One circle has a circumference half as large as that of a
second circle. Which ratio compares the diameter of the
first circle to the diameter of the second circle?

Answers

Answer 1

Answer:

The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Circumference of a circle:

The circumference of a circle of diameter d is given by:

[tex]C = \pi d[/tex]

In which d is the diameter.

One circle has a circumference half as large as that of a second circle.

We have that:

[tex]C_1 = \frac{C_2}{2}[/tex]

So

[tex]\pi d_1 = \frac{\pi d_2}{2}[/tex]

Simplifying by [tex]\pi[/tex]

[tex]d_1 = \frac{d_2}{2}[/tex]

[tex]\frac{d_1}{d_2} = \frac{1}{2}[/tex]

The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]


Related Questions

Two brothers are allowed to spend a maximum of 5.90 money as pocket money.the elder brother spent 2.97 money. How much was left for the younger brother?

Answers

5.90-2.97= 2.93 money

Answer:

2.93

Step-by-step explanation:

5.90-2.97=2.93

You are a researcher studying the health habits of people living in a large rural area. In particular, you are interested in the amount of weight gained early in life.
You want to estimate the population mean of all weight gains for the area's baby girls in their first year. To estimate the population mean of all such weight
gains, you select a random sample of 15 baby girls from this area and you record the weight (in kg) each gained in their first year. Assume the population is
approximately normally distributed.
Based on your sample, follow the steps below to construct a 90% confidence interval of the weight gains in the first year for all the area's baby girls. (If
necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results for your random sample.
Take Sample
Sample size:
0
Point estimate:
0
Number of baby girls
4
Sample standard deviation:
0
15
Sample mean
Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90%
confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Standard error:
5.538
Margin of error:
Sample standard
deviation
1.921
X
Confidence
level
S
Critical value

Answers

Therefore , the solution of the given problem of median comes out to be

confidence interval = [ 51.708 , 64.558 ].

Define median.

When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.

Here,

(48, 51, 65, 71, 61, 45, 48, 72, 74, 66, 43, 47, 70, 66, 45) sample data; sample mean, x = 58.133; sample size, n = 15; standard deviation, s = 11.6;

Standard deviation equals sd/√(n)

where, n = sample size and sd = standard deviation

Margin of error is equal to t alpha/2 and the standard error is (11.6/√( (15)) = 2.995. (standard error)

where ta/2 is the t-table level of significance, alpha is 0.05 from the standard normal table, the two-tailed value of |t alpha/2| with n-1 = 14 d.f is 2.145, and the margin of error is 2.145 * 2.995, which equals 6.425. The confidence interval for this margin of error is [58.133 6.425] = [51.708, 64.558].

being that,

sample data: (48 , 51 , 65 , 71 , 61 , 45 , 48 , 72 , 74 , 66 , 43 , 47 , 70 , 66 , 45 )

sample mean, x =58.133

standard deviation, s =11.6

sample size, n =15

level of significance, alpha = 0.05

from standard normal table, two tailed  value of |t alpha/2| with n-1 = 14 d.f is 2.145

we use CI = x ± t a/2 * (sd/ √((n))

where,

x    = mean

sd   = standard deviation

a    = 1 - (confidence level/100)

ta/2 = t-table value

CI   = confidence interval

confidence interval = [ 58.133 ± t a/2 ( 11.6/ sqrt ( 15) ]

= [ 58.133-(2.145 * 2.995) , 58.133+(2.145 * 2.995) ]

=  [ 51.708 , 64.558 ]

Therefore , the solution of the given problem of median comes out to be

confidence interval = [ 51.708 , 64.558 ].

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I really need help. Pweez?

Answers

Answer:

37

Step-by-step explanation:

top triangels 3 x4 = 12

Side triangels 1 x 5 = 5

the squer   4x 5 = 20

20 +5 +12= 37

Answer:

Step-by-step explanation:

20 inches i think

what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right

Answers

Answer:

To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:

Subtract your original score from your revised score to find the difference: 15 - 5 = 10

Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%

This means that your grade increased by 200%.

Step-by-step explanation:

What is the average rate of change between x=1 and x=5 for y=2x+5

Answers

Answer:

the average rate of change is 2 with an intercept of 5

Step-by-step explanation:

HELP ME PLSSSS I'M LOST

Answers

Answer:

1. 1/2, 0.5, 50%

2.1/4, 0.25, 25%

Step-by-step explanation:

1) 1/2 (Fraction), 0.50 (Decimal), and 50%

Explanation: 50 squares are shaded out of the 100 squares. 50 is the numerator and 100 is the denominator, then you just simplify it to get your answer. For the decimal, you just have to divide 50 by 100, and for the percentage, every time the denominator is 100, the numerator will always be the percentage of that fraction.

