The _____ ratio is the ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon.

Answers

Answer 1

The scale ratio is the ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon.

The ratio you're referring to is called the scale factor. The scale factor is the ratio of the length of one side of a polygon to the length of the corresponding side of a similar polygon. Let's denote this scale factor as ( k ).

To calculate the scale factor, you need to choose corresponding sides from the two similar polygons. Once you've chosen a pair of corresponding sides, divide the length of one side by the length of the corresponding side from the other polygon.

Let's say we have two similar polygons, Polygon A and Polygon B, and we want to find the scale factor between them. Let's denote the length of a side of Polygon A as [tex]$ L_A $[/tex] and the length of the corresponding side of Polygon B as [tex]$ L_B $[/tex]. Then, the scale factor, ( k ), is given by:

[tex]\[ k = \frac{L_A}{L_B} \][/tex]

This ratio will give you the scale factor between the two polygons.

Related Questions

Samantha is planting a garden in her backyard that is going to be 600 square inches. She loves tomatoes and wants them to cover 60% of the garden. She then put lettuce in 1/3 of what was left. The remaining part of her garden was used for fresh herbs. What is the area of the garden that is fresh herbs?

Answers

60% of 600 :

10% of 600 is 60
60×6=360

so 360 sq inches are used for tomatoes.

600-360=240

240 square inches are left

240/3 = 80 square inches used for lettuce

240-80=160

therefore she uses 160 square inches of garden for fresh herbs! :)

You are dealt one card from a 52-card deck. find the probability that you are not dealt: a heart.

Answers

3/4 or 75% chance you're not dealt a heart

How many diagonals can be drawn from one vertex of a hexagon

Answers

the hexagon has 6 vertices with 3 diagonals which gives you 18 divided by 2 = 9 diagonals

Nine diagonals can be drawn from the vertex of a hexagon.

What is diagonal?

A diagonal of a polygon is a line segment joining two vertex points, excluding the sides of the polygon.

The formula used to find the number of diagonals of a polygon is

(n(n-3))/2

where n is the number of sides of the polygon.

A hexagon has six sides. So, n=6.

The number of diagonals in a hexagon is given by

(6(6-3))/2=9

Hence, a hexagon has nine diagonals.

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5c+2(10−c) ????????

(x+8) - (X-8) ?????

Answers

Hi again!

[tex]5c + 2(10-c) Use the distributive property =5c+(2)(10)+(2)(-c) =5c + 20 -2c = 3c + 20 -------------------------- (x+8)-(x-8) x + 8 - x + 8 = 16 Best of luck! [/tex]

What is 4.14 trillion in scientific notation?

Answers

Okay. I think it has to be 4.14 * 10^12. Because 10^12 is equivalent to 1 trillion and you have the decimal 4.14, which mashed up with the powers of 10 exponents to give you your answer. 4.14 trillion in scientific notation is 4.14 * 10^12.

The given data can be written in scientific notation as 4.14 × 10¹².

How to write a number in scientific notation?

In order to write a number in scientific notation, express the number in terms of the product of a number between 0 to 10 and the power of 10.

For example, 32 can be written as 3.2 × 10¹.

Here, 3.2 is between 0 and 10 and the power of 10 is 1

The given data is 4.14 trillion.

Since, one trillion can be written as,

1 trillion = 1,000,000,000,000

The number of zeros is 12.

In the scientific notation 4.14 trillion can be written as below,

4.14 × 10¹²

Hence, the scientific notation of the given data is 4.14 × 10¹².

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If the width of the rectangle is three times the length and the perimeter of the rectangle is 72 ft, what are the length and width of the rectangle?

Answers

W=3L
W+W+L+L=72
Replace W with 3L: 3L+3L+L+L=72
8L=72
L=9
W=27

Write an algebraic expression for the phrase. 8 times the quantity d minus 3 8d – 3 8(d – 3) d(8 – 3)

Answers

8(d-3)

The quantity is what is in the parentheses which is d-3. Then, you multiply that quantity by 8 because it it's being "timesed"? (multiplied) 8 times.

