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telo118 [61]
2 years ago
15

4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group

Mathematics
1 answer:
Alona [7]2 years ago
5 0

The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°

<h3>Calculation of angle</h3>

The distance of the flagpole from the building = 55ft

The building has the height of = 45ft

The flagpole has the height of = 25ft

The angle can be calculated using the formula;

Tan θ = opposite/adjacent

Where opposite= 45ft

adjacent = 55ft

Tan θ = 45/55 = 0.82

θ = Tan–¹0.82

θ = 39°

Learn more about angles here:

brainly.com/question/25716982

#SPJ1

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Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. If every performa
yan [13]
X = # of perfomances

y = total amount of money

Income: y = 7500x

Expense: y = 5900x + 88000



Substitution:

7500x = 5900x + 88000

1600x = 88000

x = 55

y = 7500(55) = $412,500

55 performances are needed to break-even.
5 0
2 years ago
4.5 + 7.1<br><br> Please help me
Alinara [238K]

Answer:

11.6 is the answer friend.

Step-by-step explanation:

4 0
2 years ago
A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

P(A^c)=0.1

P(B|A^{C})=0.25

If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0
3 years ago
Which intergers in each pair is greater?<br>a.+12 or -21<br>b.+17 or -20​
Annette [7]

Answer:

b is the answer by solomon

4 0
3 years ago
Solve for x. Your answer must be simplified. -7x &gt; 10
andre [41]
The answer to this is x < -10/7
5 0
2 years ago
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