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Amanda [17]
3 years ago
14

a boat is tied to a dock with a 25-foot rope.when the rope is pulled tight, the boat us 18 feet away from the base of the dock.

the rope connects to the boat at the level of the water. what is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water.​

Mathematics
1 answer:
8090 [49]3 years ago
4 0

Answer:

  • ≈ 44.0°

Step-by-step explanation:

Use trigonometry

<u>The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine:</u>

  • cos x = 18/25 = 0.72
  • cos x = 0.72
  • x = arccos 0.72
  • x = 43.9455° ≈ 44.0° rounded
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Last year Lira earned $12,000 less than her husband Todd. Together they earned $75,000. How much did Lira earn last year?
nexus9112 [7]

Given:

Last year Lira earned $12,000 less than her husband Todd.

Together they earned $75,000.

To find:

The amount earned by Lira in last year.

Solution:

Let x be the amount earned by Lira's husband inn last year.

Last year Lira earned $12,000 less than her husband Todd.

Amount earned by Lira = x-12000

Total amount earned by Lira and her husband = x+(x-12000)

                                                                             = 2x-12000

Together they earned $75,000.

2x-12000=75000

2x=75000+12000

2x=87000

x=\dfrac{87000}{2}

x=43500

Now,

Amount earned by Lira = x-12000

                                       = 43500-12000

                                       = 31500

Therefore, the amount earned by Lira in last year is $31500.

6 0
3 years ago
Witch method can be used to find the area of the composite shape?
Setler79 [48]
No idea because there is no image
6 0
3 years ago
Triangle LMN has coordinates L (0, 0), M (0, -2), and N (2, 0). If ΔLMN ≅ ΔXYZ, what is the measure of XZ?
salantis [7]

Check the picture below.

3 0
4 years ago
Find the inverse of y=1/2x+6. Show steps
soldi70 [24.7K]

Answer:

y = 2x - 12

Step-by-step explanation:

To find the inverse of a function, you switch x and y and solve for y.

x = 1/2 y + 6                 switch x and y

x - 6 = 1/2 y                  subtract 6 from both sides

2x - 12 = y                    multiply both sides by 2

7 0
3 years ago
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t =
const2013 [10]

Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.

<h3>What is the hang time equation?</h3>

The hang-time of the ball for a player of jump h is given by:

t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}

The expression can be simplified as:

t = 2\sqrt{\frac{h}{16}}

For a player that has a hang time of 0.9s, the jump is found as follows:

0.9 = 2\sqrt{\frac{h}{16}}

\sqrt{\frac{h}{16}} = \frac{0.9}{2}

(\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2

h = 16\left(\frac{0.9}{2}\right)^2

h = 3.24 feet.

For a player that has a hang time of 0.8s, the jump is found as follows:

0.8 = 2\sqrt{\frac{h}{16}}

\sqrt{\frac{h}{16}} = \frac{0.8}{2}

(\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2

h = 16\left(\frac{0.8}{2}\right)^2

h = 2.56 feet.

The difference is given by:

3.24 - 2.56 = 0.68 feet.

More can be learned about equations at brainly.com/question/25537936

#SPJ1

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2 years ago
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