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defon
3 years ago
15

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce

ntered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12 radians?
Mathematics
1 answer:
Scilla [17]3 years ago
3 0
Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).

The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.

For the y-value, we can write and solve:
sin75 = x/20

For the x-value, we can write and solve:
cos75 = x/20
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Help if you understand please and thanks
wlad13 [49]

Answer:

y = 4

Step-by-step explanation:

because 5 x 4 = 20 and 20 × 4 = 80 and so on y is equal to four

6 0
3 years ago
Find f(-2) for f(x) = 2(4)^x
stepladder [879]

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

3 0
3 years ago
Read 2 more answers
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mezya [45]
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4 0
3 years ago
1. The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, pro
Whitepunk [10]
First, plot the points. Point R would be somewhere in the second Quadrant, point M would be in the first quadrant 1, point B would be in the fourth quadrant, and point S would be on the negative y-axis. A property of rhombi is that their diagonals are perpendicular. One would need to calculate the slopes of the diagonals and determine whether or not they are perpendicular. Lines are perpendicular if and only if their slopes are opposite reciprocals. Example: 2 and -0.5
Formulas needed:
Slope formula:
\frac{ y_{2}- y_{1}  }{ x_{2} - x_{1} }

The figure would look kinda like this:
      R
                  M
  
          S
                       B
 Diagonals are segment RB and segment SM
So, your slope equations would look like this:
 \frac{-1-5}{2-(-4)}
and
\frac{4-(-3)}{1-0}
Slope of RB= -1
Slope of SM=7
Not a rhombus, slopes aren't perpendicular. But this figure may very well be a parallelogram
7 0
3 years ago
a bread recipe calls for ⅓ cup of butter you want to make ½ of a batch. how much butter do you need?​
Reil [10]

Answer:

1/6

Step-by-step explanation:

if 1/3 is for a whole batch and you want to make a half batch. So, divide 1/3 by 2.

4 0
3 years ago
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