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Klio2033 [76]
3 years ago
14

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
Read 2 more answers
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}  \\&#10;\\&#10;cos \theta=\sqrt{1-(\frac{25}{49})}  \\&#10;\\&#10;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}\\&#10;\\  \text{Substitute the values we get}\\&#10;\\&#10;tan \theta=\frac{-5/7}{\frac{\sqrt{24}}{7}}\\&#10;\\&#10;tan \theta=\frac{-5}{\sqrt{24}}\\

Hence the correct option is C.

5 0
3 years ago
Read 2 more answers
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