Sophie and Isadora ride around a circular track that has an inner radius of 30 m. The track is 2 m wide and Isadora rides along the outer lane. How much further does Isadora ride than Sophie, In one lap? Is any one else as confused as I am?

Answers

Answer 1

it’s just the difference in circumferences, so it’d be
S = 2 Pi r
S = 2 * 3.14 * 30
S = 188.4m

I = 2 Pi r
I = 2 * 3.14 * (30 + 2)
I = 200.96m

I - S = 200.96 - 188.4
= 12.56m

Therefore, Isadora had to ride 12.56m more than Sophie

Related Questions

V = LWH solve for the variable w

Answers

Answer:

w=v/lh

Step-by-step explanation:

V=LWH
Circle W
Now divide LH from V
W=V/LH
That’s the answer!

The volume of a right circular cone is 45 cubic centimeters, and the radius of
the base is 3 centimeters. What is the height of the cone in centimeters?

Answers

Answer:

5cm

Step-by-step explanation:

Given parameters:

Volume = 45cm³

Radius = 3cm

Unknown:

Height of the cone = ?

Solution:

Volume of cone is given as ;

V = [tex]\frac{1}{3} \pi[/tex] r² h

r is the radius

h is the height

45 = [tex]\frac{1}{3} \pi[/tex]x 3² x h

45 = 3π x h

h = [tex]\frac{45}{3 x3.142}[/tex] = 4.77cm

5cm is the closest answer choice

PLEASEEEE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:distributive

Step-by-step explanation:

which is the best estimate for this expression ?
a) 300
b) 40
c) 3
d)0.4

Answers

Answer:

Step-by-step explanation:

Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days

Answers

Answer:

Step-by-step explanation:

Paul: 54.6/18.2= 3 days

Ryan: 81.6/20.4= 4 days

Answer:

B. 1 day

Step-by-step explanation:

First, we need to find how many days each person practiced for:

Paul- 54.6 ÷ 18.2 = 3

Ryan- 81.6 ÷ 20.4 = 4

4 - 3 = 1, so B is the answer.

I hope this helped, please mark Brainliest, thank you!

When Rhonda was 12, her grandmother made her a quilt. Each pattern in the quilt contained 126 quares. The
pattern was repeated 8 times to make the entire quilt. How many squares were in Rhonda's quit?

Answers

Answer:

B. The quilt consisted of 1,008.

Step-by-step explanation:

You take the initial number of squares the quilt had, which was 126. If that number was repeated 8 times for the entire quilt you would have to take 126*8 and the answer would be 1,008.

If this helped you please click the thanks button.

Thank you and good luck! :-D

What is the y-intercept of the line 3x – 4y = 24?

Answers

Answer:

-4 becuase when you graph it the y intercepts at -4

Step-by-step explanation:

Answer:

y-intercept: (0,-6)

Step-by-step explanation:

To find the y-intercept of an equation you make x equal to 0 and we get the equation -4y=24 when we solve that equation by dividing by -4 from both sides and we get our y which is -6.

Hope this helps you :)

______ terms are also expressions. (please fill in the blank)
A. No
B. All
C. Some

Answers

Answer: The answer is some

I know this because I go to Harvard

Answer:

The answer is some

Find the distance between -12 and 25

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can use absolute value to solve this. l-12l+l25l=12+25=37

Absolute value is the distance from 0.

I’ll give the Brainliest to who answers this question with a reasonable explanation.

Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.

A) Buying 8 oz for $3.47 is the better buy.

B) Buying 6.2 oz for $2.97 is the better buy.

Thank you!

Answers

B- because you only get 1.8 ounces more than the 6.2 for 50c which if you divid 2.97 and 6.2 its less than 50c.
Not sure if its right-

Can someone help me???

Answers

30 for the first and 83.5 for the second

0.7,7/9,7/8 order least to greatest

Answers

0.7, 7/9, 7/8 already in the order.

PLS ANSWER NO MESSING AROUND PLSSSSSS TWO PEOPLE ALREADY FAKED IT

Answers

Answer:

Step-by-step explanation:

1). 3

2). $23.63

3). 18.1 seconds

22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer:(

(-4,-3)

Step-by-step explanation:

You get the negative and subtract from y1 and y2 and then ad x1 with the result of the subtraciton. : ) hope this helps!

A car with a mass of 500 kg is accelerating at 10 m/s². What is the force being applied the car’s engine?

Answers

Answer:

M=500kg

a=10m/s^2

By formular:

F=ma

F=500*10

F=5000N

How would you graph the solution to 3x ≤ -15?

