A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?​

Answers

Answer 1

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.


Related Questions

THIS IS VERY IMPORTANT I WILL GIVE BRAINLIEST TO THE PERSON WHO DOES ALL 5 QUESTIONS FOR ME.

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Answer:

Step-by-step explanation:

406525%

Answer:

Q1; 40

Q2; 65

Q3; B (25)

Q4; A (?)

Q5;  63

Step-by-step explanation:

I believe

Calculating Circumference

Answers

Circle A is r=1.5 d=3 c=9.42478
Circle B is r=5 d=10 c=31.41593
Circle C is r=2.25 d=4.5 c=14.13717
Circle D is r=3 d=6 c= 18.84

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Answers

What angle do u need to know?

A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point (-15, __ ) lies on this circle

Answers

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

40 points. Factor the following polynomial.

49y2 – x2
A.
(7y – x)(7y + x)
B.
(7y + x)2
C.
(7y – x)2
D.
does not factor

Answers

Answer:

A

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

What is the surface area of the sphere in terms of pie?
(Answer only with right answers no links or you’ll be reported)

Answers

Answer:A

Step-by-step explanation:

because A= pi r2

A= pi 5 two

A=25 pi

Simplify square root of .49x^18 where x<0

Answers

Answer:

-.7x^9

Step-by-step explanation:

The solution of the expression 49x¹⁸ will be 7x⁹.

What is a radical expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The radical sign, which may be read as either the nth root of x or x radical n, expresses the root of a number. The vinculum, or horizontal line that encircles the number, and the radicand, or number beneath it, are both technical terms.

The given expression is 49x¹⁸. The value of the expression will be solved as:-

E = √( 49x¹⁸)

E = √ (7² x x¹⁸ )

E = 7x⁹

Therefore, the square root will be equal to 7x⁹.

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Use a net to find the surface Area of the square pyramid The height of the pyramid is 9 yes and the base sides are all 2.5 yrds and its a square as a base

Answers

Answer:

[tex]Area = 51.68yd^2[/tex]

Step-by-step explanation:

Given

[tex]h = 9yd[/tex] -- height

[tex]a = 2.5yd[/tex] --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

[tex]Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}[/tex]

So, we have:

[tex]Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}[/tex]

[tex]Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{1.5625 + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{82.5625}[/tex]

[tex]Area = 6.25 + 5* 9.086[/tex]

[tex]Area = 51.68yd^2[/tex]

A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?

Answers

Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

This is more question of math

Answers

Answer: 7 I think

Step-by-step explanation:

My Classes
illi
MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?

Answers

Answer:

1/12

Step-by-step explanation:

need help pls , 20 points
no links or else I will report

Answers

Answer:

x=72

Step-by-step explanation:

x=3/4x+18

4(x=3/4+18)

4x=3x+72

x=72

Answer:

18² + (3/4x)² = x²18² = x² - 9/16x²18² = 7/16x²x² = 16*18²/7x = 72/√7x ≈ 54.42

You and your friend each have a canvas of the same size. You divide your canvas into 5 sections and paint 3 of them. Your friend divides her canvas into 7 sections and paints 4 of them. Who paints more?

Answers

The one one paints 3/5, you would find a common denominator and it would be 21/35 and 20/35 so “you”

The person who paints more is given by the inequality equation 3/5 >  4/7

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of canvas be 35 ( LCM of 5 and 7 )

Now , when you divide 35 into 5 sections and paints 3 of them ,

The fraction A = 3/5

And , when your friend divide 35 into 7 sections and paints 4 of them

The fraction B = 4/7

And , the inequality equation is A > B

Substituting the values in the equation , we get

3/5 > 4/7

Hence , the one who paints more is you with 3/5 of the canvas

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3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?

Answers

Answer:

Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.

What is the difference between trigonometric identity and equation?

A trig identity is an equation that is true for all values of x;

For example:

sin²x + cos²x will always equal 1 no matter what the value of x.

