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inn [45]
3 years ago
15

two buildings stand 90 ft apart at their closest points, the angle of depression from the top of the taller building to the top

of the shorter building is 12 degrees. how much taller is the taller building? draw a diagram to support your answer. round your answer to the nearset foot. explain your answer
Mathematics
1 answer:
noname [10]3 years ago
8 0
<span>A new kind of temporary pavilion support for a square roof uses just two poles set at the diagonal corners of a square. The allowable distance between the poles is 18 feet. Find the area of the roof. The sides will have lengths of 18/sqrt(2). Since they are perpendicular, the area of the square will be (18^2)/2 = 81*4/2 = 162 square feet. 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
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Answer:

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Step-by-step explanation:

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Select all of the following points that lie on the graph of f(x) = 7 - 3x.
ira [324]

The points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1)

and (0 , 7)

Step-by-step explanation:

To prove that a point lies on the graph of a line

  • Substitute the coordinates of the point in the equation of the line
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∵ The equation of the line is f(x) = 7 - 3 x

∵ f(x) = y

∴ y = 7 - 3 x

Point (-2 , 1)

∵ x = -2 and y = 1

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∴ 1 = 7 - 3(-2)

∴ 1 = 7 + 6

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∵ The left hand side is not equal the right hand side

∴ Point (-2 , 1) does not lie on the graph of the line

Point (-1 , 10)

∵ x = -1 and y = 10

- Substitute them in the equation

∴ 10 = 7 - 3(-1)

∴ 10 = 7 + 3

∴ 10 = 10

∵ The left hand side is equal the right hand side

∴ Point (-1 , 10) lies on the graph of the line

Point (2 , 1)

∵ x = 2 and y = 1

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∵ The left hand side is equal the right hand side

∴ Point (2 , 1) lies on the graph of the line

Point (1 , 5)

∵ x = 1 and y = 5

- Substitute them in the equation

∴ 5 = 7 - 3(1)

∴ 5 = 7 - 3

∴ 5 ≠ 4

∵ The left hand side is not equal the right hand side

∴ Point (1 , 5) does not lie on the graph of the line

Point (0 , 7)

∵ x = 0 and y = 7

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∴ 7 = 7 - 3(0)

∴ 7 = 7 - 0

∴ 7 = 7

∵ The left hand side is equal the right hand side

∴ Point (0 , 7) lies on the graph of the line

The points that lie on the graph of f(x) = 7 - 3 x, are (-1 , 10) , (2 , 1)

and (0 , 7)

Learn more:

You can learn more about the linear equation in brainly.com/question/4326955

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