I think it's 10 maybe maybe not lol

How to know if a line is parallel perpendicular or neither?

Answers

Parallel lines have the same slopes and don't intersect. Perpendicular lines have opposite slopes and intersect at right angles. If it is neither, the lines would intersect without right angles.

PLEASE HELP ME ASAP!!!

1. The average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents. What is the z-score of glass cleaner with a cost of 10.1 cents per ounce?

A. 0.96
B. 1.31
C. 1.94
D. 4.04
E. none of the above

2. A candy bar takes an average of 3.4 hours to move through an assembly line. If the standard deviation is 0.5 hours, what is the probability that the candy bar will take between 3 and 4 hours to move through the line?

A. .2119
B. .2295
C. .6731
D. .3270
E. .8849

3. The average noise level in a diner is 30 decibels with a standard deviation of decibels. 99% of the time, the noise level is below what value?

A. 16.04
B. 30.00
C. 36.00
D. 43.96
E. 48.00

4. The mean income per household in a certain state is $29,500 with a standard deviation of $5,750. The middle 95% of incomes is between what two values? The incomes are normally distributed.

A. $23, 750 and $35,250
B. $18,000 and $41,000
C. $29,500 and $41,000
D. $12,250 and $46,750
E. $12,325 and $81,550

Answers

Part 1:

The z-score of a value, a, given the mean, μ, and the standard deviation, σ, is given by

[tex]z= \frac{a-\mu}{\sigma} [/tex]

Thus, given that the average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents.

The z-score of glass cleaner with a cost of 10.1 cents per ounce is given by

[tex]z= \frac{10.1-7.7}{2.5} = \frac{2.4}{2.5} =\bold{0.96}[/tex]

Part 2:

Assuming the data is normally distribution, the probability that a normally distributed data is between two values a and b is given by

[tex]P(a\ \textless \ X\ \textless \ b)=P(X\ \textless \ b)-P(X\ \textless \ a) \\ \\ =P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Thus, given that a candy bar takes an average of 3.4 hours to move through an assembly line and that the standard deviation is 0.5 hours.

The probability that the candy bar will take between 3 and 4 hours to move through the line is given by

[tex]P(3\ \textless \ X\ \textless \ 4)=P(X\ \textless \ 4)-P(X\ \textless \ 3) \\ \\ =P\left(z\ \textless \ \frac{4-3.4}{0.5} \right)-P\left(z\ \textless \ \frac{3-3.4}{0.5} \right)=P(z\ \textless \ 1.2)-P(z\ \textless \ -0.8) \\ \\ =0.88493-0.21186=\bold{0.6731}[/tex]

Part 3

Given that the average noise level in a diner is 30 decibels with a standard deviation of 4 decibels.

The value for which the noice level is below 99% of the time is the value for which the probability that the noice level is below that value is 0.99.

Assuming the data is normally distribution, the probability that a normally distributed data is less than a value, a, is given by

[tex]P(X\ \textless \ a)=P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Thus, given that the average noise level in a diner is 30 decibels with a standard deviation of 4 decibels.

The value for which 99% of the time, the noise level is below is obtained as follows:

[tex]P(X\ \textless \ a)=0.99 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{a-30}{4} \right)=P(z\ \textless \ 2.33) \\ \\ \Rightarrow\frac{a-30}{4}=2.33 \\ \\ \Rightarrow a=4(2.33)+30=\bold{39.32}[/tex]

Note: there is standard deviation value was omitted in the question post but I used 4 as my standard deviation. So you can substitute the appropriate standard deviation for you question.

Part 4:

From the empirical rule, it is known that for a normally distributed data that 95% of the data are within 2 standard deviations.

Thus, given that the mean income per household in a certain state is $29,500 with a standard deviation of $5,750.

