The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides

Answers

Answer 1

Answer:

8:4

Step-by-step explanation:

Given that,

The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16

We need to find the ratio of their sides. For similar polygons, the ratio of  the area is proportional to the square of the ratio of their corresponding sides.

Let sides are x₁ and x₂. So,

\(\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}\)

So, the required ratio is 8:4.


Related Questions

-4x4+1.5-2.5-2x4-6.5

Answers

Answer:

0.5

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Graph the system y=2x-4 y=2x^2 then write its solution

Answers

Okay, here we have this:

Considering the provided system of equations, we are going to graph the system, so we obtain the following:

Graphing the system we have:

We can see that the two functions do not intersect at any time, therefore the system of equations has no solution in the set of real numbers.

Graph the system y=2x-4 y=2x^2 then write its solution

Should you add or subtract these equations? `2x+y=12` x+y=10

helppp

Answers

Answer:

I would subtract.

Step-by-step explanation:

You need to do the opposite of what the sign says when doing equations.

the p-value of a significance test is: question 4 options: the probability, assuming the null hypothesis is true, that the sample would produce a result at least as extreme (meaning, as far away from expected) as was actually observed. the probability that the null hypothesis is true. the probability that the null hypothesis is false. the probability, assuming the null hypothesis is false, that the sample would produce a result at least as extreme (meaning, as far away from expected) as was actually observed.

Answers

The correct answer to your question is: the p-value of a significance test is the probability, assuming the null hypothesis is true, that the sample would produce a result at least as extreme (meaning, as far away from expected) as was actually observed.

This means that the p-value represents the strength of evidence against the null hypothesis, with lower values indicating stronger evidence against the null hypothesis. It is important to note that the p-value does not tell us the probability that the null hypothesis is true or false, but rather the likelihood of observing a result as extreme as the one observed in the sample data, assuming the null hypothesis is true.
The p-value of a significance test is: the probability, assuming the null hypothesis is true, that the sample would produce a result at least as extreme (meaning, as far away from expected) as was actually observed.


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a jar contains 10 red marbles numbered 1 to 10 and 12 blue marbles numbered 1 to 12. a marble is drawn at random from the jar. find the probability of the given event. write your answers as reduced fractions.

Answers

The probability of drawing a red marble from the jar is 5/11 and the probability of drawing a blue marble from the jar is 6/11.

There are 22 marbles in the jar in total, 10 of which are red and 12 of which are blue. To find the probability of drawing a red marble, we can use the formula for probability:

Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 10 (the number of red marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:

Probability of drawing a red marble = 10/22

This fraction can be reduced to 5/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a red marble from the jar is 5/11.

To find the probability of drawing a blue marble, we can use the same formula:

Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 12 (the number of blue marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:

Probability of drawing a blue marble = 12/22

This fraction can also be reduced to 6/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a blue marble from the jar is 6/11.

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work out the circumference of this circle give your answer in terms of pi 6mm

Answers

Answer:

C = 18.85 mm

OR

C = 37.7 mm

Step-by-step explanation:

if 6mm is the diameter.... then

6/2 = radius

3 = radius

then circumference = 2π(3)

C = 18.85 mm

BUT IF THE RADIUS IS 6MM

then circumference = 2π(6)

C = 37.7 mm

Please help it’s due today

Please help its due today

Answers

Answer:

1/2 is 4/8 and 5/8 is grater than it

Step-by-step explanation:

What is the perimeter of the parallelogram?
A 12
B 15
C 30
D 44

What is the perimeter of the parallelogram?A 12 B 15C 30 D 44

Answers

Answer:

C. P = 30

Step-by-step explanation:

Parallelogram opposite (or parallel) sides are equal,

so:

2x = x + 2

5y - 9 = 2y + 3

For x:

2x = x + 2

2x - x = 2

x = 2

For y:

5y - 9 = 2y + 3

5y - 2y = 3 + 9

3y = 12

y = 4

the smallest sides are equal 2x and x + 2 => 2 * 2 = 4

the biggest sides are equal 5y - 9 and 2y + 3 => 2 * 4 + 3 = 11

P = 2 * (a + b)

P = 2 * (4 + 11)

P = 2 * 15

P = 30

Debbie rides her bike 6 miles in 30 minutes. At this rate, how many minutes will it take her to ride 21 miles?

