1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
3 years ago
9

Cape Hatteras Lighthouse was built in 1870 and rises 208 feet above sea level. From the top of the lighthouse, the lighthouse ke

eper observes two ships along the same line of sight. The angle of depression to ship 1 is 20  and the angle of depression to ship 2 is 12.5  . For safety purposes, the keeper thinks the two ships should be at least 300 feet apart. If they are less than 300 feet apart, she will sound a warning. How far apart are the vessels? Will she sound the warning?

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

The distance between them is 366.75 feet.

She doesn't need to sound a warning yet.

Step-by-step explanation:

Please see the attached files for explanation.

You might be interested in
A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
Please help me with this sum​
Scilla [17]

Answer:

1. 384

2. 180

3. 324

4. 648

5. 476

6. 528

7. 294

8. 384

9. 414

10. 80

11. 72

12. 301

13. 222

14. 146

15. 156

16. 270

17. 283

18. 300

19. 292

20. 58

21. 64

22. 138

23. 296

24. 170

Hope it helps you

7 0
2 years ago
G(t) = 3t+ 4; Find g(−3)
lorasvet [3.4K]

Answer:

t=-5

Step-by-step explanation:

-3=3t+4

-1=t+4

-5=t

6 0
3 years ago
Jack can read 45 pages of his book in one and half hours. At the rateb, how long will it take jack to read the entier 300 page b
Brrunno [24]

Answer:

10 hours

Step-by-step explanation:

45 pages=1.5 hours

300=x

x=300*1.5/45

x=10

5 0
3 years ago
The diameter of a circular chip is doubled to use in a new board game. The area of the new chip will be
nikitadnepr [17]

Answer: A_2=\frac{\pi(2D)^{2}}{4}


Step-by-step explanation:

1. You have the following formula for calculate the area of the original circular chip:

A_1=\frac{\pi(D)^{2}}{4}

Where D is the diameter of the circle.

2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:

A_2=\frac{\pi(2D)^{2}}{4}


7 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression will give the new price of a $15 item marked up by 28%
    7·1 answer
  • Nick is solving the equation 3x^2=20-7x with the quadratic formula
    14·1 answer
  • How to use the slope formula to find the slope of a line<br> please help me!!!!!!!
    5·1 answer
  • 2 divided by 819,285 equals?
    11·1 answer
  • Which value of x makes the equation true? x - 5 = 22
    8·1 answer
  • Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
    9·1 answer
  • Consider the following pair of equations:
    11·1 answer
  • What is 15 / 79. SHow your work
    14·2 answers
  • Solve the problem.
    11·1 answer
  • Please help ASAP!! 31 points and brainliest!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!