During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1​

Answers

Answer 1

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.


Related Questions

If you change something about an atom, you change the type of element it makes.

A. True

B. False

No links​

Answers

Answer:

B

Step-by-step explanation:

Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.

Hope that helps

A pancake recipe calls for 4 eggs and 12 cups of flour. How many cups of flour would you need for a single egg?

Answers

Answer:

3

Step-by-step explanation:

i'd say 3

i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want

good luck! <3

what's the interior angle of a regular octagon (eight sided shape) ?
please help asap

Answers

Answer:

135 degress

Step-by-step explanation:

what is 3x + 4y = 10

6x - 4y = 8

Answers

Answer:

x=2

y=1

Step-by-step explanation:

9x+0=18

so it's x=2

6=4y=10

so y=1

the LCM and GCF of 66 and 101

Answers

Answer:

GCF: 1

LCM: 6,666

Step-by-step explanation:

I hope this helps!

A carton of a orange juice is in the sahpe of a cuboid. It has a height of 20cm lenght of 12cm and depth of 8cm. The depth of the orange juice is 6cm.the carton is turned so that it stands the shaded face.Work out the depth of the orange juice.

Answers

Answer:

4cm

Step-by-step explanation:

The area of the base will be doubled 60[tex]cm^{2}[/tex] to 120[tex]cm^{2}[/tex]


Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is
needed?
Show work !

Answers

Answer:

7 7/8 cups of flour

Step-by-step explanation:

2.25 times 3.5 equals 7.875

can somebody help me

Answers

ANSWER: $2.00 in all the rounded cost,
$10 for apple, $8 for oranges, $6 for bananas, and $24 total

EXPLANATION:

First let’s round round to the nearest dollar.

Apples cost 1.75 for a pound, that rounded is 2.00

So $2.00 is the estimated amount.

Oranges cost 2.35 per pound. That rounded is 2.00

So the estimated amount is $2.00

Bananas cost 1.50 per pound. That rounded is also 2.00.

So the estimated amount is $2.00

Now we know that rounded amount we just multiply.

If apples cost about 2.00 per pound and she bought 5 pounds just multiply by 5.

2.00 x 5 = $10.00

She paid about $10.00 for apples

If she bought 4 pounds of oranges and one pound of oranges cost about 2.00, multiply 2 by 4.

2.00 x 4 = 8.00

She paid about $8.00 for oranges.

If bananas cost 2.00 per pound and she bout 3 pounds, multiply by 3.

2.00 x 3 = $6.00

She paid $6.00 for bananas.

Now to find the total amount she spent add them all together.


$10.00
$ 8.00
$ 6.00
————-
$24.00


Hope this helps! If you have anymore questions just ask :)

21²/0.219 to 2 significant figures​

Answers

21^2/0.219 = 2013.69863
2 significant figures are the 20, so the answer is 2000
The answer is 2000…..

The diameter of the sun is about is about 1 390 000 km;

use scientific
notation to represent this diameter.

Answers

Answer:

1.39×10^6

Step-by-step explanation:

Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use

Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a total of $10,287.20, what was the simple interest rate of the loan?
85.5%
1.4%
16.9%
14.5%

Answers

The answer would be b, or 1.4%.

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Mr. Miranda acquired $8,800 for a considerable length of time at basic interest to pay for another pool. On the off chance that Mr. Miranda paid the bank a sum of $10,287.20.

The simple interest rate of the loan will be given as,

10,287.20 = 8,800 + [(8,800 x r x 12) / (100 x 12)]

1,487.2 x 100 = 88r

r = (1487.2 / 88) x 100

r = 0.169 x 100

r = 16.9%

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

Please help
Me solve this ASAP

Answers

Answer:

i dont know it looks complicated

Step-by-step explanation:

copy paste then search it, you might find it.

A 14​-oz iced tea at a certain restaurant has 140 calories. How many calories are there in a 22​-oz iced​ tea?

Answers

Answer:

220 calories

Step-by-step explanation:

Cross multiply and then divide:

[tex]\frac{14}{22}= \frac{140}{x}[/tex]

140 x 22 = 3080

3080 / 14 = 220

jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 1 hour

Answers

Answer:

1500 words

Step-by-step explanation:

300 times 5 equals 1500.

What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.

Answers

The required equation of a line perpendicular is y = x + 5

Given the equation y = -x + 2, the slope of the line is -1

The slope of the line perpendicular will be m  -1/-1  = 1.

