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

what is 10x + 45 >120 ​

Answers

Answer:

[tex]0.75 \: \: \: \: or \: \frac{15}{2} [/tex]

Step-by-step explanation:

[tex]10x > 120 - 45 |collect \: like \: terms| \\ 10x > 75 |simplify \: | \\ \frac{10x}{10} > \frac{75}{10} |divide \: both \: side \: by \: 10 | \\ x > 0.75 \: or \: \frac{15}{2} [/tex]

what is 60/ 480 ? without calculator

Answers

Answer:

1/8

Step-by-step explanation:

You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.

Please help with this ........

Answers

Your answer is that all angles are equal to 66.

Angle 3 and angle 7 are equal, which we know because corresponding angles are equal (angles that make an ‘F’ shape).

This means we can form an equation because we know what angle 3 and angle 7 are:

2x + 40 = 3x + 27

- 2x

40 = x + 27

- 27

13 = x

Therefore angle 7 is 3(13) + 27 = 66, and so is angle 3.

We also know that angle 5 is equal to 66, because it is vertically opposite to angle 7 and vertically opposite angles are equal.

I hope this helps!

I WILL GIVE BRAINLYIST IF CORRECT

A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.

A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.

In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.

Answers

Answer:

Perp≈12.6 ft

Step-by-step explanation:

Since this is a right angled triangle, so we'll use the formula

Hypotenuse ²=base²+ perp²

Where hyp=14 , base=6

14²=6²+perpendicular ²

196= 36 + perp²

Perp²=196-36

Perp ²= 160

Taking sq root on both sides

Perp=12.649

Perp≈12.6 ft

Answer:

The guy above me is right 12.6

Step-by-step explanation:

hope he gets brainlist

Give the slope of the line which is parallel to y=−3x+7 (can you give me the equation?)

Answers

Answer:

Slope is -3, equation is y=-3x+b, where b can be any number but not 7.

Step-by-step explanation:

Parallel lines have the same slope, so the slope of a line parallel to this is also -3.

An example of a parallel line to this is y=-3x+2, or y=-3x-4.

Answer:

Step-by-step explanation:

Usually in a problem of this sort you must supply one point through which the new line passes; here you have not yet done that.    

Let's suppose that the new line, which is parallel to y=−3x+7, passes through the point (0, 2).  Remembering that parallel lines have the same slope, we

write the new line as y = mx + b and replace m with -3; we also replace x with 0 and y with 2:

2 = -3(0) + b.  Solving for b, we get b = 2.  Thus, the desired equation of the line parallel to y=−3x+7 and passing through (0, 2) is

y = -3x + 2

find four rational number between -1 and -1/2​

Answers

-1 + 1/99
-1 + 1/98
-1 + 1/97
-1 + 1/96

Answer:

-3/4, -99/100, -7/8, -2/3

Step-by-step explanation:

rational numbers are numbers that can be made by dividing two integers

the numbers that are less than -1/2 and bigger than -1 are options, even -1 and -1/2

Josh types the 5 entries in the works cited page of his term paper in random order, forgetting that they should be in alphabetical order by author. What is the probability that he actually typed them in alphabetical order?

Answers

Answer:

0.83% probability that he actually typed them in alphabetical order.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The number of ways in which n terms can be arranged is given by:

[tex]A_{n} = n![/tex]

Desired outcomes:

Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].

Total outcomes:

We want to arrange 5 entries. So

[tex]T = A_{5} = 5! = 120[/tex]

Probability:

[tex]p = \frac{D}{T} = 0.0083[/tex]

0.83% probability that he actually typed them in alphabetical order.

solve the equation 3+6= -1x+6

Answers

Answer:

x = -3

Step-by-step explanation:

3 + 6 = 9

9 = -1x + 6

-1x = 9 - 6 = 3

x = -3

Answer:

x = -3

Step-by-step explanation:

Determine if y = 5 is a solution for 2y = 15.

Answers

Answer:

y=5 does not equal 2y=15

Step-by-step explanation:

If you plug y into the equation we get 2(5)=15

The next step is to multiply 2*5, which equals 10

10≠15

Answer:

y=7.5

Step-by-step explanation:

Three methods, A, B and C, are available for teaching a certain industrial skill. The failure rate is 15% for A, 5% for B and 10% for C. The method A is used 30%, B is used 40% and C is used 30% of the time. A worker is taught the skill by one of the methods but fails to learn it correctly. a. (10 points) What is the probability that he was taught by method A? b. (5 points) What is the probability of B given A?

