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STALIN [3.7K]
2 years ago
10

PLEASE HELP ME!!! It’s due before 7pm

Mathematics
1 answer:
Grace [21]2 years ago
5 0

Step-by-step explanation:

Solution:Total length of the board=95 cm

:One piece must longer 13 cm than other piece

Equation:95cm=X+X+13cm

:95cm-13cm=2x

:82cm=2x

:X=41 cm-Length of the smaller piece

:X=41cm +13cm=54cm-Length of the larger piece

Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.

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2 years ago
Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with
Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

tan(72)=\frac{150}{x} and, solving for x,

x=\frac{150}{tan(72)}

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

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3 years ago
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Step-by-step explanation:

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Please help due tonight
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