There are some equations considered to be identities that are in fact not true all the time.

tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).

A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.

For example:

sin²x - 1 = 0 is only true for some values of x.

sin²x = 1

sinx = ±√(1) = ±1

sinx = 1 or sinx = -1

x = sin-11 or x = sin-1(-1)

x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).

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Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?

Answers

Answer:

16 cups of sugar

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

So our ratio here is 2:3. Here's what we're gonna do:

2 + 3 = 5 for every time he makes the recipe

40 / 5 = 8

To double check:

2 x 8 = 16

3 x 8 = 24

16 + 24 = 40

25 points need ASAP
Write and solve a proportion to answer the question.

17 out of 25 marbles in a bag are red. What percent of the marbles are red? Show work,


-Answers for the points will result in a report-

Answers

Answer:

68%

Step-by-step explanation:

17 divided by 25 =0.68

make the decimal into a precent

Answer:

5℅

Step-by-step explanation:

Hope I helped, have g'day!

Choose the inequality that represents the following graph.

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The arrow is pointing to the right which means its greater than, and the circle is open so it doesn't include 4

If the Kahn family brings in $5,000 each month and their housing is 32% of their monthly budget.
How much is their housing/mortgage?

Answers

Answer:

Their Hosing/Mortgage is $1,600

Step-by-step explanation:

5,000 / 100 = 50

50 x 32 = 1600

What is the value of x in the equation 8 + x = 3?

A. −5
B. 5
C. 11
D. 24

Answers

Answer:

I think it's A

I hope this helps

A

Because if you subtract 8 from 3 you get -5

A triangle has two sides of length 14 cm and 21 cm. Which of the following could represent the length of the third side of the triangle? Select all that apply. 5 cm 15 cm 25 cm O 35 cm 45 cm​

Answers

Answer:

im doing the quiz rn, and im pretty sure its only 5cm

Step-by-step explanation:

because 5 cm is the only one that is smaller than the combination 14 + 5<21

and thats technichly what you looking for cuz 14+ 15>21

You find a piece of wood that is 10.23 cm long and your friend finds on ethat is 17.65 cm long how long would they be if you attached them?

Answers

Answer:
27.88

Explanation:
10.23 + 17.65 = 27.88

Hope this helps!!

By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.

Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.

Given that,

The length of your wood = 10.23

The length of your friend's wood = 17.65

Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".

In this case,

x = 10.23 cm

y = 17.65 cm.

To find the total length when they are attached,

Add the lengths as

x + y = 10.23 cm + 17.65 cm

Now, calculate the sum:

x + y = 27.88 cm

Hence,

If you attach the two pieces of wood, the total length would be 27.88 cm.

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Please I need help ASAP

Answers

This is an exponential table

PLEASE SOMEONE HELP ME ASAP!!!!! I’ll mark brainliest

Answers

Answer:

the first choice

Step-by-step explanation:

the first number is the tens place and the second number is the ones place so:

0,0,11,15...

I need an answer! NO LINKS PLS! il give brainlist

Answers

C) 12 would be correct.

The more the better! Mark with crown please!

Which is the best simplification of (2^4 x 3*2)/(2 x 3)?

Answers

Answer:

16

Step-by-step explanation:

Solve x + 20 = 24.
The solution is x =

Answers

Answer:

4

Step-by-step explanation:

24 - 20 = 4

It’s would be x=4 because 20+4=24

Hey can you help me fast!!!

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Answer:

40 square feet

Step-by-step explanation:

I gotcha bro

4 x 12 = 48

48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40

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Answer:

HUh? LOL

Step-by-step explanation:

Answer:

rnfjewjsknfkrngejabjfkba re

Step-by-step explanation:

Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5

Answers

Answer:

3g -13

Step-by-step explanation:

is x²-x divisible by 2?​

Answers

Answer:

Yes

Step-by-step explanation:

There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.

Answer:

Step-by-step explanation:

No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.

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