Deanna and Raquel ride a merry-go-round together. Deanna sits on a horse on the outer edge of the merry-go-round, 10 feet from the center of the ride. Raquel sits on a horse that is 2 feet closer to the center than Deanna. This ride makes one full rotation every 15 seconds. When the ride starts spinning, which girl is traveling faster? Explain how you know.

Answers

Answer 1

As Deanna is sitting farther from the center she is travelling at a faster rate.

What is circumference of a  circle ?

Circumference of a circle is the distance around the circle.

We know that merry-go-round covers distance in form of circles and we also know that circumference of a circle is 2πr.

As Deanna sits on a horse on the outer edge of the merry-go-round, 10 feet from the center of the ride it can thought of as the radius.

∴ In one rotation Denna will cover (2πr) feet which is

= (2π×10 feet.

= 62.8 feet in 15 seconds.

Now if we do the previous calculation for Raquel with r taken as 8 she will cover:

= 50.24 feet in 15 seconds.

Therefore Deanna is spinning at a faster speed.

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Related Questions

a college instructor is interested to compare final exam scores for three different sections of a statistics course: an online section versus a hybrid section versus a face to face section. the final exam scores for a sample of students from each of these three course sections are provided in the attached dataset. the instructor is interested to know if there is a statistical difference in the average final exam scores for these three sections of a statistics course, or if the average test scores are statistically the same. the instructor has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.

Answers

The computation shows that the degree of freedom for the numerator is 2 while it's 67 for the denominator.

How to compute the value?

It should be noted that degree of freedom is calculated as:

= k - 1

where k = variable in a data

k = 3.

Degree of freedom = 3 - 1 = 2

The degree of freedom for numerator is 2.

The degree of freedom for denominator is:

n - k

= 70 - 3

= 67

The degree of freedom for denominator is 67.

Note that the complete question is attached.

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what is the potential outlier in the population density data set? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,738

Answers

Check the picture below.

let's noticed the distances from one to the next value in the dataset, let's notice the distance on the last one.

Someone help me out I don’t know what I’m doing

Answers

Answer:

shesh

Step-by-step explanation:

−3 Which is the correct graph for the compound inequality

Answers

The correct graph for the compound inequality is the third graph.

Graph of Inequality

From the question, we are to determine the correct graph to the given compound inequality

The given compound inequality is

-3 < x ≤ 4

This means

-3 < x and x ≤ 4

That is,

x > -3 and x ≤ 4

The graph of x > -3 will start at -3 on the number line without shading the circle and it will point in the right direction

The graph of x ≤ 4 will start at 4 on the number line, with the circle shaded, and it will point towards the left

Joining the two graphs, we will get a number line starting at -3, unshaded, and ending at 4 shaded.

Hence, the correct graph for the compound inequality is the third graph.

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What color is chicken nugget

Answers

Answer:

orange

Step-by-step explanation:

when you fried chicken nuggets it will turn to orange

it’s like a brown beige. when it gets crispier ist more brown, but when it’s microwaved it’s kinda orangish beige color

Find a direct relationship between y and x.

x = t+1
y = t^2 - 2t

Answers

Equating x = y
I got a quadratic so : t = 3.3
and therefore x = 4.3
y= 4.29

Show all working out

Answers

Step-by-step explanation:

yes and saved dollar cohocolate

Help please this is missing i dont know what to doo
Sort the steps to complete the square.

Answers

Answer:

I hope this helps!

Step-by-step explanation:

Move the constant to the right side

Add [tex](\frac{b}{ 2a} )^{2}[/tex] to both sides

Rewrite as [tex]( x +\frac{b}{2a}) ^{2}[/tex]

Take the square root of both sides

Solve for x

pls help will mark as brainliest​

Answers

Answer:

p = 11 , q = 3

Step-by-step explanation:

solution file attached

Point P is located 3/5 of the way from point A to point E. Point A is located at (-1, -1) and point P is located


at (-7,5). What are the coordinates for point E?

Answers

By using the line segment formula, we conclude that the coordinates of point E are E(x, y) = (- 11, 9).

