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musickatia [10]
3 years ago
14

What are the missing numbers?

Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:

The first box is 2.089

The second box is 2.095

Step-by-step explanation:

Between each line there is 1 thousandth added to the number.

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Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her
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Enter the correct answer in the box.
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liraira [26]

Answer:

22.9m

Step-by-step explanation:

Using Pythagorean theorem, we can get two equations using the angles.

From Point A:

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From Point B:

∠B = 29°

BD = x

What we are looking for is the opposite side of each right triangle, each person makes because we have one adjacent side. We also know that both opposite sides will be equal.

So we use this formula for both point of views:

Tan\theta=\dfrac{Opposite}{adjacent}

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We are looking for the opposite side so we can tweak our formula to get an equation for the height

height=(Tan\theta)(distance)

Using our given, we can solve for the distance of point B to D:

(Tan20)(20+x) = (Tan29)(x)\\\\(0.3640)(20+x) = (0.5543)(x)\\\\\dfrac{(7.28+0.3640x)}{0.5543}=x\\\\13.1337 + 0.6567x = x\\\\13.1337 = x - 0.6567x\\\\13.1337 = 0.3433x\\\\\dfrac{13.1337}{0.3433}=x\\\\38.2572 = x

The distance of point B to D is 38.2572 m.

Now that we know the distance of BD we can solve for the height of the building using only the given from point B.

height=(Tan\theta)(distance)

height=(Tan29)(38.2572m)

height=(0.5543)(38.2572m)

height=21.21m

But this is only the height from the line of sight. To get the height of the building from the ground, we just add the height of the viewer, which is 1.7m.

21.21m + 1.7m = 22.91m

The closest answer is: 22.91 m

8 0
3 years ago
ASAP how many solutions are there for the system of equations shown on the graph?
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