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larisa [96]
2 years ago
12

What is

Mathematics
1 answer:
arsen [322]2 years ago
8 0

9514 1404 393

Answer:

  B.  17°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides. Here, the relevant relation is ...

  Sin = Opposite/Hypotenuse

  sin(N) = PQ/PN

  sin(N) = 4/14

  N = arcsin(4/14) ≈ 16.6° . . . . use the inverse function to find the angle

  N ≈ 17°

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50.24=4squared times pie

Step-by-step explanation:

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2 years ago
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A football team charges $30 per ticket and averages 20,000 people per game. Each person spend an average of $8 on concessions.Fo
olya-2409 [2.1K]

The ticket price that would maximize the total revenue would be $ 23.

Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:

  • 20,000 x 30 + 20,000 x 8 = 760,000
  • 24,000 x 25 + 24,000 x 8 = 792,000
  • 28,000 x 20 + 28,000 x 8 = 784,000
  • 26,000 x 22.5 + 26,000 x 8 = 793,000
  • 27,200 x 21 + 27,200 x 8 = 788,000
  • 26,400 x 22 + 26,400 x 8 = 792,000
  • 25,600 x 23 + 25,600 x 8 = 793,600
  • 24,800 x 24 + 24,600 x 8 = 792,000

Therefore, the ticket price that would maximize the total revenue would be $ 23.

Learn more in brainly.com/question/7271015

4 0
2 years ago
Provide the reasons for the following proof. <br> I think the answer is c
pav-90 [236]

Answer:

d. HL CBCTC

Step-by-step explanation:

The hypotenuse and one leg are congruent so the reason for congruency is HL.

4 0
3 years ago
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of
cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

<em><u>Explanation</u></em>

Suppose,  x gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be:  (35-x) gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the <u>distance traveled by the first car</u> in x gallons of gas =35x miles and the <u>distance traveled by the second car</u> in (35-x) gallons of gas =15(35-x) miles.

Given that, the two cars went a <u>combined total of 925 miles</u>. So, the equation will be.....

35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0
3 years ago
Trigonometry<br> Use trigonometry functions to find the area <br> In ΔABC, AB=21, AC=16, and m
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Answer:

154.6 units²

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½ × 21 × 16 × sin(67)

154.644815388

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2 years ago
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