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3 years ago

Find the length of the arc intercepted by a central angle calculator in pi

Mathematics

1 answer:

kotegsom [21]3 years ago

6 0

Give me a screenshot

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Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)

konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

$m = \frac{y_2-y_1}{x_2-x_1}$

The slope of the line that passes through (−12, 15) and (4, −5) is

$m_{1} = \frac{ - 5 - 15}{4 - - 12}$

$m_{1} = \frac{ - 20}{16} = - \frac{5}{4}$

The slope of the line going through (−8, −9) and (16, 21) is

$m_{2} = \frac{21 - - 9}{16 - - 8}$

$m_{2} = \frac{21 + 9}{16 + 8}$

$m_{2} = \frac{30}{24} = \frac{5}{4}$

The product of the two slopes is

$m_{1} \times m_{2} = - \frac{4}{5} \times \frac{5}{4} = - 1$

Since

$m_{1} \times m_{2} = - 1$

the two lines are perpendicular.

4 0

3 years ago

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Question<br> Find the perimeter of the figure to the nearest hundredth.

suter [353]

Answer:

50.29in

Step-by-step instructions:

First find the semi-circular part:- 1/2×2πr

=1/2×2×22/7×9

=28.29

Find whole perimeter:- 28.29+5+5+12 = 50.29 in

5 0

3 years ago

What two numbers equal 28?

Drupady [299]

It can be a variety of numbers!
10+18 is 28

8 0

3 years ago

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Can i get help with these two questions please

Trava [24]

Answer:

Step-by-step explanation:

i think you will replace x and y respectively,as in take 1\3 as x and -7\2 as y and so on as the next question

4 0

3 years ago

If sin theta = -5/7 , which of the following are possible?

Sav [38]

Solution:

we are given that

$sin \theta=-5/7$

As we know that

$cos \theta =\sqrt{1-sin^2 \theta} \\$

Substitute the value we get

$cos \theta=\sqrt{1-(\frac{-5}{7})^2} \\
\\
cos \theta=\sqrt{1-(\frac{25}{49})} \\
\\
cos \theta=\sqrt{(\frac{24}{49})} =\frac{\sqrt{24}}{7}\\$

Since $sec \theta=\frac{1}{cos \theta}\\$

So here $sec \theta=\frac{7}{\sqrt{24}}\\$

As we know that

$tan \theta=\frac{sin \theta}{cos \theta}\\
\\ \text{Substitute the values we get}\\
\\
tan \theta=\frac{-5/7}{\frac{\sqrt{24}}{7}}\\
\\
tan \theta=\frac{-5}{\sqrt{24}}\\$

Hence the correct option is C.

5 0

3 years ago

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