A car travels around a circular track of radius 1.5 miles. It traversed35of a complete revolution. Howfar did it travel?

Answers

Answer 1

Answer:

The total distance traveled by the car is 330 miles.

Step-by-step explanation:

The circular track is the circumference of circle with radius 1.5 miles.

Circumference of a circle = 2[tex]\pi[/tex]r

Thus,

Circumference of the track  = 2 x [tex]\frac{22}{7}[/tex] x 1.5

                           = 9.4286571429

Circumference of the track = 9.4286571429 miles

But, one complete revolution by the car is the circumference of the track.

i.e One complete revolution round the track = 9.4286571429 miles

Therefore,

35 complete revolutions round the track = 35 x 9.4286571429 miles

                                       = 330 miles

The total distance traveled by the car is 330 miles.


Related Questions

is -3/7 a rational or irrational number?

Answers

Answer:

rational

Step-by-step explanation:

it can express as a ratio of two numbers, therefore it is rational. it wouldn't be rational if it was for example 0.333333 that goes on forever.

Simplify the following expression where b = -2 and z = 6

4(−2−7)+3

Answers

There is a typo here. We cannot evaluate the given expression if there is no b and z to replace with the given values. Get it?

Triangle ABC is transformed to triangle A' B'C', as shown below:
B
-4 CA-2-10
26
3 4
A
Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point)
mZCAB = mZC'B'A'
mZBCA = MZA'B'C'
OmZCAB = mZC'A'B'
OmZBCA = mZC'A'B'

Answers

OMZBCA=MZCAB that the one

There are 2 answers for this
(Please use a comma to separate them)

Emma got 90% of the questions on her history test correct if she answered 27 questions correctly, how many questions did Emma get wrong?

There were (A) questions on the test so she got (B) questions wrong

Answers

Answer:

There were 30 questions on the test so she got 3 questions wrong.

Step-by-step explanation:

Given that:

Correct answers by Emma = 27

Percentage of correct answers = 90%

Let,

x be the total number of questions on test

90% of x = 27

[tex]\frac{90}{100}x=27[/tex]

[tex]0.9x=27[/tex]

Dividing both sides by 0.9

[tex]\frac{0.9x}{0.9}=\frac{27}{0.9}\\x=30[/tex]

There were 30 questions on the test.

Wrong answers = Total questions - Correct answers

Wrong answers = 30-27 = 3

Hence,

There were 30 questions on the test so she got 3 questions wrong.

Three machines are used to produce nails. the table displays the total number of nails produced by the three machines over different lengths of time

Answers

Answer:

Step-by-step explanation

they answer would be a whole number because you are multiplying by one thousand

Using the principle of proportionality, the number of nails that will be produced by 1 machine in 1 hour is [tex] 21 \frac{3}{5} \: thousand [/tex]

Let :

Number of machines = mNumber of nails produced = nTime taken = t

Using Principle of variation :

Number of machines α nails produced α 1/time

[tex] m = \frac{kn}{t} [/tex] ; where k = constant of proportionality

Using a row from the table :

t = 15 ; n = 81/5

3 = (81/5)k / 15

Cross multiply :

3 × 15 = (81/5)k

45 = (81/5)k

Divide both sides by (81/5) to isolate k

(45 ÷ 81/5) = k

k = (45 × 5/81) = 25/9 = 2.7777

Substituting the value of k into the expression:

[tex] m = \frac{\frac{25}{9}n}{t} [/tex]

We can use the expression to obtain, the value of n ; when m = 1 and t = (1 hour = 60 minutes)

[tex] 1 = \frac{\frac{25}{9}n}{60} [/tex]

[tex] 60 = \frac{{25}{9}}{n}[/tex]

Divide both sides by 25/9 to isolate n

[tex] 60 \times \frac{9}{25} = n [/tex]

[tex] n = \frac{540}{25} = 21 \frac{3}{5} \: thousand \: nails [/tex]