2) 1/4 (Fraction), 0.25 (Decimal), and 25%

Explanation: 25 squares are shaded out of the 100 squares. 25 is the numerator and 100 is the denominator, then you just simplify it to get your answer. For the decimal, you just have to divide 25 by 100, and for the percentage, every time the denominator is 100, the numerator will always be the percentage of that fraction.

Evaluate each expression for x = 3 & y = 4
4. x² + 2(x+y)
5. (xy)^3
4х² - 3ху
4x -

Answers

Using the values for x and y and substituting these values in the expression of equations provided, The answer is 23 and 1728.

What do you mean by equations?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

What do you mean by substitution?

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

x=3 and y=4

[tex]x^2 + 2(x+y)\\=3^2 + 2* (3+4)\\=9+2*7\\=9+14\\=23[/tex]

[tex](xy)^3\\=(3*4)^3\\=12^3\\=1728[/tex]

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Use the t-distribution to find a confidence interval for a mean given the relevant sample results. Give the best point estimate for , the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 95% confidence interval for using the sample results , , and Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places.
point estimate = ?
margin of error = ?
The 95% confidence interval is ____ to ______.

Answers

Answer: hello your question is incomplete attached below is the complete question

answer :  

a) 85.0

b) 27.4

c)  (82.26,   87.74 )

Step-by-step explanation:

Given data :

95% confidence interval

x ( mean ) = 85

s = 8.8

n ( sample size ) = 42

using t-distribution

a) calculate the point estimate

The point estimate = 85.0  given that a sample mean is the same as a point estimate of the sample population

b) calculate the Margin of error

df = 42 - 1 = 41

∝ = 0.05

critical value ( T ∝/2 , 41 ) = 2.02

hence ; margin of error  ( E )

=    2.74 ( using margin of error calculator )

c) The 95% confidence interval

 = 85 ± 2.74

(82.26,   87.74 )

How do i rewrite the sum in the form a(b+c) such that the integers b and c have no common factor. 35+42

Answers

Rewriting the sum in the form a(b+c) such that the integers b and c have a common factor. 35+42 is 7(5 + 6).

How to factorize the number?

The process of factorization simply has to do with the division of arithmetic algebraic expressions into the sum of their factors. in this case, multiplying the variables will yield the original expression. It means the writing of a number into smaller or simpler numbers that give the original number.

The common factor to both 35 and 42 is 7. This will be:

35 + 42 = 7(5 + 6)

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Complete question

How do i rewrite the sum in the form a(b+c) such that the integers b and c have a common factor. 35+42

find the value of x !!


thanks :)

Answers

According to question as both side are equal so it is an isosceles triangle and the value of X is 18.

What are the properties of Isosceles Triangle?

An isosceles triangle is a triangle with two sides of equal length. Some properties of an isosceles triangle include:

The two equal sides are called the legs of the triangle and the remaining side is called the base.The angle between the legs is always equal to the angle between the base and one of the legs.The altitude (perpendicular line segment from a vertex to the opposite side) bisects the base of the triangle.The median (line segment from a vertex to the midpoint of the opposite side) and the altitude from the same vertex to the opposite side are also congruent.The circumcenter (center of the circle that passes through all three vertices) of an isosceles triangle is always located at the midpoint of the line connecting the two vertices of the congruent sides.The line that is bisecting the angle between the congruent sides (also known as the angle bisector) also bisects the side opposite to that angle.

so In this triangle ,

The mid point on horizontal side is given and 5m line cut the mid point of both the sides.

both side are equal as it is an isosceles triangle.

and given in the question,

side/2 =9

and  one side is equal to x.

and both sides are equal,

therefore

side = 9*2 = 18

so the value of x = 18.

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Find the sales price of the following item. Choose the correct answer.

A set of tableware listed at $53.98, marked down 50%

Answers

Answer: $26.99

Step-by-step explanation:

53.98/2=26.99

How many lines of symmetry does this picture have?

Answers

Answer:

1

Step-by-step explanation:

if you put the line of symmetry anywhere else but down vertically it would not work .

