a piece of string is wound tightly round a cylinder for 20 complete turns.the length of the string is found to be 3.96m. Calculate the diameter of the cylinder In cm​

Answers

Answer 1
3.96m = 396 cm (because 1m = 100cm)

Now divide 396cm by 20

396/20= 19.8 cm (this is the circumference of the cylinder)

C=2πr

19.8 =2πr

19.8/2π=r (divide 19.8 *circumference with 2π)

r= 3.15cm ( correct to two dp)

Related Questions

Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1

Answers

Answer:

1 1/2

Step-by-step explanation:

Finley's pumpkin had a mass of 6.5 kilograms (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg ​

Answers

Answer:

[tex]\%Change = -40\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 6.5kg[/tex]

[tex]Final = 3.9kg[/tex]

Required

Determine the percentage change --- Missing from the question

This is calculated as

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-2.6kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-260}{6.5}\%[/tex]

[tex]\%Change = -40\%[/tex]

What percent of 30 is 5? Round your answer to the nearest tenth

Answers

Answer:

16.7

Step-by-step explanation:

Solve for x. 8x+10-5x=15.

Answers

Answer:

=

5

3

Step-by-step explanation:

8

+

1

0

5

=

1

5

3

+

1

0

=

1

5

Answer:

x = 5 / 3 = 1.667

Step-by-step explanation:

8*x+10-5*x-(15)=0

Solve  :    3x-5 = 0

Add  5  to both sides of the equation :

                     3x = 5

Divide both sides of the equation by 3:

                    x = 5/3 = 1.667

x = 5/3 = 1.667

Help please aaaaaaaa​

Answers

Answer:

the first answer is 7 the second is 2

Step-by-step explanation:

to slove plug in a variable in the blank space.

5(a/8)<5

divide both side by 5

a/8 <1

a=7

7/8 <1

-

the same method can be used for the second 6(2/a)=6

divide by 6

2/a=1

a=2

Choose the circle with the greatest area​

Answers

Answer:

#3

Step-by-step explanation:

On Tuesday morning Cody went to the gym and worked out for 1 3/5 hours

Answers

add the two fractions together
1 3/5 + 2 1/10
=1 3/10 + 2 1/10
=1 6/10 + 2 1/10
=3 7/10

What is the area of rhombus ABCD?



Enter your answer in the box. Do not round at any steps.

[ ] units²

Answers

Answer:

Not sure ,but the answer might be 16 .

A=pq/2 .....hope this helps don’t know if this was what you were looking for !!

Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?

Answers

Answer: B or C sorry if its wrong

Step-by-step explanation: have a nice day

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

C

Step-by-step explanation:

radius squared * pi = 63.585

What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5

Answers

Answer:

D

Step-by-step explanation:

Answer:

I think this one is C

Step-by-step explanation:

It seems like its counting by 5's and the answer to the first equation

Seven students were surveyed on the number of pets in their house. The results are shown below:
2, 2, 2, 3, 4, 4, 11
What is the mean number of pets?

Answers

Answer:

the mean number of pets is 4.

Step-by-step explanation:

if you add all of the numbers together, you get 28. Then you divide 28 by the amount of students.

The answer is 4, sum of all numbers divided by number of terms is 28/7 and or 4.

100 POINTS!!! Orthographic projection and isometric projection are two ways to show three-dimensional objects in a two-dimensional space, such as on a piece of paper or a computer screen. Each method gives a different perspective. Do some research and then compare and contrast the two methods for displaying three-dimensional shapes. Then try your hand at creating both types of projections for a simple geometric shape using paper, pencil, and a ruler.

In your opinion, what are the pros and cons of each projection? What are the limitations? In which circumstances, environments, or occupations is one type of projection likely preferred over the other? Describe any special tools that might be needed to create the projection. Which projection is easiest for you to interpret visually? Why?

Answers

Example 1:

The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.

Example 2:

Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.

Please help me with this question

Answers

Answer:

$13.50

Step-by-step explanation:

Answer:

m = 13.50$

Step-by-step explanation:

26.50 + m = 40

m = 40 - 26.50

m = 13.50$

If = x+12
what is the value of *?
X
21

Answers

if 21 is the final answer to the equation then x would be 9

Answer:

9

Step-by-step explanation:

Willard F. Libby received his undergraduate degree from
.

After he completed his graduate work, he became a professor at
.

In 1960, he won a Nobel Prize in

Answers

Answer:

Berkley

Step-by-step explanation:

After he completed his graduate work, he became a professor at Berkley.

Answer:

Willard F. Libby received his undergraduate degree from

✔ University of California, Berkley

.

After he completed his graduate work, he became a professor at

✔ University of California, Berkley

.

In 1960, he won a Nobel Prize in

✔ chemistry

.

