All categories

3 years ago

From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

Answer:

Lighthouse= 160 ft
Theta= 24
We want to find the length so we will do

tan(24)= 160/x
x= 359 feet

You might be interested in

What's the square root of 1/36?

stich3 [128]

0.27... repeating :)

6 0

3 years ago

Help me with this plz

Lisa [10]

The answer is the first one

5 0

3 years ago

Read 2 more answers

36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

3 years ago

A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1

Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take? <u> 117 </u>

What will be the company's total expenses and revenues? <u> $1755 for each </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) = 1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

7 0

2 years ago

Determine the value for AB

grin007 [14]

Answer:

x = 2

AB = 14

Step-by-step explanation:

2x(10) = 8(x+3)

20x = 8x + 24

subtract 8x from both sides

12x = 24

x = 2

Check:

4(10) = 8(5)

40 = 40

Correct

2x = 2 x 2 = 4

4 + 10 = 14

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago

Read 2 more answers