This is my question! ​

Answers

Answer:

J

Step-by-step explanation:

mode = 56

mean = 37.4

median = 35

A six-sided die is tossed three times. The probability of observing three ones in a row is
1 / 156
1 / 216
3 / 46
1 / 120

Answers

Answer:  1/216  (choice B)

Reason:

There are 6 sides to the number cube. It gives 6*6*6 = 216 ways to roll three such dice. Only one of those ways has the sequence "1,1,1" that we're after. Therefore, the probability is 1/216.

It roughly approximates to 0.0046296; which is about a 0.46% chance of happening.

This all assumes that each side is equally likely. The answer will be different if the die is loaded in some fashion.

pls help with these questionss!!!

Answers

answer for A is 4 and 3/5
answer for B is 3 and 1/6

Question 8: I Can Write the y=mx Form Equation of the Line.
A train traveled 120 miles in 3 hours. The train traveled at a constant speed. If the
train continues to travel at this rate, which equation can be used to determine y,
the total number of miles the train will travel, in x hours?
A. y = 40x + 20
B. y = 40x
C. 40y = x
D. 40 + y = x

Answers

Answer:

b

Step-by-step explanation:

120/3 = 40

40 miles in 1 hour

Answer:

B. y = 40x

Step-by-step explanation:

120 miles in 3 hours, that means every hour the train traveled 40 miles.

Can anyone of u pls help me???

Answers

4

- + 2 = x = 10

5

this is how i see it..... 4 5ths plus 2 equals 10

Il give brainliest to correct answer

Answers

Answer:

x=18

Step-by-step explanation:

brainliest?

What is 1,207.43% times 83.53$

Answers

Answer:

1 008.56628 US$ kkkkkkkkkk

Answer:

$43352.9053

Step-by-step explanation:

Not sure if this is what you wanted to do, but 1,207.43% of 83.53 is 43352.9053, So there you go.

You select a family with four children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is {FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, FMMM, MFMM, MMFM, MMMF, MMMM. Find the probability of selecting a family with exactly four female children.

Answers

Answer: 1/16

There are 16 possible outcomes listed and only one of the outcomes has exactly four female children

What is the vertex for the function g(x)?

Answers

Answer:

look below!

Step-by-step explanation:

To get the vertex for an equation your best bet is to convert the form into vertex form,which is y=a(x−h)+k . In vertex form (h,k) is the vertex

The vertex of the function is (h,k) yer jus

What is the simplified expression for cot^2x/1+cot^2x

Answers

Answer:

2cot²(x)

Step-by-step explanation:

The simplified expression for cot²x/1+cot²x,  cos²x.

What are periodic functions?

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

Given, A trigonometric function [tex]\frac{cot^2x}{1 + cot^2x}[/tex],

Now, Using different trig identities we have,

[tex]= \frac{cot^2x}{cosec^2x}[/tex]

[tex]= \frac{\frac{cos^2x}{sin^2x}}{\frac{1}{sin^2x}}[/tex]

[tex]= {\frac{cos^2x}{sin^2x}}\times\frac{sin^2x}{1}[/tex].

= cos²x.

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A 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29. How much can be saved per ounce by guiding the larger box

Answers

The amount of money that can be saved per ounce by guiding the larger box is $0.009.

What is equation modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that a 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29.

For the larger box -

38 ounce box of cat food costs $1.69

1 ounce of this box will cost $(1.69/38) = $0.045

For the smaller box -

24 ounce box of cat food costs $1.29

1 ounce of this box will cost $(1.29/24) = $0.054

Money that can be saved per ounce by guiding the larger box -

0.054 - 0.045

0.009

Therefore, the amount of money that can be saved per ounce by guiding the larger box is $0.009.

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Some of company x’s new practices and systems are unethical. Business ethics is a set of codes about how a business should conducts itself. In what ways is company x not applying practices

Answers

By altering schedules without giving adequate notice, terminating employees without giving adequate notice, and making false claims about its products, company x is not adhering to best practises.

Which kinds of codes are examples?

These include bar codes, ISBNs, ASCII codes, postal codes, and bank account numbers; many of these contemporary codes use a checking mechanism, also known as a check digit. The ISBN system, now used uniformly on all new books, is one illustration of this.

How should business ethics be defined?

Adopting sensible company procedures and policies with reference to apparently contentious issues is referred to as practicing business ethics. Corporate governance, market manipulation, bribery, racism, social duty, and fiduciary responsibilities are a few of the topics that come up in an ethical discussion.

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Answer:

The first one is right...

