Answer:
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Step-by-step explanation:
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[tex] = {6x}^{3} - {3x}^{2} + 7x - 4[/tex]

[tex] = 6 \times 125 - 3 \times 25 + 7 \times 5 - 4[/tex]

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[tex] = 750 + 35 - 75 - 4 [/tex]

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Answers

Answer:

Perimeter of the rectangle is 28 yards

Step-by-step explanation:

Given:

Length of rectangle = 8 yardsBreadth of Rectangle = 6 yards

To Find:

Perimeter of the rectangle

Solution:

We know that,

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Substituting the required values,

Perimeter = 2(8 + 6)

Perimeter = 2(14)

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Answers

Answer:

4 hours

Step-by-step explanation:

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C. 4:18
D. 8:36

Answers

Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112

How to calculate the surface area of a prism?

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(lw+wh+lh)

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For the Red prism

Ar = 2(162 +324 + 648)
Ar = 2268 square units

For the blue prism

Ab = 2(8 + 16 + 32)
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Ratio = 2268 : 112

Hence the ratio of their surface area is 2268 : 112

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Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.

How to calculate the surface area of a prism?

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(LW+WH+LH)

L is the lengthW is the widthH is the height

For the Red prism

Ar = 2(648 + 162 + 324)Ar = 1,782 square units

For the blue prism

Ab = 2(32 + 8 + 16)Ab = 88 square units

Take the ratio of the surface area

Ratio = 4:81

Hence the ratio of their surface area is 4:81

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