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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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State whether the lines are parallel, perpendicular, coinciding, or neither: 6x+3y=–15 and y–3=–2x
lianna [129]

Answer:

Parallel

<u>Step-By-Step Explanation:</u>

Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15

6x+3y = 15

3y = -6x + 15

3y/3 = -6x/3 + 15/3

y = -2x + 5

<u>We can see that the slope of 6x+3y = 15 is -2</u>

Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x

y–3=–2x

y = -2x + 3

Here are our two Functions In Slope Intercept Form

y = -2x + 5

y = -2x + 3

<u>Remember the m = slope and the b = y-intercept</u>

y = mx + b

y = -2x + 5

y = -2x + 3

------------------------------------------------------------------------------------------------------

We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.

4 0
4 years ago
Which of these is a correct step I construing an angle bisector?
olasank [31]

Answer:

1) Place the compass point at the vertex of the angle and open it to any width. Draw an arc that intersects of the sides of the angle.

2) Place the compass point at the one of the intersection points. Place the pencil at the other intersection point. This sets the compass with.

3) Draw an arc inside the angle.

4) Move the compass point to the intersection point on the other side of the angle being sure to keep the compass width the same. Draw a second arc inside the angle.

5) Make a point where the 2 arcs intersect the angle. Use a straight edge to draw a ray from the vertex of the angle through the point.

8 0
4 years ago
Which number is greatest? 2.89 times 10 Superscript negative 8 1.997 times 10 Superscript 2 8.9 times 10 Superscript negative 6
love history [14]
<h3> The greatest number is 1.997 \times 10^2</h3>

<em><u>Solution:</u></em>

<em><u>Given that the numbers are:</u></em>

2.89 \times 10^{-8}\\\\1.997 \times 10^2\\\\8.9 \times 10^{-6}\\\\5 \times 10^{-6}

We have to find the number that is greatest

Convert the numbers to decimal

2.89 \times 10^{-8} = 2.89 \times \frac{1}{10^8} =0.0000000289

1.997 \times 10^2 = 199.7

8.9\times 10^{-6}=8.9\times \frac{1}{10^6}=0.0000089

5\times 10^{-6}=5\times \frac{1}{10^6}=0.000005

We can clearly see that, 199.7 is greatest number

Thus the greatest number is 1.997 \times 10^2

3 0
4 years ago
Read 2 more answers
Can you tell me the answer? E = ?
Travka [436]

Answer:

E=mc^{2}

Step-by-step explanation:

An Albert Einstein iconic math problem.

3 0
3 years ago
A local water company charges a flat fee of $5 per month, plus $0.0007 per gallons, and $0.0009 per gallon for every gallon for
cestrela7 [59]

Answer:

Total cost= $51

Step-by-step explanation:

<u>Giving the following information: </u>

Fixed cost= $5

From 0 to 40,000 gallons= $0.0007 per gallon

From 40,001 to infinity= $0.0009

<u>We need to calculate the total cost for 60,000 gallons:</u>

Total cost= 5 + 40,000*0.0007 + 20,000*0.0009

Total cost= $51

7 0
3 years ago
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