Step-by-step explanation:

find the errors and correct the following mathematical sentences:​

Answers

Answer:

You are supposed to correct the equation here not solve it.

plsss help meee in math :(((​

Answers

Answer:

a = 30

2a = 60

3a = 90

Step-by-step explanation:

3a + 2a + a = 180 ( Sum of angles of a triangle is 180)

6a = 180

a = 180/6

a = 30

2a = 2 x 30 =60

3a = 3 x 30 = 90

HELP ME PLEASE
bsjsudhdhehe​

Answers

The lines cross at a single point so there is a single solution (A)

During free throw practice, Michael made 52 out of 80 free throw
attempts. What percent of the free throws did he make? *

Answers

Answer:

65%

Step-by-step explanation:

[tex]\frac{52}{80} \times 100=65[/tex]

The answer is 65% because 52/80= 26/40 = 13/20

In a certain city district, the need for money to buy drugs is stated as the reason for 75% of all thefts. Find the probability that among the next 5 theft cases reported in this district, (a) exactly 2 resulted from the need for money to buy drugs; (b) at most 3 resulted from the need for money to buy drugs.

Answers

Answer:

a) 0.0879 = 8.79% probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.

b) 0.3672 = 36.72% probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need for money to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either it was motivated by a need to buy drugs, or it wasnt. Thefts are independent, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In a certain city district, the need for money to buy drugs is stated as the reason for 75% of all thefts.

This means that [tex]p = 0.75[/tex]

Next 5 theft cases

This means that [tex]n = 5[/tex]

(a) exactly 2 resulted from the need for money to buy drugs;

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.75)^{2}.(0.25)^{3} = 0.0879[/tex]

0.0879 = 8.79% probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.

(b) at most 3 resulted from the need for money to buy drugs.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.75)^{0}.(0.25)^{5} = 0.0010[/tex]

[tex]P(X = 1) = C_{5,1}.(0.75)^{1}.(0.25)^{4} = 0.0146[/tex]

[tex]P(X = 2) = C_{5,2}.(0.75)^{2}.(0.25)^{3} = 0.0879[/tex]

[tex]P(X = 3) = C_{5,3}.(0.75)^{3}.(0.25)^{2} = 0.2637[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0010 + 0.0146 + 0.0879 + 0.2637 = 0.3672[/tex]

0.3672 = 36.72% probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need for money to buy drugs.

can anyone help me on that question too its math plsss​

Answers

Answer:

2x= 40°

5x= 100°

Step-by-step explanation:

2x on opposite angle because it is an isosceles triangle

2x+ 2x+ 5x = 180° (angles of a triangle)

9x= 180

x= 180/9

x= 20°

Sub

2(20)= 40°

5(20)= 100°

Two different numbers are randomly selected from the set {-2, -1, 0, 3, 4, 5} and multiple together. What is the probability that the product is 0?

Answers

Answer:

Step-by-step explanation:

For the product to be zero one of the picks needs to be zero. It is easier to find the probability of NOT selecting a zero and subtract that from one.

P(0)=1-P(!0)

P(0)=1-(5/6)(4/5)

P(0)=1-4/6

P(0)=(6-4)/6

P(0)=1/3

At a bakery, a baker prepares 6 dozen blueberry muffins for every 5 dozen apple muffins. If the baker prepares 16 dozen blueberry muffins, how many dozen apple muffins will he prepare? Can you please explain how to do this.

Answers

Answer:13 apple muffins dozensStep-by-step explanation:I would write a proportion, I can't use a fraction bar so they will just be on top of each other: Blueberry Muffins    6 Apple Muffins          5 For every 6 Blueberry muffins there are 5 apple muffins (dozens) So when he makes 16 blueberry muffins (dozens) You write it next to the '6' because it's talking about blueberry muffin dozens. The proportion now: Blueberry Muffins  6   16 Apple Muffins        5    x To find x, or the number of apple muffin dozens, you multiply 16 * 5, which is 80. Then divide by 6. 80/6= 13.333 You can't have .333 of a dozen, so round it to 13. ***ANSWER***  He prepared 13 Apple muffin dozens. Hope this helped <3

what is the constant proportionality of y=5x
a. 5
b. -5
c. -1/5
d. 1/5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The Answer is a

Step-by-step explanation:

General equation of direct variation: y = kx, where k is the constant of proportionality. y = 5x, so 5 is the constant of proportionality

Simplify. Write the answer as a decimal.

Answers

Answer:

what are we simplifying

Pam bought 20 pieces of fruit for her class.
o   Each piece of fruit was either an apple or an orange.
o   She spent $1.25 on each apple.
o   She spent $0.95 on each orange.
o   Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
 
Choose the correct define variables and the correct system of equations

Answers

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

Answer:

1.25x+0.95y=22.60

x is apples y is oranges

Step-by-step explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense

Custom drapes are being fitted for a large circular
window. It is difficult to get these measurements, but the
window has an 8 ft horizontal shelf with a 2 ft brace that
sits in the frame. If the brace is extended upward, it
would go through the center of the shelf and the circle.
What is the diameter of the window?
Diameter =
feet

Help please

Answers

The diameter is 17ft
the answer is 17!
have a good day :)

what is a correct name fo the angle shown. R S RTS SRT

Answers

The answer to this is SRT

please show all work i’ll mark brainliest

Answers

Answer:

a) P = 26 cm

b) A = 36 cm²

Step-by-step explanation:

perimeter is sum of all sides: 6+4+2+3+4+7 = 26

Area can be found by taking entire area, 7x6, then subtracting out the area of the missing piece, 2x3

A = 42 - 6 = 36 cm²

Answer:

Area is 36 and Perimeter is 26

Step-by-step explanation:

solving area:

4x6=24

3x4=12

24+12=36

solving perimeter:

6+4+2+3+4+7= 26

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