Step-by-step explanation:

A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line. Please Help Best helped will get brainiest Promise PLS HELP !!!!!!!!!!!!!!!!!!!

Answers

Answer:

y - 1 = 3/2 (x + 10)

Step-by-step explanation:

Point-slope form of the equation of a line is a fill-in-the-blank shortcut to write an equation. If you know a point and the slope of a line you can fill in that info and voila! you have the equation.

Here is Point-slope equation:

y - Y = m(x - X)

Because the point given (-10,1) is in the form (X,Y), fill in -10 for X and 1 for Y.

The slope given is 3/2, fill that in for m.

y - Y = m(x - X)

y - 1 = 3/2 (x - -10)

y - 1 = 3/2 (x + 10)

The equation is

y - 1 = 3/2 (x + 10)

3. The ratio of brown-haired students to blonde-haired students is 5 to 2. There are
1340 brown-haired students in the school. How many students have blonde
hair?

Answers

536 have blonde hair

Calculate The Double Integral. ∫∫ 4x 1 + Xy DA, R = [0, 4] × [0, 1]

Answers

Answer:

[tex]20\ln(5)-16\approx16.18876[/tex]

Step-by-step explanation:

[tex]\displaystyle\int\int\limits^{}_R {\frac{4x}{1+xy} } \, dA\\\\\\=\int\limits^4_0\int\limits^1_0 {\frac{4x}{1+xy} } \, dy \, dx\\\\\\=\int\limits^4_0 {\ln(1+xy)\biggr|_0^1} \, dx\\\\\\=\int\limits^4_0 {\ln(1+x)} \, dx\,\,\,\,\,\,\,\,\,\,\,\,\bigr(u=\ln(1+x),\,dv=dx\bigr)\\\\\\=4\biggr(x\ln(1+x)\biggr|_0^4-\int\limits^4_0 \frac{x}{1+x} \,dx\biggr)\\\\=4\biggr(4\ln(5)-\bigr[x-\ln(1+x)\bigr]\biggr|_0^4\biggr)\\\\=4\biggr(4\ln(5)-\bigr[4-\ln(5)\bigr]\biggr)\\\\=4\biggr(5\ln(5)-4]\biggr)\\\\=20\ln(5)-16[/tex]

6 lb 3 oz − 1 lb 4 oz

Answers

Answer:

4.9375 lbs

Step-by-step explanation:

There are 16 oz in a pound. 6 pound in 3 ounces is going to be 99 oz and 1 pound and 4 oz is going to be 20 oz. Equation: 99-20 ANSWER: 79 oz. or 4 pounds 15 oz.

In this expression: 5x – (12 -6), x is what we called the ....?

Answers

Answer:

x is the variable

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

There is two expression

Triangle ABC has side lengths 39, 80, and 89. Do the side lengths form a right triangle? Explain.

please water it down for me i cant understand it

Answers

Answer:

Yes

Step-by-step explanation:

If a right triangle, then the Pythagorean theorem will show an equality of the sum of the squares of the two shorter legs equal to the square of the longest leg.

does 39² + 80² = 89² ?

1521 + 6400 = 7921, yes

it is a right triangle

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So when a witness tries to identify someone, her brain may recall that the person was tall, but not be able to say how tall when faced with several tall people. There are lots of different kinds of "tall."Second, memory uses general knowledge to fill in gaps. Our brains reconstruct events and scenes when we remember something. To do this, our brains use other memories and other stories when there are gaps. For example, one day at a library you go to quite frequently, you witness an argument between a library patron and one of the librarians. Later, when telling a friend about the event, your brain may remember a familiar librarian behind the desk rather than the actual participant simply because it is recreating a familiar scene. In effect, your brain is combining memories to help you tell the story.Third, your memory changes over time. It also changes the more you retell the story. Documented cases have shown eyewitnesses adding detail to testimony that could not have been known at the time of the event. Research has also shown that the more a witness's account is told, the less accurate it is. You may have noticed this yourself. The next time you are retelling a story, notice what you add, or what your brain wants to add, to the account. You may also notice that you drop certain details from previous tellings of the story.With individual memories all jumbled up with each other, it is hard to believe we ever know anything to be true. Did you really break your mother's favorite vase when you were three? Was that really your father throwing rocks into the river with you when you were seven? The human brain may be quite remarkable indeed. When it comes to memory, however, we may want to start carrying video cameras if we want to record the true picture.Which of the following best explains why memories from childhood are unreliable? 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