A parallelogram has an area of 10square feet.
a.Complete the table that shows the relationship between the dilated area ( ) and
the scale factor ( y).

A Parallelogram Has An Area Of 10square Feet.a.Complete The Table That Shows The Relationship Between

Answers

Answer 1

All answers are listed below:

For A = 0 ft², the scale factor is 0.For A = 40 ft², the scale factor is 2.For A = 160 ft², the scale factor is 4.For A = 360 ft², the scale factor is 6.For A = 640 ft², the scale factor is 8.

How to determine the dilated area of a parallelogram

The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:

A = k² · b · h   (1)

Where k is the scale factor.

And we can derive a scale factor by comparing two areas:

[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex]   (2)

Where [tex]A_{o}[/tex] is the original area, in square feet.

If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:

For A = 0 ft², the scale factor is 0.

For A = 40 ft², the scale factor is 2.

For A = 160 ft², the scale factor is 4.

For A = 360 ft², the scale factor is 6.

For A = 640 ft², the scale factor is 8.

To learn more on scale factors, we kindly invite to check this verified question: https://brainly.com/question/22312172

Answer 2

dilated area in square feet (x) scale factor (y)

0 0

40 2

160 4

340 6

640 8


Related Questions

Please help guys love you

Answers

Answer:

1: Side-Side-Side theorem

2: Side-Angle-Side theorem

3: Angle-Side-Angle theorum

4: Side-Angle-Angle theorum

Step-by-step explanation:

Look at the order of the sides and/or angles of the triangles. Because both of the triangles have the same sides/angles based off either the side-side-side, side-angle-side, angle-side-angle, or side-angle-angle theorem, they are congruent.

Hope this helps! :)

Expand and simplify (2x−12)^2. Is this a special product?

Answers

Answer:

Step-by-step explanation:

(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes

4(x^2 - 12x + 36).  Yes, this is a special product of the form

(a - b)^2 = a^2 - 2ab + b^2.

can someone answer this? What is (-3+5x)= 9?

Answers

Answer:

(-3+5x)=9

open the bracket.

-3+5x=9

collect like terms.

5x=9+3.

5x=12

divide both side by 5

5x/5=12/5

x=2.4

8 piglets are evenly sharing 5 liters of milk.
How many liters of milk should each piglet get?
Choose 1 answer:
A. 1 3/8 liters of milk
B. 13/8 liters of milk
C. 5/8 liters of milk
D. 8/5 liters of milk

Answers

Answer:

C.

Step-by-step explanation:

5 liters divided by 8.

5 divided by 8 = 5/8

Answer: 5/8 liter

Find the component form and magnitude of vector RS.
R=(8,-8) S=(4,7)
Thank you!

Answers

[tex]\stackrel{R}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})}\qquad \stackrel{S}{(\stackrel{x_2}{4}~,~\stackrel{y_2}{7})}~\hfill \stackrel{\textit{component form}}{(x_2-x_1~~,~~y_2-y_1)} \\\\[-0.35em] ~\dotfill\\\\ (4-8~~,~~7-(-8))\implies (-4~~,~~7+8)\implies \stackrel{\textit{component form}}{(\underset{a}{-4}~~,~~\underset{b}{15})} \\\\\\ ||RS||=\sqrt{a^2+b^2}\implies ||RS||=\sqrt{(-4)^2+15^2}\implies ||RS||=\sqrt{241}[/tex]

How much faster, in miles per minute, does Zoe bike in the first 5 minutes (0 – 5) of her trip compared to the last 5 minutes (20 – 25) of her trip?


A. 0.1 mile/minute faster

B. 0.3 mile/minute faster

C. 0.4 mile/minute faster

D. 0.5 mile/minute faster

Answers

Using proportions, it is found that the correct option regarding how much faster she is in the first 5 minutes compared to the last 5 is given by:

B. 0.3 mile/minute faster

What is a proportion?

A proportion is a fraction of a total amount

Researching the problem on the internet, it is found that on the first 5 minutes, she bikes 2 miles, hence the ratio is:

r1 = 2/5 = 0.4 miles/minute.

On the last 5 minutes, she bikes 0.5 miles, hence:

r2 = 0.5/5 = 0.1 miles/minute.

The difference is given by:

D = 0.4 - 0.1 = 0.3 miles/minute.

Which means that option B is correct.

More can be learned about proportions at https://brainly.com/question/24372153


Darnell has 3 pies. He gives each of his five friends 3/8 of a pie.How much pie does Darnell have left?

