The rectangle shown is dilated by a scale factor of 1/5
What is the length of side A'B' and side B'D'?

The Rectangle Shown Is Dilated By A Scale Factor Of 1/5What Is The Length Of Side A'B' And Side B'D'?

Answers

Answer 1

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm


Related Questions

My ice maker created the perfect cube today. Each side was 22 mm.
What is the volume of the ice cube?

Answers

10,648 mm...... volume formula

estimate 3655 + 498 rounding off to the nearest hundred​

Answers

Answer:4200

Step-by-step explanation:

3655+498=4153

4153 approximated to the nearest hundred is 4200

Will mark brianliest if correct,

If Oliver paid $22,how many times did he ride the Ferris wheel?

Math

If u need more information please tell me. Look at the picture

Answers

Answer:

11 times

Step-by-step explanation:

So if you look at the point where the line is on two real numbers at the top of the grid, it shows that it cost $10 for every 5 rides. So if you find the unit rate, divide 10 by 5 to see how much each ride cost, you get that each ride cost $2. Then just divide $22 by $2 and you get 11. Hope this helps, comment if you need more help

Do you remember the difference between a row and a column
in Math?

Answers

A column is vertical. A row it horizontal

Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. White. Gus, their boss, is tired of Mr. White’s negative attitude and is thinking about "firing" him and keeping only Jesse on the payroll. The problem, however, is that Mr. White seems to produce a higher quality sauce whenever he is in charge of production if compared to Jesse. Before making a final decision, Gus collected some data measuring the quality of different batches of sauce produced by Mr. White and Jesse. We assume the quality measurements for both of them are normally distributed with the common variance. The results, measured on a quality scale, are listed below:
Mr. White 97 1 7
Jesse 94 3 10
a. Based on this data, can we tell for sure (with 95% confidence) which one is the better chemist?
b. Gus wants to keep the mean quality score for the sauce above 90. In this case, can he can rid of Mr. White, i.e., is Jesse good enough to run the sauce production?

Answers

Answer:

Check the explanation

Step-by-step explanation:

Let [tex]\overline{x}[/tex] and [tex]\overline{y}[/tex] be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume [tex]\overline{x}[/tex] having with mean [tex]\mu_{1}[/tex] and [tex]\overline{y}[/tex] having mean [tex]\mu_{2}[/tex]

Also we have given the variance is constant

A)

We can test hypothesis as

[tex]H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}[/tex]

For this problem

Test statistic is

[tex]T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}[/tex]

Where

[tex]s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}[/tex]

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Zoe is not correct because equilateral triangles have three acute angles. Acute triangles have three acute angles, so acute triangles are always equilateral triangles.
Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle.
THE ANSWER IS NOT C

Answers

Answer:

  Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Step-by-step explanation:

Logically, it makes no sense for Zoe to say, in effect, ...

  "All E are A, but A are never E."

That is incorrect on its face. At least, it means that "sometimes A are E."

__

The appropriate choice is the first one:

Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Help ASAP giving BRAINLIEST! Am i correct?

Answers

Answer:

The answer is yes

Step-by-step explanation:

x-7 > 27

x> 27 +7

x > 34

Answer:

Yes

Step-by-step explanation:

We have the inequality:

x-7 > 27

To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.

x-7+7>27+7

x>34

So, your answer is correct

100 POINTS
PLEASE SOLVE WITH STEPS.

THANK YOU!!!

Answers

Answer:

y = -3π/2 x + π

Step-by-step explanation:

sin(xy) = ½

The slope of the tangent line is dy/dx.  Take the derivative of both sides with respect to x.  You'll need to use chain rule and product rule.

cos(xy) (x dy/dx + y) = 0

x dy/dx + y = 0

x dy/dx = -y

dy/dx = -y/x

At x = ⅓ and y = π/2:

dy/dx = -(π/2) / ⅓

dy/dx = -3π/2

Using point-slope form of a line:

y − π/2 = -3π/2 (x − ⅓)

Simplifying to slope-intercept form:

y − π/2 = -3π/2 x + π/2

y = -3π/2 x + π

r=8
What is diameter and circumference?

