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3 years ago

Find the height of the triangle. hypotenuse=10, right angle, opposite angle=20º

Mathematics

1 answer:

yan [13]3 years ago

7 0

here if 20 degree angle is in base line then we would take sin of 20

because sin theta = height / hupotaneous

sin 20 = height/ 10

height = 10 times sin 20 = 10 times *0.34 = 3.4

But if angle 20 in on the line making height of the triangle then the base line of angle 20 degree would be the height of triangle )

we would take : cos 20 =base / hypotaneous

cos 20 = base / hypotaneous

cos 20 = base / 10

base = 10 cos 20 = 10 * 0.93 = 9.3

As per the given question if 20 degree angle lie on horizontal line answer should be 3.4

OR if angle 20 degree lie on vertical line then answer is 9.3

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3 years ago

What is 4x-4y/2=x+2 in slope intercept form?

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Step-by-step explanation:

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3 years ago

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3 years ago

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2 years ago

Read 2 more answers

Write the next three terms of the arithmetic sequence.

JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

$\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...$

First of all, we have to find the common difference

$here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}$

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

$\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}$

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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3 years ago