Given the point (-1.5, 3.5)

Substitute the slope and the point into the point-slope form of the equation expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]

Hence the required equation of a line perpendicular is y = x + 5

Learn more on equation of a line here: https://brainly.com/question/19417700

A triangle has two sides of length 2 and 18. What is the largest possible whole-number length for the third side?

Answers

Answer:

19

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

18 - 2 < x < 18 + 2

16 < x < 20

Then the largest possible length of the third side is 19

Use the properties of operations to write an expression equivalent to 4x+1/2+2x-3. Please include explanations. Thanks!

Answers

Answer:

[tex]6x -2\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]4x + \frac{1}{2} + 2x - 3[/tex]              Addition of like terms

[tex]6x + \frac{1}{2} - 3[/tex]                      Addition of content terms  

[tex]6x -2\frac{1}{2}[/tex]

what does x equals to if 3( x + 7 ) =57

Answers

3(x + 7) = 57 |÷3

x + 7 = 57/3

x + 7 = 19 |-7

x = 19 - 7

x = 12

HELP!!!

7 + y = ‐2

Please solve this WITH your math please don't just post the answer! Whoever does this first will get brainliest!

Answers

Answer:

y=-9

Step-by-step explanation:

7+y=-2

subtract 7 on both sides

Answer:

y= -9

Step-by-step explanation:

This is a one-variable equation.

7+y= -2

We can subtract 7 from both sides to isolate y

7 + y - 7= -2 - 7

After simplifying, we get

y= -9

Plz help brainiest to the correct answer!

Answers

Here’s the answer to your questions.

#1

Current temperature=0°C

Temperature before 1 hour

[tex]\\ \sf{:}\dashrightarrow 0+3°C=3°C[/tex]

#2

Temperature before 3h

[tex]\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C[/tex]

#3

Temperature before 4.5h

[tex]\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C[/tex]

The point (-5,0) is plotted on a coordinate plane.
What is the point of reflection when (-5,0) is reflected across the y-axis?
A-(0,5)
B-(-5,0)
C-(0,-5)
D-(5,0)

Answers

[tex]\huge\boxed{Hello! :)}[/tex]

We plot the point (-5,0) on the coordinate plane.

Then, we reflect it over the y-axis.

Remember the rule:

If a point has coordinates (x, y), and the point is reflected over the y-axis, the new point's coordinates are: (-x,y)

Let's use this rule now.

We reflect (-5,0) over the y-axis.

(-5,0)

The new point is: (5,0)

[tex]\huge\boxed{(5,0) \: is \: the \: answer. :)}[/tex]

(Option D)

[tex]\boxed{Felicitous\: Girlie\: here\: to\: help}[/tex]

Write the inequality that represents the solution set to the given inequality below.

|x−3|<15

Group of answer choices

12 x>−18


−12>x>18

Answers

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

--
△XYZ = △KLM,m Find m

Answers

Answer:

<m is equal to the measure of <Z

_______________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning form them:)

What is the solution to the system of equations?

Answers

Answer:

a set of values for the variable that satisfy all the equations simultaneously.

Step-by-step explanation:

search it

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828. If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain your answer. Company A: Using linear regression models from both data sets, she determines that it pays about $14 more. Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more. Company B: Using linear regression models from both data sets, she determines that it pays about $10 more. Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

Answers

Answer:

86 & tends to increase

Step-by-step explanation:

Goodluck :)

Answer:

Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

Step-by-step explanation:

C/3

please help i'm stuck and it's a unit test if correct i will give brainiest
Which inequality represents this statement?
A number is no more than 5.

a. n≥5

b. n<5

c. n>5

d. n≤5

Answers

Answer:

d. n≤5

Step-by-step explanation:

This is the answer

Answer:

D) n≤5

Step-by-step explanation:

No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.

Archie and Michael are helping their friend George move the washers and dryers from his laundromat to a larger building. Archie's truck is carrying three washers and four dryers that have a combined mass of 1260 kg Michael's truck is carrying two washers and three dryers that have a combined mass of 880 kg.
How much does one of George's washers weigh?​

Answers

Answer:

A

Step-by-step explanation:

Yes

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


A 25 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
30:1
5:1
3:1
2:1

Answers

Answer:

5:1

Step-by-step explanation:

ASAP help 50 points Please hurry

Answers

Answer:

Step-by-step explanation:

Y=7

Let it be x

[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{150+150}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{300}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{2}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{1}{140}[/tex]

[tex]\\ \sf\longmapsto x=140ft[/tex]

Write the equation for the line in slope intercept form

Answers

Answer:

y = -x + 5

Step-by-step explanation:

lmk if you want an explanation

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