How to determine the coordinates of the missing endpoint of a line segment

In this problem we find a line segment of which the coordinates of an endpoint and a point within the segment and in accordance with a segment ratio are known. The coordinates of the other endpoint must be found in accordance with the following expression:

E(x, y) = A(x, y) + k · [P(x, y) - A(x, y)]          (1)

Where E(x, y) is the missing endpoint.

If we know that A(x, y) = (- 1, - 1), P(x, y) = (- 7, 5) and k = 5 / 3, then the coordinates of point E are:

E(x, y) = (- 1, - 1) + (5 / 3) · [(- 7, 5) - (- 1, - 1)]

E(x, y) = (- 1, - 1) + (5 / 3) · (- 6, 6)

E(x, y) = (- 1, - 1) + (- 10, 10)

E(x, y) = (- 11, 9)

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You saw 5 flying saucers. each flying saucer had 5 aliens. each alien had 5 eyes. how many alien eyes were there altogether?

Answers

Answer:

125 alien eyes.

Step-by-step explanation:

5 flying saucers

5 aliens/flying saucer (5x5=25 aliens)

5 eyes/alien (25x5=125 eyes)

in 1988, galena christyakova set the women's long jump record of 7.52 meters. in 1991, mike powell set the men's long jump record of 8.95 meters. how much farther (ef) would galena have to jump in order to tie mike's record?

Answers

Answer: 1.43 meters

Step-by-step explanation:

subtract 7.52 from 8.92 and that's the difference so that is how far she would have to jump to tie the record

recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?

3 and StartFraction 1 Over 12 EndFractioncups
3 and one-fourthcups
3 and StartFraction 5 Over 12 EndFractioncups
3 and StartFraction 11 Over 12 EndFractioncups

Answers

The flour that is needed is C. 3 and StartFraction 5 Over 12 EndFractioncups

How to calculate the fraction?

The recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, the flour that will be needed will be:

= 3 2/3 - 1/4

= 3 8/12 - 3/12

= 3 5/12

Therefore, the correct option is C.

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Which choice is a correct equation for the graph shown below?
A y = 2x + 20
B. y = 3x + 1
C. y = 10x + 5
D. y = 15x + 35

Answers

Answer:

Option C -   y=10x + 5

Step-by-step explanation:

All the options are in the y =mx+c form.

The gradient is 10 and the y-intercept is 5

so our answer it option c

Answer:

C. y = 10x + 5

Step-by-step explanation:

[tex]y = mx + c \\ \\ m = \frac{y2 - y1}{x2 - x1 \\ } \\ m = \frac{25 - 5}{ 2 - 0} \\ m = \frac{20}{2} \\ m = 10 \\ y = 10x + c \\ y = 10x + 5[/tex]

c = the y-intercept

A man if five times as old as his son. The sum of squares of their ages is 2106. How old is the son?

Answers

Answer: IS A

Step-by-step explanation: Correct option is A)

Let the age of the son be x

∴ The age of his father =5x

Given that

(5x)

2

+(x)

2

=2106

25x

2

+x

2

=2106

x

2

=

26

2106

=81

∴x=9

∴ Age of son =9 years

Age of father =5x9=45 years

In the figure below, m

Answers

Answer:

63

Step-by-step explanation:

Angle ABD equals 89. That is the whole figure. Angle EBD equals 26. So 89 minus 26 equals 63. So Angle ABC equals 63 degrees.

15) Priscilla is doing squats in the weight room. She can currently squat 108 lbs, but she wants to be
able to squat at least 176 lbs. If her training lets her squat an additional 4 lbs each week, at least
how many weeks

Answers

Answer:

17 weeks

Step-by-step explanation:

She need to increase ( 176 - 108 ) = 68 pounds

68 pounds / (4 pounds/week) = 17 weeks

(24d)
Part 1: Past Paper 3 H
Question No. 9:

Simplify (2x + 3)² − (2x + 3)(x - 5)
Give your answer in the form ax² +bx+c

Answers

Check the image below for working
Hope this helped :)

Which pair of triangles can be proven congruent by the HL theorem?

2 right triangles have congruent hypotenuses.
2 triangles have one congruent angle and 2 congruent sides.
2 right triangles have congruent hypotenuses and another congruent side.
2 triangles have 3 congruent sides.

Answers

The pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.

What is the HL Theorem?