Answers

Answer:

C = 50.24

Step-by-step explanation:

First, you multiply 8 by 2, to get the diameter of of 16

Then all you do is, multiply by 3.14(π) and the circumference is 50.24

Hope this helps! :)

50.265 is the circumference (pi*(2)radius)
Diameter is 16

Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off

Answers

Answer:

The probability that all compressors are off = P(A ∩ B') = 0.18

Step-by-step explanation:

Event A is denoted to reciprocal compressor (R) that is always off.

Event B is denoted that at least one of the screw type of compressor is always on.

P(A) = Probability that the reciprocal compressor is off.

P(A') = Probability that the reciprocal compressor is on.

P(B) = Probability that at least one of the screw type of compressor is on.

P(B') = Probability that at least one of the screw type of compressor is off.

P(A ∩ B) = 45% = 0.45

P(A ∪ B) = 93% = 0.93

P(U) = P(A ∪ B) + P(A' ∩ B')

1 = 0.93 + P(A' ∩ B')

P(A' ∩ B') = 1 - 0.93 = 0.07

The probability that all compressors are off is given as P(A ∩ B')

P(A) = P(A n B') + P(A n B)

P(B) = P(A n B) + P(A' n B)

The question asks us to assume that all outcomes in event B are equally likely.

The possible outcomes in event B include

- The two compressors are on

- First compressor is on, second compressor is off

- Second compressor is on, first compressor is off

- both compressors are off

Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)

P(B) = P(A n B) + P(A' n B)

0.75 = 0.45 + P(A' n B)

P(A' n B) = 0.75 - 0.45 = 0.30

P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)

0.93 = P(A ∩ B') + 0.30 + 0.45

P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18

Hope this Helps!!!

The diameter of a circular placement is 42 centimeters what is the approximate area of the circular placement

Answers

The answer is 1385.44cm²

Find the prime factorization of the integer -32

Answers

Answer:-32=-2 x -2 x -2 x -2 x -2

Step-by-step explanation:

-32=-2 x -2 x -2 x -2 x -2

what is the equation of the line?

Answers

Answer:

y=a

Step-by-step explanation:

I hate math 23457 poke help

The diameter of a cylindrical water tank is 8 ft, and its height is 9 ft. What is the volume of the tank?

Use the value 3.14 for it, and round your answer to the nearest whole number.

Be sure to include the correct unit in your answer.

Answers

Answer:

The volume of the tank is [tex]452\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cylindrical water tank is 8 ft

Height of the water tank is 9 ft.

It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :

[tex]V=\pi r^2h[/tex]

r is radius of cylindrical tank, r = 4 ft

Plugging all the values in above formula,

[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]

or

[tex]V=452\ \text{feet}^3[/tex]

So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].

i will rate you
brainliest PLZ HELP
You will get 25 points

Answers

Answer:

i can not see the picture can you describe it

Step-by-step explanation:

A boat travels 432km in 24 hours how far can it travel in 16 hours?

Answers

Answer:

First find the distance per hour by dividing

432/24=18

multiply the rate with 16 hours

18 km per hour x 16 hours = 288 km in 16 hours

Step-by-step explanation:

Answer:

288km

Step-by-step explanation:

if a boat travels 432km in 24 hours .

then

it will cover x km in 16 hours

Using Direct Proportion:

[tex] \mathsf{x = \frac{432 \times 16}{24} } [/tex]

[tex] \mathsf{x = \frac{432 \times 2}{3} }[/tex]

[tex] \mathsf{ x = 144 \times 2}[/tex]

[tex] \boxed{ \mathsf{ \implies \: 288km}}[/tex]

hence the boat is gonna travel 288km in 16 hours

Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of
lettuce starts and ends?
(-4,-1) and (-4,7)
| (-1, –4) a (
74)
(-1,-6) and (8,-6)
(-6, -1) and (-6,8)

Answers

Answer:

(-4,-1) and (-4,7)

Step-by-step explanation:

If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.

Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.

