Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard. The circumference of the circle is 75.36 cm. What is the diameter? (Use 3.14 for .)

Answers

Answer 1
Answer:

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

C =2\pi r

where r is the radius of the circle.

Putting values, we get,

75.36 = 2* 3.14* r\n\nr = (75.36)/(2* 3.14)\n\nr=12

Diameter of circle =

d=2r\nd=2* 12=24\text{ cm}

Thus, the diameter of circle is 24 cm.


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The area of a rectangle is 21 m squared, and the length of the rectangle is 1 m less than twice the width. Find the dimensions of the rectangle. Help?

Answers

This should be right because I checked it afterwards
Width=W
Length=2W-1
The equation is as follows
W(2W-1)=21
2W^(2)-W=21
Subtract 21 from each side
2W^(2)-W-21
Group them/put them in parentheses..can't think of the right word right now
(2W-7)(W+3)
-7=I7I
You only do this for the first parenthese, 7÷2W=3.5
W=3.5
If W=3.5 then 2W-1⇒2×3.5-1⇒7-1⇒6
Length=6
If W=3.5 and L=6, then W(2W-1)=21
3.5(2×3.5-1)=21
Solve in parentheses first
3.5(7-1)=21
3.5(6)=21
3.5×6=21
The width is 3.5
The length is 6

What are the factor pairs of 23?

Answers

it is a prime, it doesn't have, the only (I don't know if your system counts 1,23 as factors but there are no others)

Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 9 if the second die is a 5. The probability that the sum of the dots on the dice is a number greater than 9 if the second die is a 5 is nothing.​(Type an integer or a simplified​ fraction.)

Answers

this answer will be 55% ok

If Susie is 14, what was her age x years ago? x - 14 14 - x 14x

Answers

"If Susie is 14, what was her age x years ago?"

that would be 14 minus x
or
14 - x
I think the correct answer would be B. 14-x

URGENT. Please help me!! 30 points :))

Answers

Answer:

<T = 83

Step-by-step explanation:

In a parallelogram  <M = < P   and < N = <T  (opposite angles are congruent)

We also know that <M + <N = 180  ( consecutive angles are supplementary)

<M + <N = 180

6x+10  + 5x+10.5 = 180

Combine like terms

11x+20.5 = 180

Subtract 20.5 from each side

11x +20.5-20.5 = 180-20.5

11x = 159.5

Divide each side by 11

11x/11 = 159.5/11

x=14.5

We can find <N

<N = 5x+10.5

    = 5(14.5)+105

   =72.5 +10.5

   = 83


<N = <T = 83

A survey was administered to parents of high school students in a certain state to see if the parents thought the students’ academic needs were being met. To select the sample, the parents were divided into two groups— one group of parents who live in cities with populations of more than 100,000 and the other group of parents who live in cities with populations less than or equal to 100,000. A random sample of 100 parents from each group was taken. Which of the following statements about the sample of 200 parents is true? (A) It is a convenience sample because the sample of parents was easily obtained. (B) It is a stratified random sample because parents were randomly selected from each group. (C) It is a random cluster sample because parents were randomly selected from each group. (D) It is a random cluster sample because groups of high schools were randomly selected. (E) It is a systematic sample because the parents were systematically divided into two groups.

Answers

Answer:

Option C is correct

It is a stratified random sample because parents were randomly selected from each group.

Step-by-step explanation:

I'll talk about the different types of sampling.

1) Random Sampling

In random sampling, each parent would have an equal chance of being surveyed. If this particular scenario wanted to use random sampling, they would have used computer generated random numbers for the parents and surveyed them, not just pick random parents equally from two cities.

2) Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth parent is picked to be sampled.

3) Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, they just survey the first set of parents that they find.

4) Stratified Sampling

Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.

So, for this question, random sampling is used to pick a sample from the two strata (from the 2 cities). This is why the sampling used in this question is a stratified random sampling technique.

5) Cluster sampling

Cluster Sampling divides the population into groups which are called clusters or blocks (the different cities). The clusters are selected randomly, and every element in the selected clusters is surveyed (each parent in the selected cities, is surveyed!).

Hope this Helps!!!