Answers

Answer:

1 1/8

Step-by-step explanation:

Darnell gives his friends

5*3/8 = 15/8 = 1 7/8 pie

Remaining pie

3 - 1 7/8 = 1 1/8

Answer:

[tex]\huge\boxed{\bf{Leftover\:Daniel\:pie = 1\frac{1}{8}pie}}[/tex]

Step-by-step explanation:

Given:-

Daniel have 3piesgive to five friend [tex]\frac{3}{8}[/tex]of a pie

To find: -

Leftover Daniel pie?

Ans:-

The first step is to find a lot of cakes that will be given to five of Daniel's friends

[tex]\sf \to 5*\frac{3}{8} = \frac{5*3}{8} = \frac{15}{8}pie[/tex]

Finally we determine the rest of Daniel's pie

[tex]\sf \to 3 - \frac{15}{8} = \frac{24}{8} - \frac{15}{8} = \frac{9}{8}pie[/tex]

Therefore leftover Daniel pie is = [tex]\frac{9}{8}[/tex]pie or [tex]1\frac{1}{8}[/tex]pie

[tex]\:[/tex]

[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]

The angle of elevation of the top of a building from the foot of a tower is 70° and the angle of elevation of the top of the tower from the foot of the building is 40°. Find the height of the building if the tower is 50 m tall.

Answers

The height of the building located at a distance from the tower is approximately 163.716 meters.

How to determine the height of a building

After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.

Now we proceed to calculate the height of the building:

[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]

h ≈ 163.716 m

The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]

To learn more on trigonometric relationships, we kindly invite to check this verified question: https://brainly.com/question/6904750

Which expression is equivalent to 3/5?

Answers

Answer:

6/10 or 0.6 or 60% Hopefully this helps

Answer:

The fractions equivalent to 3/5 are 6/10, 9/15, 12/20, etc. Equivalent fractions have the same value in the reduced form. Explanation: Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.

Step-by-step explanation:

What is the formula for area of a triangle?

Answers

Answer:

bh/2

Meaning :

base times height, halfed

Answer:

Step-by-step explanation:

A = hb/2 or 1/2×hb

Where h is the vertical height and b is the base length.


What is the exponent of y after you have simplified the foollowing problem?
Blank 1:
Review Answers

Answers

Answer:

y (I think you enter just 6 in your problem)

64x¹⁸y⁶ (Simplified)

In the Simplified problem above y has an exponent of 6.

Find the length of the third side to the nearest tenth

Answers

The answer is 1.4 - (This is rounded to the nearest tenth.)

Answer: ≈ 1.4.

Step-by-step explanation: To find the hypotenuse of a triangle (the longest side of a triangle), you need to add the legs (the two sides of the triangle that are not the hypotenuse). You need to have ^2 when adding each leg.  For example, both legs are 1 so when you're adding them, the equation should look like this--> 1^2 + 1^2.  Then, once you find the answer to that, you need to find the square root of the answer.  The work is done below:

1^2 + 1^2 = 2.

√2 ≈ 1.41421356 or ≈ 1.4.

Therefore, your answer is ≈ 1.4.

Let me know if this is right! :)

Write an equation for a line that contains the point (0,4) that is parallel to the
equation below.
y= -7x+1

Answers

Step 1: Find the Slope

Parallel lines have the same slope, therefore the slope of our new line is also -7.

Step 2: Find the Y-Intercept

Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

Slope = -7

Point = (0, 4)

4 = -7(0) + b

b = 4

Step 3: Form the Equation of the Line

Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.

Slope-Intercept Form: y = mx + b

m = -7

b = 4

Equation of the New Line: y = -7x + 4

Answer: y = -7x + 4

Hope this helps!

Answer:

y = -7x + 4

Step-by-step explanation:

Given

point = (0, 4)parallel to y = -7x + 1

Solving

Slope of new line is also -7y - 4 = -7(x - 0)y - 4 = -7xy = -7x + 4

Find the volume of the sphere in terms of π.

A) 972 π cm3
B) 7776 π cm3
C) 36 π cm3
D) 24 π cm3

Answers

Answer:

A) 972π cm³

Step-by-step explanation:

d = 18 cm

r = d/2 = 9 cm

V = (4/3)πr³

V = (4/3)π(9 cm)³

V = (4/3)π(729 cm³)

V = 972π cm³

21 POINTS!
Joseph wants to buy a tennis racket and some cans of tennis balls.
The tennis racket costs $85.
Each can of tennis balls costs $2.50.
There is no sales tax.
Joseph has $125 to spend. Which inequality shows how many cans of tennis balls Joseph can buy, x?