Therefore, the answer is (-4,-1) and (-4,7)

Answer:

(-4, -1) and (-4, 7)

Step-by-step explanation:

I did the quiz

Which expression is equivalent to (1/16)^-4?

Answers

Answer:

Answer: Option B. 16^4 is the correct answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

helppppppppppppppppppp

Answers

Answer: im like 90 percent sure its c

Step-by-step explanation:

What is the value of x?
12 units
15 units
20 units
24 units

Answers

Answer:

15 units

Step-by-step explanation:

After doing research, I found the problem. Here is the right answer:

Answer:

It's 20 :)

Step-by-step explanation:

Just took it on Edge.

400.0 ml of a gas are under pressure of 80.0 kpa what would the volume of the gas be at a pressure of 100.0 kpa

Answers

Answer:

The final volume is 320 mL at pressure of 100 kPa.

Step-by-step explanation:

Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

[tex]V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2[/tex]

Let

[tex]V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa[/tex]

We need to find [tex]V_2[/tex]. Using above equation, we get :

[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL[/tex]

So, the final volume is 320 mL at pressure of 100 kPa.

Solve for a .

5 a - 2 = 23
a =

Answers

Answer:

A=5

Step-by-step explanation:

5 times 5 is 25

25-2 is 23

A= 5
5*5 =25
25-2=23

Which equation represents a nonlinear function?
A) y=2(x-1)+5
B)y=5x(x-2)
C) y=5x-2
D)y=2x(5-1)

Answers

Answer:

B.)

Step-by-step explanation:

A linear equation, remember, is y = mx + b.

Identify.

A.) y = 2x + 3

B.) y = 5x^2 - 10x

C.) y = 5x - 2

D.) y = 8x

Eliminate.

Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.

Hope that helped.

Identify the graph of the equation... Then find q to the nearest degree.

16x^2+2xy+y^2-16=0

Answers

We need a picture of the graph first

Answer:

ellipse ; 4 degrees

Step-by-step explanation:

edge’s possible answer 2020

8 cm
Answer:
cm
Part B
Find circumference of the circle. Use
= 3.14.
A 25. 12 cm
B 50.24 cm
C 73.06 cm
D
200.96 cm​

Answers

Answer:

D.200.96 cm

Step-by-step explanation:

Given radius (R) = 8

Diameter = 2R = 16

Circumference = 2πR

= 16π

= 50.265482457437

Area = πR2

= 64π

= 201.06192982975

PLEASE ANSWER AS QUICKLY AS POSSIBLE

Answers

Answer: D

Step-by-step explanation: Both the Equality property and the Identity property

The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?​

Answers

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

Pls answer this I give brainliest thank you! Number 2

Answers

Answer:

D

Step by Step Explanation:

To find the volume of a cube, you need to cube the side length. In this case, since the side length is 8, the volume is 8^3=512 cubic inches, or answer choice D. Hope this helps!

In ΔKLM, the measure of ∠M=90°, KM = 48, LK = 73, and ML = 55. What ratio represents the cosine of ∠L?

Answers

Answer:

cos L = 55/73

Step-by-step explanation:

The triangle KLM is a right angle triangle. The ∠M = 90°. The side KM = 48, LK = 73, and ML = 55. The ratio that represents the cosine of ∠L can be solved below.

The right angle triangle formed has an hypotenuse , opposite and an adjacent side. Using the SOHCAHTOA principle one can find the ratio that represent the cosine of ∠L.

opposite side = 48

adjacent = 55

hypotenuse = 73

cos L = adjacent/hypotenuse

cos L = 55/73

If h = 85 cm and 1 = 36 cm, what is the length of g?
A. 77 cm
B.
92 cm
C
49 cm
D
75 cm

Answers

Answer:A

Step-by-step explanation:

h=85 f=36

Since it is a right angled triangle we can apply Pythagoras principle to get g

g=√(h^2 - f^2)

g=√(85^2 - 36^2)

g=√(85x85 - 36x36)

g=√(7225 - 1296)

g=√(5929)

g=77

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