How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 10 inches long?

Answers

Answer 1

Answer:

20.95 inches

Step-by-step explanation:

The complete revolution of the minute hand forms a circle in 60 minutes.

circumference of a circle = 2[tex]\pi[/tex] radius

i.e C = 2[tex]\pi[/tex]r

But from the question, r = length of the minute hand = 10 inches

⇒ C = 2[tex]\pi[/tex] x 10

  = 20[tex]\pi[/tex]

C = 20[tex]\pi[/tex] inches

Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.

So that,

the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C

                                                                     = [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]

                                                                     = [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]

                                                                     = 20.9524

                                                                     = 20.95 inches

Thus, the distance of the tip of the minute hand is 20.95 inches


Related Questions

plese help
plese
plese

Answers

B 25% percent because 15/60 is 25
Answer: C
15 seats were empty, so 45 out of 60 seats were taken. 45 divided by 60 is 0.75, which is 75%

How many hundreds are in 200 + 10 + 6

Answers

Answer:

Two.

Step-by-step explanation:

200 + 10 + 6 = 216

216 divided by 100 is 2.16

Therefore there are two hundreds in 200 + 10 + 6

Which of the following is a biconditional statement?
Question 17 options:

A)

If x ≠ 5 then x2 ≠ 25

B)

If x2 = 25, then x = 5 or x = –5

C)

x = 5 if x2 = 25

D)

x = 5 if and only if x + 5 = 10

Answers

It is D

I just took the test and got it right

The biconditional statement is x = 5 if and only if x + 5 = 10.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Biconditional statement.

This means,

The statement and its converse are both true.

Now,

x = 5 if and only if x + 5 = 10

This shows that both the statement and its converse are true.


Thus,

x = 5 if and only if x + 5 = 10 is a biconditional statement.

Learn more about expressions here:

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How many cups are in 3 gallons? 1 gallon = 16 cups
Label your answer in cups.

Answers

Answer:

48 cups

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

Usually, I would do the four cups in one gallon thing. This time, I don't need to because we already know how many cups there are in one gallon. Just multiply 16 by 3 to find how many cups.

= 16 x 3

= 48

Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal

Answers

Answer:

here

Step-by-step explanation:

Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.

Answer:

Angle PQR measures 40 degrees

Step-by-step explanation:

No explanation took the test got it right.

Little late but, oh well, better late than never.

x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution

Answers

here x+3y=13

x=13-3y.....1st equation

-3x+2y=27......2nd euation

now putting the value of x from equation 1st in 2nd we will get

-3(13-3y)+2y=27

-49+9y+2y=27

11y=27+49

y=76÷11

y=6.9

now again putting the value of y in equation 1st we get

x=13-3×6.9

x=13-20.7

x=7.7

Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken? StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Which equation matches the function described in Table

Answers

Answer:

The answer is A

Step-by-step explanation:

A because it's simply adding by 4 on the right-hand side.

Please help and leave a small explanation if u want brainliest :)

Answers

Answer:

B is true

Step-by-step explanation:

ratio of all corresponding sides are equal

Answer:

B) Triangle ABC is similar to triangle EFG

Step-by-step explanation:

they are similar eve tho they are not the same size. But they arnt congrent cause they are diffrent sizes.

Find the distance between the points (-3, -6) and (1, -2).

Answers

Answer: -3 - 1 = -4

Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.

What's the slope and y-intercept?
Help please!!!

Answers

Answer:

slope of fig 1st(m)= 1/4

y-intercept of 1st fig=-1

slope of fig 2= -1

y-intercept of 2nd fig=2

Step-by-step explanation:

Help and please do not report I got an practice thing from my tutor, so it's not a quiz.

Answers

Answer:

The answer is D. II 1 > -2 and III -2< 1 Hopefully this is helpful!

Step-by-step explanation:

Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?​

please include and explantation

Answers

Answer:

????

Step-by-step explanation:

 

Consider random samples of size 900 from a population with proportion 0.65 . Find the standard error of the distribution of sample proportions.

Answers

Answer:

The value is [tex]\sigma_{p} = 0.022[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  900

    The population proportion is  [tex]p = 0.65[/tex]

Generally the standard error of the distribution of sample proportion is mathematically represented as

       [tex]\sigma_{p} = \sqrt{\frac{ p(1 - p)}{ n} }[/tex]

=>     [tex]\sigma_{p} = \sqrt{\frac{ 0.65 (1 - 0.65 )}{ 900} }[/tex]

=>     [tex]\sigma_{p} = 0.022[/tex]

Lin swims 10 laps in the pool in 25 minutes.
How many minutes per lap is that?
I am not good at math (о´∀`о)

Answers

Answer:

The answer is 2.5 minutes per lap.

Step-by-step explanation:

Divide the number of minutes by the amount of laps:

25/10 = 2.5

To check your answer, multiply 2.5 my the amount of laps.

2.5 x 10 = 25

I hope this helped you! If it did, please consider rating, pressing thanks, and/or giving my answer 'Brainliest.' Have a wonderful day. :)

Answer:

40 seconds per lap

Step-by-step explanation:

10 divided by 25 is 0.4

So im pretty sure the anser is 40 secounds

Sorry if im wrong- im not that great at math eaither I just used a calculator.

I can't help solve my friends problems,I got too much to do help him out please

Answers

Answer:

the ask a question about the question isnt working

Step-by-step explanation:

but can you zoom in its really glitchy and blurred from far away

Yeah I would also need it zoomed in please.

