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
TEA [102]
3 years ago
15

The angle of depression from a lighthouse to a boat in the water is 14 degrees. If the boat is 532 feet from the base of the lig

hthouse, what is the height of the lighthouse?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:132.6tt

Step-by-step explanation:

You might be interested in
Solve for x. 3/4 = x/12 <br> I need work shown to
marta [7]

\frac{3}{4} = \frac{x}{12}

To solve for x you have to bring the 12 to the other side

How  do we do this?

Well if you think about it this is technically what the equation shows

\frac{3}{4} = x * \frac{1}{12}

This means to isolate x you can multiply both sides by 12 and that will cancel \frac{1}{12} from the right side

\frac{3}{4} * 12 = x * \frac{1}{12} * 12

\frac{36}{4} = x * 1\\\frac{36}{4}  = x

\frac{36}{4} can be further simplified to...

9

^^^This is the answer

Check:

3/4 = 9/12

3/4 = 3/4

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Read 2 more answers
Drag the tiles to the boxes to form correct pairs.<br> Match the pairs of equivalent expressions.
Rashid [163]

Answer:

The following pairs/results are matched:

  • 5\left(2t+1\right)+\left(-7t+28\right) = 3t+33
  • 3\left(3t-4\right)-\left(2t+10\right) = 7t-22
  • \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right) = \frac{16t}{3}-\frac{23}{5}
  • \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right) = -\frac{11}{4}t+36

Step-by-step explanation:

Lets solve all the expressions to match the results.

  • 5\left(2t+1\right)+\left(-7t+28\right)

<em>Solving the expression</em>

5\left(2t+1\right)+\left(-7t+28\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

5\left(2t+1\right)-7t+28

10t+5-7t+28

3t+33

Therefore, 5\left(2t+1\right)+\left(-7t+28\right) = 3t+33

  • 3\left(3t-4\right)-\left(2t+10\right)

<em>Solving the expression</em>

3\left(3t-4\right)-\left(2t+10\right)

9t-12-\left(2t+10\right)

9t-12-2t-10

7t-22

Therefore, 3\left(3t-4\right)-\left(2t+10\right) = 7t-22

  • \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)

<em>Solving the expression</em>

\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

4t-\frac{8}{5}-\left(3-\frac{4}{3}t\right)

4t-\frac{8}{5}-\left(-\frac{4t}{3}+3\right)

4t-\frac{8}{5}-3+\frac{4t}{3}

As

-3-\frac{8}{5}:\quad -\frac{23}{5}    and  \frac{4t}{3}+4t:\quad \frac{16t}{3}

So,

4t-\frac{8}{5}-3+\frac{4t}{3} will become \frac{16t}{3}-\frac{23}{5}

Therefore, \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right) = \frac{16t}{3}-\frac{23}{5}

  • \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)

<em>Solving the expression</em>

\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

-\frac{9}{2}t+3+\frac{7}{4}t+33

\mathrm{Group\:like\:terms}

\frac{9}{2}t+\frac{7}{4}t+3+33

\mathrm{Add\:similar\:elements:}\:-\frac{9}{2}t+\frac{7}{4}t=-\frac{11}{4}t

-\frac{11}{4}t+3+33

-\frac{11}{4}t+36

Therefore, \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right) = -\frac{11}{4}t+36

Thus, the following pairs/results are matched:

  • 5\left(2t+1\right)+\left(-7t+28\right) = 3t+33
  • 3\left(3t-4\right)-\left(2t+10\right) = 7t-22
  • \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right) = \frac{16t}{3}-\frac{23}{5}
  • \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right) = -\frac{11}{4}t+36

Keywords: algebraic expression

Learn more about algebraic expression from brainly.com/question/11336599

#learnwithBrainly

5 0
3 years ago
Read 2 more answers
Two integers a and b have a product of -48
ycow [4]
It’s c because I got it right on the test
3 0
3 years ago
(0.95x-0.04) - (0.99x-0.13)
Mandarinka [93]

Answer:

-0.04x+0.9

Step-by-step explanation:

5 0
3 years ago
C. Find the value of x below:<br> 15.r + 5<br> -2 + 16.
nydimaria [60]

Answer:

7

Step-by-step explanation:

(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.

Measures of corresponding angles are equal.

Therefore,

- 2 + 16x = 15x + 5

16x - 15x = 5 + 2

x = 7

5 0
3 years ago
Other questions:
  • Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8
    13·1 answer
  • Below is the justification for the formula for area of a circle. Which word, when placed in the blank best completes this argume
    6·2 answers
  • The potential energy function for a system of particles is given byU(x) = −6x3 + 2x2 + 7x,where x is the position of one particl
    9·1 answer
  • Algebra 2 help please
    6·1 answer
  • 23,681,714 rounded to the nearest million
    6·1 answer
  • A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect
    11·1 answer
  • What is the measure of a straight angle?
    14·2 answers
  • Subtract 4’ 1” - 3’ 7”
    12·1 answer
  • Please if someone can help me
    15·1 answer
  • Pls help! I’ll give brainliest!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!