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Ilia_Sergeevich [38]
3 years ago
10

Please provide steps. I have a test soon.

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

B) 5x+15y=30

5x-5y=10

Step-by-step explanation:

First, we solve the top equations by addition.  Multiply the first one by -4.

-4x-12y=-24

4x-8y=4

This equals -20y=-20, so y=1.  Now we put that back into either equation and find that x=3.  So the solution set is (3,1)

Plugging those into each of the possible choices, we find that the answer is

B) 5x+15y=30.   5(3)+15(1)=30 15+15=30.   30=30 CHECK

5x-5y=10     5(3)-5(1)=10.  15-5=10.    10=10. CHECK

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Answer:

Step-by-step explanation:

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843 to the nearest 100
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The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to
zepelin [54]

Answer:

Answer in terms of a trigonometric function :

h = \frac{20tan(19.9)}{0.4-tan(19.9)}

Answer in figures

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Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

tan (19.9)=\frac{h}{50+x} ---------------equation 1\\

tan (21.8)=\frac{h}{x}----------------equation 2

From equation 2,

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substituting the value of x into equation 1, we get

tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}

tan 19.9=h\times \frac{0.4}{20+h}

cross multiplying,

20\times tan(19.9) +htan(19.9)=0.4h

20tan(19.9)= h(0.4-tan(19.9))

h= \frac{20tan (19.9)}{0.4-tan (19.9)}

The height of the tower is h= \frac{20tan (19.9)}{0.4-tan (19.9)} in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

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