Answers

Answer:

105

Step-by-step explanation:

Time is always x, the independent variable.

Distance, money, etc. is always y, the dependent variable, when dealing with time.

Start with the ratio of 6:30.

If you travel 6 miles in thirty minutes, how many do you have in one?

Simplify it like this: \(\frac{6}{30} :\frac{30}{30}\) \(= \frac{1}{5}: \frac{1}{1}\)    

You travel a fifth of a mile in 1 minute. Now you must find out how much it takes to get from \(\frac{1}{5}\) to 21.

(Hint: 21 ÷ \(\frac{1}{5}\))

You may use a calculator.

So it takes 105 minutes just to cover 21 miles, and this can be shown in fraction form as \(\frac{21}{105}\), or simpler, \(\frac{1}{5}\).

Please forgive me if I am wrong. I trusted my brain and calculator, yet I will take full blame.

help me i dont understand this

help me i dont understand this

Answers

Answer:

there monthly budget is $4000

Step-by-step explanation:

if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100%  and 40x100=4000 so 100% of there budget is $4000

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∠A and ∠B are vertical angles. If m ∠A=(2x+26)∘ and ∠B=(3x−29)∘, then find the measure of ∠A.

A and B are vertical angles. If m A=(2x+26) and B=(3x29), then find the measure of A.

Answers

The measure of angle (m ∠A) is 136°

Vertical angles theorem

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

Now, solve for x

2x + 26 = 3x - 29

26 + 29 = 3x - 2x

55 = x

∴ x = 55

But measure of angle A is given by

m ∠A=(2x+26)°

Put the value of x into the equation,

m ∠A=(2(55)+26)°

m ∠A=(110+26)°

m ∠A = 136°

Hence, the measure of angle (m ∠A) is 136°

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i need help finding the area .

i need help finding the area .

Answers

Answer:

149 in²

Step-by-step explanation:

The figure is composed of 3 rectangles.

A( lower) = 5 × 7 = 35 in²

A(middle) = 10 × 6 = 60 in²

A(right) = 6 × 9 = 54 in²

Sum the 3 areas for total area

Total area = 35 + 60 + 54 = 149 in²

Answer:

149 inches square.

Step-by-step explanation:

Given,

length (l) = 7 in.

breadth (b) = 5 in.

Area (A1) = l×b

= 7×5

= 35 inches square

now,

length = 9 in.

breadth= 6 in.

Area (A2) = l×b

= 9×6

= 54 square inches

again,

length = 10 in.

breadth = 6 in.

Area (A3) = l×b

= 10×6

= 60 square inches

Area of irregular figure = A1+ A2+ A3

= 35 +54 + 60

= 149 in. square

china and germany specialize in the production of silk and automobiles respectively. they are considered the best at their specializations. assume that china trades silk with germany in exchange for automobiles. which perspective is illustrated by this form of trade?

Answers

This form of number of trade illustrates an example of comparative advantage, where each country specializes in the production of goods that they are more efficient at producing and then trading those goods with each other.

Comparative advantage is a concept in economics that states that countries that specialize in goods they are more efficient at producing will be able to produce those goods at a lower cost than countries that do not specialize in that good. In this form of trade, China specializes in the production of silk, while Germany specializes in the production of automobiles. By trading these goods with each other, both countries are able to benefit from the number of  specialization of each other, as they can produce silk or automobiles more efficiently and at a lower cost than the other country.

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True or False: Consecutive interior angles have corresponding positions in the same side of the transversal

Answers

Answer:

true  

Step-by-step explanation:

Answer:

True

Step-by-Step-Explanation: Because Consecutive Interior Pairs are pairs of angles on one side of the transversal but inside the two lines

Monica had some cookies. She gave seven to her sister. Then, she divided the remainder into two halves, and she still had five cookies left.

