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g100num [7]
4 years ago
8

Find the value of x. Round the length to the nearest tenth.

Mathematics
1 answer:
Lostsunrise [7]4 years ago
8 0

Answer:

x = 5.1 yd

Step-by-step Explanation:

Angle of depression is congruent to angle of elevation.

Therefore, angle of elevation of the given figure, which is opposite to x is 25°.

Adjacent length = 11 yd

Opposite length = x

Trigonometric ratio formula for finding x is shown below:

tan(25) = \frac{opposite}{adjacent}

tan(25) = \frac{x}{11}

Multiply both sides by 11 to solve for x

11*tan(25) = x

5.129 = x

x = 5.1 yd (to the nearest tenth)

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If you would to solve 60% of 85 is what number, you can calculate this using the following steps:

60% of 85 is x
60% * 85 = x
x = 60% * 85 = 60/100 * 85 = 51

Result: 60% of 85 is 51.
8 0
3 years ago
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Find the constant of proportionality for the table of values.
Anna [14]

The constant of proportionality k is 3.5

Step-by-step explanation:

Proportionality describes any relationship that is always in the same

ratio

If two quantities x and y are in proportionality, then

1. y ∝ x

2. y = k x , where k is the constant of proportionality

∵ x ⇒    6    ,    7      ,    8    ,    9

∵ y ⇒    21   ,   24.5 ,    28  ,    31.5  

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∴ y = k x

- Use x = 6 and y = 21 to find the value of k

∵ x = 6 and y = 21

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- Divide both sides by 6

∴ k = 3.5

- Use x = 7 and y = 24.5 to find the value of k

∵ x = 7 and y = 24.5

∴ 24.5 = k (7)

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- Use x = 8 and y = 28 to find the value of k

∵ x = 8 and y = 28

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- Use x = 9 and y = 31.5 to find the value of k

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- Divide both sides by 9

∴ k = 3.5

The constant of proportionality k is 3.5

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

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3 years ago
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MrRissso [65]

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Step-by-step explanation:

...

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bonufazy [111]

Answer:

Answer:

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Step-by-step explanation:

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