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Airida [17]
3 years ago
14

The length of one leg of a right triangle is 3 times the length of the other, and the length of the hypotenuse is 10. What is th

e length of the longest leg?
Mathematics
2 answers:
iVinArrow [24]3 years ago
5 0

3 times 3 times 3 equals 9

Elis [28]3 years ago
5 0

Answer:

10

Step-by-step explanation:

A triangle as three sides. There are two legs and a hypotenuse. The hypotenuse if always the longest side. Here it is 10.

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From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks
oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = \frac{opposite}{adjacent}

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⇒ x = 490 x Tan 36^{o}

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To determine the value of y;

Tan θ = \frac{opposite}{adjacent}

Tan 47^{o} = \frac{y}{490}

⇒ y = 490 x Tan 47^{o}

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Therefore,

The height of the cliff = x + y

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3 0
3 years ago
Question 4
Ilia_Sergeevich [38]

Answer:

2

Step-by-step explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

E(x) = \sum x * f

Where

x = days

f = chances

So, we have:

E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3  * 0.2 + 4  * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01

E(x) = 1.56

E(x) \approx 2

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um

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