Answers

Answer:

Monica had 17 cookies to begin with

Step-by-step explanation:

10 divided by 2 is 5

CAN SOMEONE PLEASE GIVE ME THE ANSWER TO QUESTION 6? PLS ILY

CAN SOMEONE PLEASE GIVE ME THE ANSWER TO QUESTION 6? PLS ILY

Answers

Answer:

12.5

Step-by-step explanation:

We want to find 1/8 of 100 so we would write it as 100÷8 to get 12.5

Now we know that 12.5 is equivalent to 1/8 but let's double check.

12.5×8 is 100

1/8 ×8 is 8/8

100=8/8

True and False: You have a model Yi = Xi⊤β + ε, and you fit itby OLS. If the OLS residuals are uncorrelated with X, our estimateof β are unbiased.

Answers

In linear regression, unbiasedness of OLS estimator for $\beta$ is guaranteed

True.

In linear regression, unbiasedness of OLS estimator for $\beta$ is guaranteed when the following conditions hold:

The regression model is correctly specified and the true model is linear in the parameters.

The errors are homoscedastic and normally distributed with mean zero and constant variance.

The regressors are not perfectly collinear.

The expected value of the errors given the values of the regressors is zero.

Under these conditions, if the OLS residuals are uncorrelated with the regressors, then the estimate of $\beta$ obtained from OLS is unbiased.

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Raven purchases a new cell phone for $800 that depreciates annually. the value of her cell phone per year, x, can be modeled by the exponential function f(x) = 800(0.82)x. what is the range of this exponential function in terms of the context of the problem? [0, [infinity]) â„ (800, [infinity]) (0, 800]

Answers

The range for this function is (0,800].

What is a geometric progression?

It is a sequence of terms in which the succeeding term is can be found out by multiplying with a constant non zero value.

here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82, hence its a decreasing progression.

so the maximum value in range is 800

as x tends to infinity the equation tends to 0

hence the funtion apporaches 0

so the range will be (0,800]

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Using geometric progression, the range for this function is (0,800].

What is geometric progression?

A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio."

This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

Here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82.

Hence it's a decreasing progression.

So, the maximum value in the range is 800.

As x tends to infinity the equation tends to 0.

Hence, the function approaches 0

So the range will be (0,800].

Therefore, using a geometric progression, the range for this function is (0,800].

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Give an example (there are many possibilities) of a 3 × 3 matrix for which the kernel is the set of all vectors\underset{x}{\rightarrow}∈ R3 satisfying 3x1 + 2x2 + x3 = 0.Please include rationale.

Answers

We can easily see this by noting that if we multiply this matrix with \underset{x}{\rightarrow}= (x1,x2,x3), we get

|x1 + 2x2 + 3x3|

|4x1 + 5x2 + 6x3|

|7x1 + 8x2 + 9x3|

which to the equation 3x1 + 2x2 + x3 = 0.

A 3x3 matrix for which the kernel is the set of all vectors \underset{x}{\rightarrow}∈ R3 satisfying 3x1 + 2x2 + x3 = 0 is

|1  2  3|

|4  5  6|

|7  8  9|


This matrix has a kernel consisting of all vectors \underset{x}{\rightarrow}= (x1,x2,x3) that satisfy the equation 3x1 + 2x2 + x3 = 0.

We can easily see this by noting that if we multiply this matrix with \underset{x}{\rightarrow}= (x1,x2,x3), we get

|x1 + 2x2 + 3x3|

|4x1 + 5x2 + 6x3|

|7x1 + 8x2 + 9x3|

which to the equation 3x1 + 2x2 + x3 = 0.

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Under which circumstance can a very small treatment effect still be statistically significant?

Answers

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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How do you find the remainder theorem on a calculator?

Answers

If you need to find the remainder when a polynomial \(f(x)\) is divided by \(x-a\), you can compute \(f(a)\) on your calculator.

Use a scientific calculator and type the polynomials and use the divide option to find the remainder theorem.

