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maksim [4K]
3 years ago
14

What is the area of sector ACB? Leave your answer in terms of pi.​

Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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Write the following polar equation in Cartesian coordinates:
maks197457 [2]
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)

Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))

Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
5 0
3 years ago
TRUE OR FALSE:<br><br> 16 + 72n = (2 + 9n)(8)
scoray [572]

Answer:

true

Step-by-step explanation:

please see the image I attached of my work

3 0
3 years ago
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How do you write a linear equation given the slope and a point that
Serga [27]

Answer:

point slope form

Step-by-step explanation:

hi! we can use point slope form:

y-y1=m(x-x1)

where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.

example:

slope is 4

ordered pair is (2,3)

y-3=4(x-2)

y-3=4x-8

y=4x-5

hope this helps!

6 0
3 years ago
Without graphing classify each system as independent dependent or inconsistent -x -y=7<br> 5x-5y=5
jek_recluse [69]

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

-x-y=7 -----> isolate the variable y

y=-x-7 ----> equation A

5x-5y=5 -----> isolate the variable y

y=x-5 ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

so

The system of equations has only one solution

therefore

Is a consistent independent system

5 0
3 years ago
What is the prime factorization of 34
Wittaler [7]

Answer:

Your answer is 2*17

Happy Valentine's day!!<3

Step-by-step explanation:

1*34

2*17

7 0
3 years ago
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