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anzhelika [568]

3 years ago

15

The equation y=39/4x describes the number of miles y that an airplane travels in x minutes. What is the constant speed of the ai

rplane in miles per minute? How many miles does the airplane travel in hours?

1 answer:

Cerrena [4.2K]3 years ago

6 0

Answer:

The plane goes 9.75 Miles/Minute

The plane goes 585 Miles/Hour

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What is the length of the altitude of the equilateral triangle below?

Mazyrski [523]

ANSWER

The length of the altitude is $3\sqrt{3}$ units

<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.

From the diagram the altitude is $a$

Method 1: We can use Pythagoras theorem to find $a$

$6^2=a^2+3^2$

$6^2-3^2=a^2$

$36-9=a^2$

$27=a^2$

We take the square root of both sides,

$\sqrt{27}=a$

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$3\sqrt{3}=a$

Method 2 Using Trigonometry

$sin(60\degree)=\frac{a}{6}$

$6sin(60\degree)=a$

$a=6\times \frac{\sqrt{3}} {2}$

$a=3\sqrt{3}$

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3 years ago

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