The values between which 95% of the incomes lies is obtained as follows:

[tex]95\% \ of \ the \ data \ lies \ between \ \mu\pm2\sigma=\$29,500\pm2(\$5,750) \\ \\ =\$29,500-\$11,500 \ and \ \$29,500+\$11,500=\bold{\$18,000 \ and \ \$41,000}[/tex]

Final answer:

The student's questions involve calculating z-scores and applying knowledge of normal distributions to determine probabilities and percentile ranges within a set of data. Correct answers include finding the z-score for glass cleaner costs, determining the probability of assembly line time for a candy bar, identifying the noise level not exceeded 99% of the time in a diner, and calculating the income range for the middle 95% in a state.

Explanation:

To solve these problems related to standard normal distribution and probabilities, we'll follow a step-by-step process. For each question, you'll either need to calculate a z-score or apply knowledge of normal distributions.

The z-score for a glass cleaner costing 10.1 cents per ounce when the mean cost is 7.7 cents and the standard deviation is 2.5 cents is calculated as: z = (10.1 - 7.7) / 2.5 = 0.96. The correct answer is A.The probability of a candy bar taking between 3 and 4 hours through the assembly line involves finding the area under the normal curve between these two z-scores: z for 3 hours and z for 4 hours. Use z-tables or calculators to find P(3 < X < 4) = P(Z < (4 - 3.4) / 0.5) - P(Z < (3 - 3.4) / 0.5) which gives us C. 0.6731.To find the noise level that is not exceeded 99% of the time, use the z-score that corresponds to 99% in the standard normal distribution and multiply by the standard deviation and add to the mean. This gives us 43.96 decibels, with D being the correct answer.The middle 95% of normally distributed incomes is found using z-scores that correspond to the 2.5th percentile and 97.5th percentile because 95% is in between. The correct answer is A. $18,000 and $41,000.

find the product of (a²+b)(2a²-5b)

Answers

the answer is: 2a^4 - 3a^2 b - 5b^2

What is 12.1167 rounded to the nearest hundredth?

Answers

12.12

HELPS ASAP PLEASE!!!!

Find the product of -9 and -3.

A. 27
B. -27
C. 3
D. -3

Answers

It's 27 because two negatives cancels each other out.

Postive 27. Hope this helped

the recommended dosage of a drug for pediatric patients is 200 mg per kilogram of a patients weight if janine weights 76lb how much of the drug should she get

Answers

To determine the dosage of a drug for Janine, who weighs 76 pounds, convert her weight to kilograms and then multiply by the recommended dose per kilogram. The conversion and the dose calculation led to approximately 6894.6 mg of the drug.

The recommended dosage of a drug for pediatric patients is 200 mg per kilogram of the patient's weight. To calculate the dosage for Janine, who weighs 76 pounds, we first need to convert her weight from pounds to kilograms, as dosages are usually measured in metric units. To do so, we use the conversion factor where 1 kilogram equals 2.20462 pounds.

First, we convert Janine's weight to kilograms:
[tex]\frac{76}{2.20462}[/tex] lb/kg = 34.473 kg roughly.

Next, we calculate the total dosage needed in milligrams by multiplying her weight in kilograms by the dosage per kilogram:
34.473 kg * 200 mg/kg = 6894.6 mg.

Therefore, Janine should receive a dose of approximately 6894.6 mg of the drug.

Boats can travel anywhere between 50 and 150 kilometers per hour. Choose a speed between 50 and 150. Convert the speed you chose into meters per second and explain how you set up the conversion factor.

Answers

I choose 100 km/h. This is 27.77778 m/s In order to convert between kilometers per hour and meters per second we must make two conversions. One for kilometers to meters and another for hours to seconds. There are 1000 meters in a kilometer: 100 km/h * 1000m/km = 100000m/h There is one hour in 60 minutes: 100000m/h * (1h/60m) = 1666.667m/min There is one minute in 60 seconds: 1666.667m/min * (1min/60s) = 27.7778 m/s

Gail owns a small business. There was a profit of $43 on Saturday and a loss of $48 on Sunday. Find the total profit or loss for the weekend.

