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Lana71 [14]
3 years ago
11

A tower 125 feet high stands on the of a hill. At a point 240 feet from the foot of the tower, measured straight down the hill,

the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

11°

The solution is in the attachment

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What is the solution set of 2x(x - 1) = 3?
garik1379 [7]

First you must distribute the 2x to the numbers inside the parentheses

(2x * x) + (2x * -1) = 3

2x^{2} - 2x = 3

To make this a quadratic equation you can solve bring the 3 over to the left side of the equation by subtracting it to both sides

2x^{2} - 2x - 3 = 0

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

ax^{2} +bx +c = 0

That means that in this equation...

a = 2

b = -2

c = -3

^^^Plug these numbers into the quadratic equation and solve...

\frac{2+/-\sqrt{(-2)^{2}-4(2)(-3)}}{2(2)}

\frac{2 +/-\sqrt{4+24}}{4}

\frac{2+/-\sqrt{28} }{4}

\frac{2+/-2\sqrt{7} }{4}

\frac{1+/-\sqrt{7} }{2}

Keep in mind that +/- is ±

\frac{1+\sqrt{7} }{2}

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^^^Exact answers

Approximations:

1.823

-0.823

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Troyanec [42]

Answer: 300

Step-by-step explanation:

Let the number be represented by x.

Therefore, based on the information given in the question, this can be expressed as:

36% of x = 108

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0.36x = 108

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Therefore, the number is 300

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Use the vertical angles equation.

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Subtract 4x from 5x.

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Add 8 on both dies.

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JKLM has x that equals 21.

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Hope it helped!

7 0
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