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Paraphin [41]
3 years ago
12

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
  1. tan(24)= 160/x
  2. x= 359 feet
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There are 75 students performing in the holiday concert. Of the students, 30 are boys. What percent of the students are boys?
viva [34]

Answer:

Total students = 75

Boys = 30

<h3>Percentage</h3>

\sf \frac{30}{75}  \times 100\% \\   \sf=  \frac{10}{25}  \times 100\% \\  \sf =  \boxed{ \bold{ \red{40\%}}}

Hope it helps!

8 0
3 years ago
SOMEONE PLEASE HELLPPPP
ipn [44]

Answer:

93.39

Step-by-step explanation:

So the sum of exterior angles of the convex octagon is: 360 degrees

This means if we add all the equations that represent each angle, we can set it equal to 360 and solve for x

(x+14) + (2x-3) + (3x+8) + (3x+16) + (2x-17) + (3x-4) + (3x-12) + (6x)

Group like terms

(x+2x+3x+3x+2x+3x+3x+6x) + (14-3+8+16-17-4-12)

Add like terms

23x+2

Now let's set the sum of exterior angles to 360

23x+2 = 360

Subtract 2 from both sides

23x=358

Divide both sides by 23

x\approx 15.565

So by looking at all these, it appears that 6x is the highest value, given that x is positive. The way I estimated, is approximately 15.5, whenever I saw an equation like x+14, I estimated it's about 2x, since 14 is not exactly, but close to 15.5. I did this with each polynomial given. You could also manually check each one

Original equation

6x

Subsitute

6(15.565)

Simplify

93.39

7 0
2 years ago
1. Find the value of x.<br> 55°<br> (4x - 5)°<br> O<br> 26<br> O
Paha777 [63]

Answer:

26

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees, use this and set up an equation;

x + ( 4x -5 ) + 55 = 180

Simplify

x + ( 4x - 5 ) + 55 = 180

5x + 50 = 180

Inverse operations;

5x + 50 = 180

    -50     - 50

5x = 130

/5    /5

x = 26

7 0
3 years ago
Which net represents the figure. Plz help meeeeeeeee
Goshia [24]
The fourth graph or D (the one in the bottom right corner) this is because a pyramid consists of four triangles and one square at the bottom.

Correct me if wrong
Have a nice day :D
~Hackermcpe 
3 0
3 years ago
Read 2 more answers
-4(4-4v)-v=-2(-5v-2) answer
nalin [4]

Answer:

Step-by-step explanation:

-16-16v - v = 10v + 4

Add 16 to both sides and combine like terms giving you

15v = 10v + 20

Subtract 10v from both sides

5v= 20

Divide by 5

V=4

3 0
3 years ago
Read 2 more answers
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