A) $5 profit

B) $5 loss

C) $91 loss

D) $91 profit

Answers

B) because 43-48=5 so your answer should be B)

Three interior angles of a quadrilateral measure 55, 117 and 120 degrees. What is the measure of the fourth interior angle?

Answers

4 angles = 360

120 + 117 +55 = 292

360-292 = 68

4th angle = 68 degrees

Find the real roots of the equation x^4-5x^2-36=0

Answers

Treat x^4 as the square of p: x^4 = p^2.

Then x^4 - 5x^2 - 36 = 0 becomes p^2 - 5p - 36 = 0.

This factors nicely, to (p-9)(p+4) = 0. Then p = 9 and p = -4.

Equating 9 and x^2, we find that x=3 or x=-3.
Equating -4 and x^2, we see that there's no real solution.

Show that both x=3 and x=-3 are real roots of x^4 - 5x^2 - 36 = 0.

Quadratic inequalities

Answers

see picture for rough graph

for lunch , you must choose a sandwich, a piece of fruit, and a drink. your choices include a ham sandwich, tuna sandwich, or cheese sandwich; an apple or an orange; and skim milk, whole milk, fruit juice, or bottle water. how many combinations of choices are possible

Answers

8+8+8+8=32, the concept will catch on. write on a piece of paper all the choices and add them all up

if f(x)= 5x +40 what is f(x) when x= -5

Answers

To find the answer, you would substitute -5 in for each x. The equation would look like this: f(x)=5(-5)+40. The answer is 15. Hope this helps!

f(-5)=5(-5)+40
f(-25)=5+40.
f(-25) is your answer.

How many people lost their jobs when minimum wage increased from $12 to $18?

Answers

According to your graph, 15 people lost their jobs. y and x axis

Answer:

15 people lost their jobs when minimum wage increased from $12 to $18

Step-by-step explanation:

When the minimum wage is $12

Then by looking at the given graph :

Number of labors supplied = 33

Number of labors in demand = 33

So, it is an equilibrium wage for the system.

Now, when the minimum wage increased from $12 to $18

From the given graph :

Number of labors supplied = 45

Number of labors in demand = 18

⇒ Number of labors working when wage is $12 = 33

And when the wage is $18, no. of labors working or are in demand = 18

⇒ Number of workers who lost their job = 33 - 18 = 15

Hence, 15 people lost their jobs when minimum wage increased from $12 to $18

Find the volume of a cube that will hold sixty-four 4.19 in3 toy bouncy balls. (round to nearest whole number)

Answers

The answer is 512in^3

we know that

The volume of the ball (sphere) is equal to

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

In this problem we have

[tex]V=4.19\ in^{3}[/tex]

Find the radius of the sphere

[tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substitute the value of V

[tex]r=\sqrt[3]{\frac{3*4.19}{4\pi}}=1\ in[/tex]

for the calculation of the total volume I will assume that each ball is a cube

The volume of each ball is

[tex]V=b^{3}[/tex]

where

b is the diameter of the ball

[tex]b=1*2=2\ in[/tex]

Substitute

[tex]V=2^{3}=8\ in^{3}[/tex] ------> volume of each ball in the shape of cube

Multiply by [tex]64[/tex]

[tex]64*8=512\ in^{3}[/tex]

therefore

the answer is

[tex]512\ in^{3}[/tex]

What is 2 1/5, 2.25, 8/20, 2.8 all
from least to greatest

Answers

2.2 , 2.25, .4, 2.8

Order from least to greatest is
.4 2.2 2.25 2.8

2.2. 2.25. .4. 2.8

8/20, 2 1/5, 2.25, 2.8

What is the value of x in the equation below?