What is remainder theorem?

The remainder theorem states that when a linear polynomial q(x) with a zero of x = a divides a polynomial p(x) (whose degree is greater than or equal to 1), the remainder is given by r = p. (a).

Without actually doing the long division steps, one may use the remainder theorem to calculate the remainder of the division of any polynomial by a linear polynomial.

The remainder theorem calculator should be used as follows:

Step 1: Type the polynomials for the numerator and denominator in the appropriate input fields.

Step 2: To receive the output, now select "Divide" from the menu.

Step 3: Lastly, the remainder and quotient will be shown in the new

window.

Therefore, the remainder theorem can be used in a calculator.

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over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. researchers surveyed a group of 273 randomly selected teen girls living in massachusetts (between 12 and 15 years old). after four years the girls were surveyed again. sixty-three said they smoked to stay thin. is there good evidence that more than thirty percent of the teen girls smoke to stay thin? the alternative hypothesis is:

Answers

We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Look at the photo pick A B C D either one explanation not needed thank you! <3 -14- don’t guess

Look at the photo pick A B C D either one explanation not needed thank you! &lt;3 -14- dont guess

Answers

Answer:

that correct answer is A. this is how i remember it WALK TO a friends house then you walk UP to the door

what is the ration that equivalent to 6/7

Answers

An equivalent ratio of the given ratio 6/7 is; 12/14

How to find Equivalent Ratios?

To find equivalent ratios, we will just multiply the given ratio by any number that is equivalent to 1 such as 2/2, 3/3, 4/4, 5/5 e.t.c

Now, we want to find equivalent ratio of 6/7. Applying the procedure above, we can say that;

Equivalent ratio = (6/7) * (2/2) = 12/14

Thus, an equivalent ratio of 6/7 is; 12/14

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(40 POINTS) TRUE OR FALSE? The transformation of the function f(x) = (1/2)^x when it becomes f(x) = (1/2)^x+3 is a horizontal shift of 3 units to the right?

Answers

Answer:

False.

Step-by-step explanation:

You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.

What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%

Answers

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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The American Quarter Horse is the most popular riding horse in the world. The average weight of an American Quarter Horse at birth is 85 pounds. They grow to a maximum weight of 1300 pounds. Write and solve an inequality to find how many pounds an American Quarter Horse may gain from birth to adulthood.

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the average weight of an American Quarter Horse at birth is 85 pounds and that they grow to a maximum weight of 1300 pounds.

The inequality to calculate the amount of pounds that an American Quarter Horse may gain from birth to adulthood will be the difference between it's maximum weight and weight at birth. This will be:

= 1300 - 85.

= 1215 pounds

URGENT!!!!!

Find the value of x that makes m n.
m
(7x - 11)
(4x + 58)
n
X =

URGENT!!!!!Find the value of x that makes m n.m(7x - 11)(4x + 58)nX =

Answers

Answer:

x = 23

7x - 11 = 4x + 58

(7x - 4x) - 11 = (4x - 4x) + 58

3x - 11 = 58

3x (- 11 + 11) = 58 + 11

3x = 69

3x/3 = 69/3

x = 23

Answer:

x=23°

Step-by-step explanation:

(7x - 11)=(4x + 58)

7x-4x=58+11

3x=69

x=23

9/29/2020
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
Please only answer of you have a "real" answer and not a comment. Save your comments for the comment box!
God Bless. Max Larson

9/29/2020Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer

Answers

Answer:

Corresponding angles: <4 and < 8

Alternate Exterior Angles: <3 and <5

Same-side Interior Angles: <1 and <8

Step-by-step explanation:

Corresponding angles are angles on the same side of a line.

16. Colton has a $6 credit balance on his credit card. He uses the credit card to
pay $9 for lunch. Use the number line to subtract $9 from Colton's credit
balance, and complete the equation.
ucation
6
8
10
12
14
text: Oppo...
16

Answers

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation:

16. Colton has a $6 credit balance on his credit card. He uses the credit card topay $9 for lunch. Use
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