Learn more :https://brainly.com/question/13218948

Identify the vertex of
y = 2x2 − 4x − 2

Answers

vertex at

(

1

,

4

)

Explanation:

Given:

y

=

2

x

2

+

4

x

2

Convert the given form into "vertex form"

y

=

m

(

x

a

)

2

+

b

with vertex at

(

a

,

b

)

XXX

y

=

2

(

x

2

+

2

x

)

2

complete the square

XXX

y

=

2

(

x

2

+

2

x

+

1

)

2

2

XXX

y

=

2

(

x

+

1

)

2

4

XXX

y

=

2

(

x

(

1

)

)

2

+

(

4

)

which is the vertex form with vertex at

(

1

,

4

)

graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0

The answer is (1,-4)

$40 game; 30% off; 5% tax

Answers

Yo dude that’s cool where can I get it

What are 1/2 and 2/4 as a decimal?

Answers

Answer:

0.50 or 0.5

Step-by-step explanation:

Answer:

1/2= 0.5  2/4=0.5

The reason for this is because both questions are half a fraction, so both of them would be half a decimal  

Step-by-step explanation:

The ratio of blue chairs to red chairs in Ms. Vickers' class is 2 to 5. Which of the following cannot represent the total number of chairs in Ms. Vickers' class? A 14 C 28 B 20 D 35​

Answers

Answer:

I would say B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

if a store is selling 3 bottles of water for $3.24. how much would 8 bottles of water cost

Answers

Answer:

$8.64

Step-by-step explanation:

Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.

The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. If there are 461 households in the community, about how many of them have electric bills less than $200?

A. 45
B. 21
C. 95
D. 81

Answers

95 households have electricity bills of less than $200. Option C is correct.

Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.


probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) =  [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) =  (200 - 245)/55
                = --45/5
                = -0.818181
p < 200 = 0.206 (from z table)

Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95

Thus, 95 number of household have electricity bills of less than $200. Option C is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2


​​​​​​Write an equation to describe this situation using decimals. “Tessa bought x pounds of almonds. Lark (y) bought more than that”. PLEASE HELP!

Answers

Answer:

y = 1.6x

Step-by-step explanation:

y is the total amount/pounds of almonds that Lark bought. x is the amount that Tessa bought. 3/5 is the same as 0.6. If we multiplied Tessa's amount by 0.6 it would decrease by 2/5 so we have to add 1 to make it 1.6. To find how much Lark bought multiply 1.6 and Tessa's amount.

Answer:

how many 35 (x) did molly purchase, for 5 (y) weeks.

Step-by-step explanation:

I chose this because each number represents a different volume , it also makes a good answer, comment or repsond if i am wrong.

Help!!!! I have no idea how to even begin this

Answers

Answer:

y=-7x+3

since the formula is y=mx+b where m is the slope and b is the y-intercept.

The answer is y=-7x+3

which function represents the relationship between x and y when y=16/5 and x=20 ​

Answers

Answer:

y = (4/25)x

Step-by-step explanation:

We are given;

y = 16/5 and x = 20

Now if y varies directly with x, then we can say;

y = mx

Where m is constant of proportionality

This means that;

16/5 = 20m

Divide both sides by 20 to get;

(16/5) × 1/20 = m

16/100 = m

m = 4/25

Thus,the equation is:

y = (4/25)x

Given the points a ( -2,4 ) and b(7,-2) find the coordinates of the point p on the directed like segment ab that partitions ab in the ratio 1:2

Answers

9514 1404 393

Answer:

  p = (1, 2)

Step-by-step explanation:

We want ...

  (p -a)/(b -p) = 1/2

  2(p -a) = b -p . . . . . cross multiply

  3p = b +2a . . . .. . . rearrange

  p = (b +2a)/3

  p = ((7, -2) +2(-2, 4))/3 = (7 -4, -2 +8)/3 = (3, 6)/3

  p = (1, 2)

I need help again
I am
Sorry

Answers

Answer:

x = 171.16 - 5.8

x = 165.36

please give me brainlist

Step-by-step explanation:

Answer:

165.36 is Pete's height

Step-by-step explanation

You have to subtract 5.8 by 171.16 and that will be Pete's height.

