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aksik [14]
3 years ago
15

Your school is installing new turf on the football field. A coordinate plane has been superimposed on a diagram of the football

field where 1 unit = 20 feet. A) what is the length of the field. B) what is the perimeter of the field. C) Turf costs $2.69 per square foot. Your school has a $150,000 budget. Does the school have enough money to purchase new turf for the entire field? Please show the steps.

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

Step-by-step explanation:

1) length of the field = 18 unit= 18*20=360 ft

2) circumference = 2(l+w)

2*(18*20+8*20)=1040

3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2

Cost for the entire area= 57600*2.69= 170,000$

No it doesn't

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2 7/8 divided by 2 1/4
trasher [3.6K]

2 7/8 = 23/8

2 1/4 =  9/4

23/8 / 9/4 =

23/8 * 4/9 = 92/72 = 1 20/72 =  1 5/18

5 0
3 years ago
Write an equation that represents the following problem.
pogonyaev
35 + 0.05m = 50 + 0.01m <== ur equation
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5 0
3 years ago
Find the equation of the circle having radius 5 and which touches the line 3x+4y-16=0 at point (4,1)?
Sladkaya [172]

The only information missing is the circle's center; let it be the point (a, b). Then the equation of the circle is

(x - a)² + (y - b)² = 5²

We know the point (4, 1) lies on the circle, so we have the condition

(4 - a)² + (1 - b)² = 5²   ⇒   (a - 4)² + (b - 1)² = 25

The circle just touches the line, so the line is tangent to the circle. The slope of the line is -3/4, since

3x + 4y - 16 = 0   ⇒   y = 4 - 3/4 x

Any non-vertical tangent line to the circle at (a', b') has slope equal to dy/dx with x = a' and y = b'. Differentiating both sides of the circle equation with respect to x yields

2 (x - a) + 2 (y - b) dy/dx = 0   ⇒   dy/dx = -(x - a)/(y - b)

At the point (4, 1), the slope of the tangent is -3/4, so we get the condition

-(4 - a)/(1 - b) = -3/4   ⇒   4a - 3b = 13

Solve for b in terms of a and substitute into the other condition to solve for a :

4a - 3b = 13   ⇒   b = (4a - 13)/3

(a - 4)² + ((4a - 13)/3 - 1)² = 25

25/9 a² - 200/9 a + 400/9 = 25

25/9 a² - 200/9 a + 175/9 = 0

a² - 8a + 7 = 0

(a - 7) (a - 1) = 0

a = 7   or   a = 1

Solve for b :

b = (4a - 13)/3   ⇒   b = 5   or   b = -3

So there are two possible circles,

(x - 7)² + (y - 5)² = 5²

or

(x - 1)² + (y + 3)² = 5²

5 0
2 years ago
Which of the following values cannot be​ probabilities? 3/5​, 5/3​, 0​, 1​, 1.15​, StartRoot 2 , -0.57​, 0.09
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Answer:

\sqrt{2},-0.57

Step-by-step explanation:

Probability of any incidence can only be a rational number.

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\sqrt{2} being a irrational number cannot be a possibkle vlue for probability.

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7 0
3 years ago
Which reason is incorrect?
Tanzania [10]
The last one is incorrect. The correct answer is division. They divided 9 on both sides.
8 0
2 years ago
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