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2 years ago

What is the solution to the system of equation s x+y=4. X=y-1

Mathematics

1 answer:

saveliy_v [14]2 years ago

4 0

Answer:

x = 3/2

y = 5/2

Step-by-step explanation:

x + y = 4

x = y - 1

substitute y - 1 in for x in the first equation, to find y

y - 1 + y = 4

2y - 1 = 4

add 1 on both sides

2y - 1 = 4

+1 +1

2y = 5

divide by 2 on both sides

2y/2 = 5/2

y = 5/2

subtitute y in for the second equation, to find x

x = 5/2 - 1

x = 5/2 - 2/2

x = 3/2

so x = 3/2 and y = 5/2

to double check, plug x and y in the first equation

3/2 + 5/2 = 4

8/2 = 4

4 = 4

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3 years ago

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that

aliya0001 [1]

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

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tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

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