A. 2.50x + 85 < 125

B. 2.50x + 85 ≤ 125

C. 2.50x + 85 > 125

D. 2.50x + 85 ≥ 125

Answers

Answer:

B. 2.50 + 85 ≤ 125

Step-by-step explanation:

The total cost of this puurchase must be less than or equal to 125 that is why we use "≤" in this situation, this means that the total of the equation must be equal or equal to 125 exactly

Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,2)~~ \text{and} ~~ (x_2,y_2) =(2,-4)\\\\\text{Slope,}~~m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-4-2}{2-0}=-\dfrac 62 = -3\\\\\\\text{Equation with given points,}\\\\~~~~~~y-y_1 = m(x-x_1)\\\\\implies y-2 = -3(x-0)\\ \\\implies y-2 = -3x \\\\\implies y = -3x +2\\\\\text{This is the equation of line in slope- intercept form(y=mx+c).}[/tex]

Help!! ASAP!!

Teri has scored 73%, 84% and 71% on her first three tests. What percent would she
have to score on the fourth test to have an overall average of 82%?

Answers

Answer:

100

Step-by-step explanation:

You have to find the current average-

73+84+71=228

228/3=76.

228+?=328?

(328=82x4)

328-228=100

!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!

Answers

Answer:

1.77

Step-by-step explanation:

.................

find the measure of angle 8

Answers

Answer:

99 degrees.

Step-by-step explanation:

m < 8 = 99   (corresponding angles are congruent).

Find the values of the following expressions if a = 3,b=2,c=1,x=2 and y=0. Please answer quickly
NO LINKS Please!

Answers

Answer:

- 3

Step-by-step explanation:

a x a x a / 3 - 6 / c x c

3 x 3 x 3 / 3 - 6 / 1 x 1

9 - 6

-3 (ANS)

How do you find the surface area of a cube

Answers

The formula is : A=6a^2

So lets say its a cube with edge lengths of 4

We first find out the area of each side by multiplying 4*4

They you multiple the answer of that, 16, by 6, for each of the sides.

A = 96 Units ^2

What is the MEAN of the following data set?

31, 27, 19, 18, 22, 21, 25, 29, 34, 30

Answers

Step-by-step explanation:

31+27+19+18+22+21+25+29+34+30 divided by 10

Find the following measures and angle measures.

Answers

Answer:

Step-by-step explanation:

A small animal can eat an amount of food that is equivalent to its body weight in 5 hour.
At this rate, what fraction of its body weight in food can the animal eat in 1 hour?
Enter your answer in the space provided. Enter only your answer.

Answers

Answer:

[tex] \frac{1}{5} [/tex]

Enter the total weight of the Cruise Ship 38300000 ( kilograms) using ONLY 10^{7} kilogram weights.

Answers

Answer:

38300000 can be written as 3.83 x 10⁷

Answer:

3.83 x [tex]10^{7}[/tex]

Step-by-step explanation:

38300000/ [tex]10^{7}[/tex] = 3.83

PLEASE HELP BECAUSE I DON"T KNOW INTEGRATION WITH TRIG SUBSTITUTION!!! WILL GIVE BRAINLIEST + 20 POINTS!!!

Answers

The correct from option is B . 4sin(0)

1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?

Answers

Answer:

a) $92.75, b) $371

Step-by-step explanation:

Let the cost be A.

a) Cost to run ad for one week:

A = 35 + 5.25 (15 - 4) = 35 + 5.25*11 = 92.75

b) Cost to run ad for four weeks:

4A = 4*92.75 = 371

Answer:

See below ↓↓

Step-by-step explanation:

Cost to run one week

$35 [first 4 lines] + $5.25 x 11 [15 - 4 = 11 remaining lines]$35 + $57.75$92.75

Cost to run four weeks

Cost of one week x 4$92.75 x 4$368 + $3$371

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

19.5 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

14^2 + b^2 = 24^2

196 + b^2 = 576

Now we subtract!!

576 - 196 = b^2

380 = b^2

Now we find the square root!!

[tex]\sqrt{380}[/tex] = 19.5 :)

Have an amazing day!!

Please rate and mark brainliest!!

find y and w
help please

Answers

Answer:

w = 12

y= 4sqrt2

Step-by-step explanation:

i don’t understand how to solve this, can you help me. I tried dividing by 3 but it’s not right.

Answers

Answer:

Hello Camila Sofia Pazos Motta, you have to divide by pi, not 3.

Step-by-step explanation:

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