Answers

Answer:

I would put a shade over the region of x <= -5.

Step-by-step explanation:

The look of the graph would be a shaded rectangle over the line x = -5.

Hope this helped!

Answer:

Draw a closed circle on -5 and shade to the left

Step-by-step explanation:

Giving 100 points if someone can answer this correctly...

x³+y³+z³=42

What is x y and z multiplied by 9.08 * 10³

this question is dumb. you should be able to get it

Answers

Answer:

3813.6

Step-by-step explanation:

90.8 x 42 = 3813.6

solve equation by factoring 8x^2-8x=0

Answers

Answer: x= 0 or x= 1

Step by step:

Step 1: Factor left side of equation.

= 8x (x – 1) = 0

Step 2: Set factors equal to 0.

= 8x = 0 , x = -1 = 0

= x = 0 , x = –1

PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

Answer are at the bottom!

Step-by-step explanation:

First equation: y=5x

Second equation: y=5.5x

Unit rate:

x/5.5

5.5/5.5

x/1

Hope this helps!

which of the following terminating decimals is equivalent to -1 3\4

Answers

Answer:

Step-by-step explanation:

-1 3/4 = -1.75.

Topic: Integrals
Subject: Calculus

If anyone could help I’d appreciate! I will certainly award points and give brainliest answer ASAP!! I promise :)

Answers

9514 1404 393

Answer:

11 7/16

Step-by-step explanation:

The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...

A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4

The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...

A = (1/2)(5)(15/8) = 75/16 = 4 11/16

Then the total area, the value of the integral, is ...

6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral

Give your answer in simplest form.

Answers

Answer:

The answer is -1

Step-by-step explanation:

PLEASE MARK BRAINLIEST IT WILL HELP SM

And if you are looking for more help go to math-way

Answer is 1
Start to solve in the brackets first and then do the exponents and then do the rest
In short ur bedmas
Where
B means brackets
E means exponent
D division
M multiple
A addition
S subtract

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?
a. (♾,-21)
b. (♾, -21)
c. (-21,♾)
d. (21,♾)

Answers

Answer:

Step-by-step explanation:

i honetsly think

Which of these expressions shows unlike terms?

Your answer:

2x +7x

2x+2y

2(x+1)

3x+1x

Answers

Answer:

2x+2y

Step-by-step explanation:

x and y are unlike terms, and the only unlike terms in this list. you cannot add them together – therefore, 2x+2y is the answer you seek.

What is the slope of the line represented by the equation 3x - 2y=5

Answers

Answer:

m = 3/2

General Formulas and Concepts:

Pre-Alg

Equality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define function

3x - 2y = 5

Step 2: Rewrite

Subtract 3x on both sides: -2y = 5 - 3xDivide -2 on both sides: y = -5/2 + 3/2xRewrite: y = 3/2x - 5/2

Step 3: Identify

Slope m = 3/2

y-intercept b = -5/2

If there are 63 butterflies in 3 gardens, how many butterflies are in 2 gardens?

Answers

Answer:

Step-by-step explanation:

63 divided by 3 first because you need to break each group down into equal gardens with the same amount of butterflies.

now you have 21 you need to multiply with the number 2 because you need to know how many butterflies are in two gardens

and now you get 42

What is the slope of the line through (3,7) and (-1,4)

Answers

Answer:

[tex]m=\frac{3}{4}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (-1, 4)

Step 2: Solve for slope m

Substitute: [tex]m=\frac{4-7}{-1-3}[/tex]Subtract: [tex]m=\frac{-3}{-4}[/tex]Simplify: [tex]m=\frac{3}{4}[/tex]

Answer:

4/3

Step-by-step explanation:

Use the formula rise/run. But first, if you plot this on a graph, (-1,4) will come first because its x value is smaller. So, for this, let's look at (-1,4) first.

To get from -1 to 3, you must rise 4 units. To get from 4 to 7, you must run 3 units.

So, if you put this together, you will get 4/3!

Hope I helped!!!!

Is there another way to convert fractions to decimals?

Answers

One way is just to divide the numerator by the denominator.

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.

Answers

Answer:

Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

Hope this helps bb's!!

Lots of love and peace your way!! <3

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

What are translation and rotation?

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

The image of the triangle translation is attached with the answer below.

Answers

Answer:

The estimated product is 52.

Step-by-step explanation:

0.62 is 0.38 away from one and 0.12 away from 0.5. Since it's closer to 0.5, we'll round it to that. 104 doesn't need to be rounded because it's a whole number. So, 1/2 of 104 is 52. The estimated product is 52

Hope this helps! :)

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