The HL theorem is a triangle congruence theorem which states that two right triangles are congruent to each other, if the hypotenuse of one is congruent to the hypotenuse, and also if one leg of one right triangle is congruent to a corresponding leg in the other right triangle.

Thus, if two triangles are right triangles having a pair of congruent hypotenuses and another pair of congruent side, then they are congruent by the HL theorem.

In conclusion, the pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.

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The car will use how much
gallons of gas to travel 1,155 miles

Answers

Answer: It will travel for 38.5 to 57.75 miles

Step-by-step explanation:

1) One gallon of gas will travel for at least 20-30 miles

Where 1155 miles will use 38.5 gallons or 58 gallons of gas

If its helpful please like thank you

SA
3)
Which expression is equivalent to (5-2)5 x 5¹ ?
A
512
B 57
C
1
5.40

Answers

Answer:

I'm not sure if i'm doing this right, but I got 75

Step-by-step explanation:

(5-2)5*5^1 =  75

What is the y-coordinate of the y-intercept of the parabola y=x^2+1

Answers

Answer:

-1/4 or -0.25

Step-by-step explanation:

use completing the square

hope this is right :)

what is the width of a parralleogram that has an area of 19.84 square feet and the length of 6.2 feet

Answers

The width of a parallelogram that has an area of 19.84 square feet and a length of 6.2 feet is 3.2 feet.

What do you mean by parallelogram?

A unique variety of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal. The illustration displays a parallelogram ABCD with the coordinates AB II CD and AD II BC. Moreover, AB = CD and AD = BC.

There are many parallelogram-like shapes and items all around us, whether they be in the form of structures, tiles, or paper. Buildings: When constructing a lot of structures, parallelograms are kept in mind. Hamburg, Germany's Dockland Office Building is a well-known example of this in real life.

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1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be
sure to include units.

Answers

The mass of Jupiter can be written as 1.898 130 ×[tex]10^{6}[/tex] where 6  is a one-digit whole number which can be used to write  Jupiter's mass using a one-digit whole number times a power of 10.

The powers mean the exponential powers

Jupiter is the fifth and the largest planet in the Solar System.

The mass of Jupiter has been calculated to be 1.9 × [tex]10^{27}[/tex] kg

or this can be written as  1 898 130 yottagrams

A unit of mass equal to 1,000,000,000,000,000,000,000,000 grams. Symbol: Yg.

1 898 130 can also be written as 1.898 130 ×[tex]10^{6}[/tex] Yg

6 is a one-digit whole number that can be used to write  Jupiter's mass using a one-digit whole number times a power of 10.

The unit is yottagram

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Determine the period.

Answers

I believe it is 4.5. I may be wrong haven’t done this math in a while.

PLEASE HELP

What is the equation of the line?

Answers

Answer:

C. y=-1/2+1

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=-1/2

b=1

Hope this helps!

Please mark as brainliest if correct!

Pls need help fast!! I'll give brainliest

Answers

Answer:

Your Answer should be A Alternate interior Angles

Answer:

I believe the answer to this alternate interior angles.

This is because they are formed from opposite's sides of transversal.

Make x The Subject Of The Formula-
tx/q =y

HELP GUYS :((

Answers

Answer:

x = [tex]\frac{qy}{t}[/tex]

Step-by-step explanation:

[tex]\frac{tx}{q}[/tex] = y ( multiply both sides by q to clear the fraction )

tx = qy ( isolate x by dividing both sides by t )

x = [tex]\frac{qy}{t}[/tex]

Please add steps!! 100 points!!

Construct a line through P that is perpendicular to the line.

Answers

Using the perpendicularity concept, the perpendicular line is given at the end of the answer.

What are perpendicular lines?

Two lines are perpendicular, they intersect at and angle of 90º. Hence, for this problem, to construct a line through P that is perpendicular to the line, we just need to draw a line crossing P at an angle of 90º.

Thus, the perpendicular line is plotted at the end of the answer, with a line inserted crossing P at an angle of 90º.

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cuánto es "3x+1=7+5x" ?

Answers

Answer:

-3

Step-by-step explanation:

3x+1=7+5x

-3x+1=7+-3x

1=7+2x

-7=-7+2x

-6=2x

-6/2=-3

-3=x

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