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nordsb [41]
2 years ago
9

A telephone pole that is 12 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above

the ground, what is the angle that the telephone pole makes with the ground?

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
4 0

Answer:

56.44 degrees

Step-by-step explanation:

          sin(measure of the angle)=10/12

sin^-1(sin(measure of the angle))=sin^-1(10/12)

                 measure of the angle=56.44

ollegr [7]2 years ago
4 0

Answer:

The correct answer is, second option

the angle that the telephone pole makes with the ground = 56.4°

Step-by-step explanation:

It is given that,

A telephone pole that is 12 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above the ground

From the figure attached with this answer shows the pictorial representation of the scenario.

We have to find the <B

To find the angle

We have, trigonometric ratio

sin x = Opposite side / Hypotenuse

sin x = 10/12 = 0.8333

x = sin ⁻¹(0.8333)

<x = 56.4°

Second option is the correct answer.

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A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred
Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest:  Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P.  Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

                   ln 3

ln (1 + r) = ---------------

                    100

              = 1.0986 / 100 = 0.01986

We must solve this for r.  Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today.  Use the same equation:  A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

or

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0
2 years ago
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Answer:

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Step-by-step explanation:

The train routes go from 1-2, 2-3, 3-4, 4-5, ,and so on, but there is also one that goes from 25-1. If you notice, there when we get to 4-5, there are 4 train routes which means that if there are 25 towns, then there are 24 train routes, but since 25 and 1 are connected then there are 25 routes. Hope this helps!

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Answer:

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Step-by-step explanation:

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