This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3

Answers

Answer 1

Answer:

Step-by-step explanation:

1. 1923.25

2.about 3846.5 yards

3.219.91

4.639.82

Answer 2

Answer: See below

Step-by-step explanation:

1) 1/2 x 3.14 x 35^2

1/2 x 3.14 x 1225

1/2 x 3846.5

A = 1923.25 yd^2

2) (3.14)r^2

(3.14) (35)^2

3846.50 yd^2

3) P = d + (3.14)r^2

P = 70 + (3.14) (35)

P = 70 + 109.90

P = 179.90 yd

4) P = 2( l + w)

P = 2 (70 + 100)

P = 2 (170)

P = 340

Perimeter of the square minus the perimeter of the circle.

340 - 179.90 = 160.10 yd


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On a map, Haven Rd and Pine Rd are parallel, and Mills Rd is a transversal. How can the
value of x be determined?

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Answer:

B: Corresponding angles are congruent, so x = 43

Answer:

B: Corresponding angles are congruent, so x = 43

Step-by-step explanation:

Find the mean of 9, 1, 3, 9, 3 graphically

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Answer:

The mean is 3

Step-by-step explanation:

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The radius of a cylindrical water tank is 6.5 ft, and its height is 12 ft. What is the volume of the tank?​

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Answer:

.............. just for filling 20 characters

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Answer:

number 8 is $0

number 9 is D

Answer:

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number 9 is D

The total weight of the shape blocks on both sides of Michael's pan balance equals 30 grams. Circles weigh 5 grams, squares weigh 10 grams, and triangles weigh 3 grams. The right side has a circle and a square. How many triangles are on the left side?

Answers

Answer:

There would be 5 triangles on the other side

Step-by-step explanation:

If the right side has 1 circle and 1 square, that would mean that there is 5g+10g=15g weight on the right side

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Hope this helps!

Araine borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years? What is the total amount she has to pay back?

Answers

Answer:

Interest Charged = $80

Total payback = $480

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present Value (PV) = $400

Time period (n) = 4 years

Interest rate (r) = 5%

So, we can calculate the future value(FV), by using following formula,

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FV = $400 ( 1 + 4 × 0.05)

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=$80

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1. (-3/4)3 = -27/64

Answers

The correct answer would be -9/4

The farmer is not correct. She sold _% of the onions and _ % of the turnips by noon on Saturday. If she had sold 4 more pounds of onions she will have sold _% of the onions. This percentage of onions sold ___ equal to the percentage of turnips sold. *: 20 25 :: 28 :: 32 :: 35 .: 40 :: 50 :: 56 :: 80 :: is .! is not​

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Answer:

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Step-by-step explanation:

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Answers

Answer:

i think is b

Step-by-step explanation:

Answer:

C: 2

Step-by-step explanation:

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The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)

Answers

Answer:

Sine angle A = 1,050 / 2,800

Sine angle A = .375

arc sine (.375) = Angle A

Angle A = 22.024 Degrees

(THIS REPLACES THE PREVIOUS ANSWER.)

Step-by-step explanation:

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Answer:

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Answers

Answer:14.44 ft

Step-by-step explanation:

Given

Length  of wire [tex]l=24\ ft[/tex]

Angle of elevation [tex]53^{\circ}[/tex]

from the figure

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The answer is,  [tex]14.44 ft[/tex]

Definition of angle of evevation:

The angle between the horizontal and a line of sight from the observer to a place of interest that is "upwards."

An Angle of Depression occurs when the angle moves "downwards."

Given,

Wire's length [tex]l=24ft[/tex]

The elevation angle [tex]53^{0}[/tex]

[tex]cos 53= \frac{b}{24} \\b=24 cos53\\=14.44ft[/tex]

Learn more about angle of elevation here, https://brainly.com/question/88158

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if possible, verify sin^2(x)/1 + cos(x) = 1 - cos(x) by rewriting the left hand side of the equation.

I really really don't understand identities, and I'm not getting replies from my teacher. Thank you for any help I do get!!​

Answers

sin^2(x)/1 + cos(x) = 1 - cos(x)

We know that sin^2 x = 1 - cos^2 x. It is one of our trig identities.

We now have this:

(1 - cos^2 x)/(1 + cos x) = 1 - cos x

Take note:

1 - cos^2 x is a perfect square difference in terms of cosine.

So, (1 - cos^2 x) = (1 + cos x)(1 - cos x).

We now have this:

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One endpoint of a line segment has coordinates represented by (x + 2, 3y). The midpoint of the line segment is (6, -3). How are the coordinates of the other endpoint expressed in terms of x and y? O (10 – r, y) O (10 - 1,-6-y) (12 - 2,6 - 3y) (14 – 1,3 - y) 1 2 3 4 5 Next​

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Answers

Answer:

Austing needs 160 boxes to complete the rack.

Step-by-step explanation:

Givens

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2 meters are already used.

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Step-by-step explanation:

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answer in the file

Step-by-step explanation:

Solve 4(b−3)=64(b−3)=6

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9514 1404 393

Answer:

 BC ≈ 17.0 (neither Crow nor Toad is correct)

Step-by-step explanation:

The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.

The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.

The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.

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Answers

Answer:

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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

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Answers

Answer: A

Step-by-step explanation:

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Answers

Answer:

The answer is D

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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A

Step-by-step explanation:

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