–3 – (–8) – (–2) = x

Answers

If I'm not mistaken (it's been a while since I was in school) I believe the answer is x=11.

The answer would be x=7

-7+n/5= -11 can someone help me I'm bad a math

Answers

n/5 - 7 = -11

n/5 - 7 (+7) = -11 (+7)

n/5 = -4

n/5 (5) = -4(5)

n = -20

hope this helps

The answer is n = -20. To check do pemdas.
-20 / 5 = -4.
-7 + -4 = -11
So, your answer is -20.

Hope I helped! ☺♥

Use implicit differentiation to find the slope of the tangent line to the curve 4 x^2 - 3 xy + 4 y^3 = -113 at the point ( -1,-3 ).

Answers

f'(x, y) = 8x -3xydy/dx +12y²dy/dx = 0
(12y² -3xy)dy/dx = -8x
dy/dx = -8x/[12y² -3xy]
dy/dx |(x=-1 , y=-3) : = -8(-1)/[12(-3)² - 3(-1)(-3)]
= 8/[108 -9]
=8/99

what are the zeros of f(x)=x^2+7x+5

Answers

Put it in a calculator

PLEASE HELP ME!!! WORTH 10 POINTS!!!
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (1, 2). Use the box provided or the upload option to submit all of your calculations and final answer.

Answers

First, solve for slope.
Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{-2-2}{-1-1} = - \frac{4}{2} = 2[/tex]
Slope: [tex]2[/tex]
Second, we must plug into point-slope form.
Formula for point-slope: [tex]y-y1=m(x-x1)[/tex]
Plug in the values: [tex]y-2=2(x-1)[/tex]

And there you have your answer in point-slope form

Point-slope formula : y - y₁ = m(x - x₁) ; passes through (1, 2)

We first need to find the slope.

Slope formula : m = y₂-y₁ / x₂-x₁

The graph gives us 2 points : (1, 2) & (-1, -2)

Simply plug everything in! :)

m = -2 - 2 / -1 -1

Simplify.

m = -4/-2

Simplify.

m = 2

So, our slope is 2.

Now that we have the slope as well as a plot, we can plug this into the point-slope formula.

Remember : y - y₁ = m(x - x₁) is the point-slope formula.

m = 2 ; Passes through (1, 2)

Plug everything in :)

y - 2 = 2(x - 1)

~hope I helped!~

Which of the following is the quadratic parent function

Answers

Answer:

A. F(x)=x^2

Step-by-step explanation:

Answer: Option A F(x)=[tex]x^{2}[/tex]

Explanation:

Quadratic function is the function which has degree two

Degree is the highest power of a polynomial

In option B we have |x| in which degree is one hence, discarded

In option C we have [tex]x^{3}[/tex] in which degree is three hence, discarded

In option D we have x which is a linear function being of degree one. Hence, discarded.

I really need help doing this spelling plz answer really Quick

Answers

11.= potatoes
12. = reptiles
13. = rodeos
14. = countries
15. = taxes
16. = zeroes
17. = difficulties
18. = lashes
19. = abilities
20. = losses

A. Matching Definitions:

1 small whirls - eddies

2. snake teeth - fangs

3. rattlesnakes - rattles

4. defeats; failures - losses

5. freedoms - liberties

6. skills; talents - abilities

7. bunches or groups - batches

8. eyelid hairs - lashes

9. nations - countries

10. accepted truths - beliefs

How to perform the completing sentences

11. The cook put potatoes and carrots in the stew.

12. Are crocodiles and alligators reptiles?

13. Many rodeos have riding and roping events.

14. The travelers were happy in their new surroundings.

15. Our taxes will be used to build new schools.

16. The numeral 100 has two zeroes.

17. He searched the paper for job opportunities.

18. You can use an ax to put notches in a log.

19. The clever criminal had many different identities.

20. Pioneers faced many difficulties in the wilderness.

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