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loris [4]
2 years ago
6

The triangles below are congruent and the corresponding parts are marked

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0

Answer:

Step-by-step explanation:

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The answer is M = -24
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As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30° to 45°. Id
levacccp [35]
ANSWER

The height is 22ft


EXPLANATION

Let the height of the chimney be x.

\tan(45 \degree) = \frac{x}{y}

1 = \frac{x}{y}

x = y

\tan(30 \degree) = \frac{x}{16+ y}

\frac{ \sqrt{3} }{3} = \frac{x}{16 + y}

Cross multiply

\sqrt{3} (16 + y) = 3x

16 \sqrt{3} + y \sqrt{3} = 3x

Put

y = x

into the equation;

16 \sqrt{3} + x \sqrt{3} = 3x

Group similar terms:

16 \sqrt{3}= 3x - x \sqrt{3}

16 \sqrt{3}= (3 - \sqrt{3})x

\frac{16 \sqrt{3} }{3 - \sqrt{3} } = x



x=21.856


The height of the chimney to the nearest feet is 22

6 0
3 years ago
6) Work out 4 x 10-5 x 6 x 1012<br>Give your answer in standard form.​
julia-pushkina [17]

Answer:

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Original grade: 80<br> New grade: 100<br> Find the percent of increase.<br> 107
Kipish [7]

Step-by-step explanation:

Based on the given conditions,

Formulate:(100-80)÷80

Calculate the sum or difference:20/80

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Write as a single fraction :25/4×25

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Rewrite a fraction with denominator equals 100 to a percentage:25%

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Answer:

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2nd page is -2

Step-by-step explanation:

3 x -4 = -12

-12 / -2 = 2

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negative time a negative is a positive and a positive times a negative is a positive

5 0
3 years ago
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