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enyata [817]
2 years ago
6

In a right triangle, angle a measures 20. The side opposite angle a is 10 centimeters long. Approximately how long is the hypote

nuse of the triangle
Mathematics
2 answers:
AleksAgata [21]2 years ago
6 0

<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>

<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>

<span><span><span>
</span></span></span>


sergeinik [125]2 years ago
3 0

Answer:

29.24 centimeters

Step-by-step explanation:

The trigonometry of angles states that in a right angled triangle with sides a, b, c representing the opposite, adjacent and hypotenuse sides respectively, and an angle A° opposite the side a

Then,

Sin A° = a/c

Cos A° = b/c

Tan A° = a/b

Hence,

Sin 20° = 10/c

c = 10/Sin 20°

c = 29.24 centimeters

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lisabon 2012 [21]

Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

The cost is $29 + x*$4.50

where x is the number of bracelets he can buy.

The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

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x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

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2 years ago
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If each lap in a pool is 100 meters long, how many laps equal one mile? Round to the nearest tenth. (Hint: 1 foot ≈0.3048 meter)
aalyn [17]
If each lap in a pool is 100 meters long,how many laps equal one mile Round to the nearest tenth.(Hint:1 foot=0.3048 meter) 1 mile = 5280 ft lets do a ratio: 1ft/.3034m = x ft/100m the ft and meters sybols cancel, so 1/.3048 =x/100 so 100/.3038 = x = 329.164 so there are 329.164 ft for every 100 meters to find the number of laps to get to a mile which is 5280, do another ratio 329.164ft/100 m =5280 ft/xm the left side reduces to 3.29164 =5280/x you can compute this and see that 5280/3.29164 = 1604.064 meters 1604.064 meters *1 lap / 100m = 16.04064 laps are required to make a mile
7 0
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Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor var
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Answer:

Step-by-step explanation:

Response Variable: Miles per gallon

Predictor Variables: Weight, Horsepower

The multiple regression equation would be: M = aW + bH + c

where M = miles per gallon

a = slope of the graph of W on M OR rate of change in M due to change in W

W = weight

b = slope of the graph of H on M OR rate of change in M due to change in H

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How might the car rental company use this model?

The car rental company might use the regression model to determine the following:

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2 years ago
Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean len
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Answer:

Step-by-step explanation:

Hello!

You need to construct a 95% CI for the population mean of the length of engineering conferences.

The variable has a normal distribution.

The information given is:

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The formula for the Confidence interval is:

x[bar]±Z_{1-\alpha/2}*(δ/n)

Lower bound(Lb): 3.698

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I hope it helps!

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The total number of shares in Marks brothers is increased by 12.8% how many shares will there be after the increase
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Answer:

Total number of shares is to increase by 12.8%

Step-by-step explanation:

After increase the number of shares will be 87984. hope this helps you :)

8 0
2 years ago
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