An ice cream shop ordered a box of 700 cones. When they opened the box, they noticed 164 of the cones were broken. How many cones do they have left? *

Answers

Answer:

The answer would be 536 cones.

Step-by-step explanation:

You have to subtract 164 from 700.

700-164=536.

Who ever gets it right gets a Brainliest

Answers

Answer:

im pretty sure thats a trench ;_;

Step-by-step explanation:

2l+2w for l = 5.2 and w = 6.7

Answers

Answer:

23.8

Step-by-step explanation:

2(5.2) + 2(6.7) = 23.8

Answer:

23.8 ...............

Step-by-step explanation:

I asked my alexa.

Multiply two and four-fifths negative five and two-thirds

Answers

The answer is -25/3.



If you need it simplified let me know.


After a 15% increase, a town has 115 people. What was the population before the increase?

Answers

Answer:

100 people

Step-by-step explanation:

Population Of People=115Percentagencrease=15%

The New Population corresponds to 115%

(That is 100+15)

We want to find the population that corresponds to 100% that is the original population.

Therefore Original Population;

[tex] \frac{100}{115}\times {115}{} [/tex]

[tex]100 \: people[/tex]

I need help with 10 please!!!!!!!

Answers

From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)

That means cut ( b ) and ( d ) choice, they both are wrong.

Now look at ( a ) and ( c ).

For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2).   f(x) = -2x is just slope and intercepts y-axis at (0,0)

So the answer is ( c )

Given the set of test scores: 71, 75, 80, 81, 81, 84, 89, 93. If a score of 50 is added to the data set, which statement is true? Select all that apply. Choose all that apply:
The mean decreases.

The median decreases.

The standard deviation increases.

The range increases.​

Answers

Answer:

The standard deviation increases, it's mean, medium and mode, if you put them in order and then go through and get your middle number it'll be 81.

If a score of 50 is added to the data set,

The standard deviation increases.

The range increases.​

What is mean?

"It is the average of all elements of the data set."

What is median?

"It is the middle number in a sorted list of numbers."

Formula to calculate the standard deviation:

[tex]SD=\sqrt{\frac{\sum{(x-M)^{2}} }{N} }[/tex]

where, SD is the population standard deviation

N : the size of the population

x : each value from the data

M : the mean of the data

Formula to calculate the range of the data:

range = maximum value - minimum value

For given situation,

Consider the original set of test scores: 71, 75, 80, 81, 81, 84, 89, 93

N = 8

range R = 93 - 71

⇒ R = 22

Mean M = (71 + 75 + 80 + 81 + 81 + 84 + 89 + 93)/8

⇒ M = 654/8

⇒ M = 81.75

Now, we find the median K

First we sort given data set: 71, 75, 80, 81, 81, 84, 89, 93

The middle numbers are 81 and 81

So, the median is the average of 81, 81

So, K = 81

Now, we calculate the standard deviation.

[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(89-81.75)^{2}+(93-81.75)^{2}] }{8} }[/tex]

⇒ SD = 6.61

Consider, the set of test scores with 50 added to the data set.

N = 9

range R = 93 - 50

⇒ R = 43

Mean M =  (71 + 75 + 80 + 81 + 50 + 81 + 84 + 89 + 93)/9

⇒ M = 704/9

⇒ M = 78.22

Now, we find the median K

First we sort given data set: 50, 71, 75, 80, 81, 81, 84, 89, 93

The middle number is 81.

So, the median is K = 81

Now, we calculate the standard deviation.

[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(50-81.75)^{2}+(93-81.75)^{2}] }{9} }[/tex]

⇒ SD = 11.76

So, we can observe that if a score of 50 is added to the data set, the correct statements are:

The standard deviation increases.

The range increases.​

Learn more about mean, standard deviation, median, range here:

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Fihd the area of the triangle.
6
8
square units

Answers

Answer:

area of triangle is

[tex]\frac{1}{2} * b*h\\\\\frac{1}{2} *6*8\\\\6*4=24[/tex]

e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.

Answers

Answer:

Step-by-step explanation:

Let width of rectangle =X

So length=5x

Given area of rectangle =320inch

Area of rectangle =length ×width

Length×width=320

5X×X=320

5x^2=320

x^2=320/5

x^2=64

So X=√64

Width x= 8inch

Length 5x=5×8

= 40 inch

Perimeter of rectangle =2(length+width)

=2(40+8)

=2(48)

=96inch

In a group of 20 students, there are 7 boys.
What is the ratio of girls to boys?
O 13:20
O 13:7
07:20
07:13

Answers

Answer:

13:7

Step-by-step explanation:

20 - 7 = 13 girls

Girls  Boys

13        7

Answer:

it would be 7:20 im pretty sure

Step-by-step explanation:

Write a fraction that is equal to 5

Answers

Answer:

5/1

Step-by-step explanation:

Are these proportional?
Yes | No

Answers

Answer:

yes

Step-by-step explanation:

multiply 6 for the numerators and denominaters

Answer:

Yes they are proportional

Step-by-step explanation:

May I please have brainliest?

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.

Answers

Answer: A, B, and E

Step-by-step explanation:

The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A  is a subset of S

How to determine the true statements?

The sample space is given as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The possible subsets of S are as follows:

Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusive

Using the above highlights, the possible set of A are:

A could be {1, 2, 3}. A = {1, 2, 3, 4}.

Hence, the true statements are (A) and (B)

Read more about spinners at:

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For which equation does x = 2?

Answers

Answer:

what are the equations

Step-by-step explanation:

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