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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Jimmy and his friends want to sign up for a game rental service. They have information on game rental plans from four different companies. The friends plan to rent 15 games per month. Which plan is the BEST? Use substitution to determine the best price.

A-GameStop; pay $5 for each game ordered. (5g)
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Answer: A

Step-by-step explanation:

It’s the cheapest

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

Answers

Answer:

The mean is 3

Step-by-step explanation:

9+ 1+ 3+ 9+ 3= 15

15/5= 3

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Answer:

number 8 is $0

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Answer:

number 8 is $0

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On a map, Haven Rd and Pine Rd are parallel, and Mills Rd is a transversal. How can the
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Answers

Answer:

B: Corresponding angles are congruent, so x = 43

Answer:

B: Corresponding angles are congruent, so x = 43

Step-by-step explanation:

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:

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We now have this:

[(1 + cos x)(1 - cos x)]/(1 + cos x) = 1 - cos x

Do you see what happens on theft side?

On the left side, (1 + cos x) cancels out on the top and bottom.

We are now left with this:

1 - cos x = 1 - cos x

Done!!

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

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

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Destiny has a bag with 3 green, 4 red, and 5 blue marbles. Destiny will pick 2 marbles from the bag, one at a time without looking. She will not replace a marble before picking the next marble. What is the probability of Destiny picking a red marble, followed by a green marble?

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Answers

There are 4+3+5=12 marbles in the bag.
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So that means the probability of picking a red marble followed by a green marble is 7/12 (C)

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Answer:

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Step-by-step explanation:

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A factor tree is a diagram used to determine the prime factors of a natural number greater than one.

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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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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

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Answers

Answer:

Austing needs 160 boxes to complete the rack.

Step-by-step explanation:

Givens

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Use a formula to find the surface area of the cylinder. Use 3.14 for pi

Answers

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Step-by-step explanation:

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A=2πrh+2πr2

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Answers

Answer:

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Step-by-step explanation:

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

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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


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Answers

Answer:

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Step-by-step explanation:

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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

[tex]\Rightarrow \cos 53=\dfrac{b}{24}\\\\\Rightarrow b=24\cos 53=14.44\ ft[/tex]

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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Answer:

A

Step-by-step explanation:

A = 9, 7, 5, -2, -6, -8

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