Jdudjdjdjkdjdkxkdjndjd

Answers

4
8
12
16
20
Continuous
Domain is (0,8)
Range is (4,20)

If this is incorrect please let me know!! Hopefully this helped

If xy =1 show that dy/dx=-1/x²​

Answers

If xy = 1, then differentiating both sides with respect to x gives

x dy/dx + y = 0

(use the product rule)

Solve for dy/dx :

dy/dx = -y/x

Solve the starting equation for y and substitute that into the derivative.

xy = 1   →   y = 1/x

→   dy/dx = -(1/x)/x = -1/x²

Identify the radius of the circle.
Help ASAP pls!!!
*its hw*!

Answers

The radius is EG because it’s half the length of the circle.

THESE ARENT MY PHOTOS but my answers are the exact same. pls help with the rest plsplspslpslpslpslplsp

Answers

Answer:

Can u add pictures of the rest?

Step-by-step explanation:

The number 63 is how many times the number 21?

Answers

Answer:

3

Step-by-step explanation:

cause 63 divided by 21 is 3.

Answer:

21 * 3 = 63

Step-by-step explanation:

The surface area of a cone is determined by the equation

Answers

Answer:

This question is incomplete

Step-by-step explanation:



4(5 – w) = –2(2w – 3)

Answers

W = 13/4 :)))))))))))))

please help!! :)

find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

7x12x13=1092

Step-by-step explanation:

The mixed number 9 14/100 is equivalent to 9.14.

True or False?

ANSWER TO GET 20 POINTS

Answers

Your answer is True !:)

Answer:

true

Step-by-step explanation:

Two planes take off from the same airport at approximately the same time. Plane A has an airspeed of 600 mph
and travels in the direction S 20° W. Plane B has an airspeed of 450 mph and travels in the direction N 35° E.
Which diagram represents the distance, x, between the planes?

Answers

Answer:

B

Step-by-step explanation:

edge 2020

Answer: option B

Step-by-step explanation:

edge 2023

One person is chosen from a class of students here are some possible outcome

a) The person is over to 14 years old.

B)the person is less than 12 years old

C)The person is a female

D)the person is a male

For Each of these statements decide whether it’s true ‘ false ‘ or you can’t tell

A and B are mutually exclusive

A and C are mutually exclusive

C and D are mutually exclusive

Answers

I think is A and the another question is B

Can someone help me with this question please and thank you

Answers

Answer:

The complete table will be:

x        y

1        5

0.8    4

0.4    2

Step-by-step explanation:

Given rule is:

y = 5x

In the given rule, x is multiplied by 5 to get the values of y. The same rule can be manipulated to find the value of x in terms of y.

[tex]\frac{y}{5} = \frac{5x}{5}\\x = \frac{y}{5}[/tex]

Putting y = 5

[tex]x = \frac{y}{5}\\x = \frac{5}{5}\\x = 1[/tex]

Putting y = 4

[tex]x = \frac{y}{5}\\x = \frac{4}{5}\\x = 0.8[/tex]

Putting y = 2

[tex]x = \frac{2}{5}\\x = 0.4[/tex]

Hence,

The complete table will be:

x        y

1        5

0.8    4

0.4    2

Please help, I only have 30 minutes left...

Answers

Answer:

(2,-1)

Step-by-step explanation:

hope i helped <3

Answer:

(2,-1)

Step-by-step explanation:

That is the answer becasue the x-axis is 2 and the y-axis is -1

I know I put An answer I don’t know if that’s it I just accidentally put it

Answers

Answer:

38

Step-by-step explanation:

Answer:

the answer is 36ft² or c

Step-by-step explanation:

hope this helps :)

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