Answers

Answer:

a) so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is 0.5

Step-by-step explanation:

With the previous data we know that 3 methods teach an industrial skill and when putting into practice a worker does not learn, we have the failure rates like this:

method A fails 15%

method B fails: 5%

method C fails: 10%

usage percentages:

A: 30%

B: 40%

C: 30%

a) the probability that method A has been taught is as follows:

P (failure rate) = P (A) * P (failure rate A) + P (B) * P (failure rate B) + P (C) * P (failure rate C)

we replace the data obtaining:

P = 0.3 * 0.15 + 0.4 * 0.05 + 0.3 * 0.1 = 0.095

P ( failure rate A) = P (A) * P (failure rate A) / P (failure rate)

we replace the data obtaining:

 0.3 * 0.15 / 0.095 = 0.4737

so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is as follows:

P (B | A) = P (B) = 0.50

Farmer Smith Jr is putting together fruit baskets. He has 240 oranges and 150 grapefruits. What is the largest number of baskets he can put together so that he can have the same number of oranges in each basket and the same number of grapefruits in each basket?

Answers

Answer:

why does it say college even tho this is a question on my homework

Step-by-step explanation:

and i'm in 7th grade.

The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
A.15
B. 75
c. 45
d. 150

Answers

Answer:

d 150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Angle of rotation :(((

Answers

Answer:

144

Step-by-step explanation:

360/5 x 2  = 144

A small company manufactures both large and small grandfather clocks. The company can make no more than 8 clocks a day. They want to build no more than 5 large clocks and no more than 6 small clocks per day. The company makes a profit of $100 on each large clock and $75 on each small clock. The company wishes to maximize its profit.

What is the objective function for this situation?


8 ≥ x + y


8 ≥ 100x + 75y


P ≥ 100x + 75y


P = 100x + 75y

Answers

Answer:

  P = 100x + 75y

Step-by-step explanation:

The objective is profit, so the objective function is the function that defines profit:

 P = 100x + 75y

where x is the number of large clocks made and y is the number of small clocks made per day.

__

Comment on other choices

Inequalities are generally associated with constraints on the manufacturing. Here, those would be ...

0 ≤ x ≤ 5   no more than 5 large clocks0 ≤ y ≤ 6   no more than 6 small clocksx + y ≤ 8   no more than 8 clocks total

The variables are constrained to be non-negative, because we cannot build a negative number of clocks.

__

To maximize profit in this situation, the maximum possible number of large clocks should be produced, since they are the most profitable. Then the remaining capacity should be used to produce as many small clocks as possible: 5 large clocks and 3 small clocks for a profit of $725 per day.

Calculate the lateral area of the rectangular prism if the perimeter of the base is 48 units

Answers

Answer: It’s C just did assignment 288unitssquared

Vanessa about 5 feet of ribbon she cut off 36 inches to wrap a package and 18 inches to decorator's scrapbook how much ribbon does Vanessa have left

Answers

Answer:

0.5 feet left

Step-by-step explanation:

12 inches = 1 foot

36 inches = ? feet

36 × 1 = 36

12 × ? = 12?

36 = 12?

? = 36/12

? = 3 feet

18 inches = x feet

18/12 = 1.5 feet

3 + 1.5 = 4.5 feet total used

5(total) - 4.5(feet used) = 0.5 feet left

6231 rounded to the nearest thousand is. Enter your answer without
commas.

Answers

Midpoint : 6500

Below midpoint (6000 - 6500) : 6000 to the nearest thousand

Past midpoint (6501 - 7000) : 7000 to the nearest thousand

Answer : 6000

Devon borrowed $1058 at 13% interest for 9 months what will he pay an interest

Answers

Answer:

1058 times 0.13= 137.54 then the Answer= 1237.86

Step-by-step explanation: :0

Which unit would be best for measuring the thickness of a coin?

» kilometer
») centimeter
() meter millimeter​

Answers

Answer:

centimeter is the best to meause with

Error Analysis The diameter of the circle is 18 m. Eugene incorrectly says that the circumference
of the circle is about 113.04 m. What is the circumference of the circle? What mistake did Eugene
make? Use 3.14 for .
The circumference of the circle is about m.
(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answers

Answer:56.52m, Eugene used a wrong formula

Step-by-step explanation:

diameter=18m

π=3.14

Circumference of circle=π x diameter

Circumference of circle=3.14 x 18

Circumference of circle=56.52m

Eugene used a wrong formula

Circumference of circle=2 x π x diameter

instead of

Circumference of circle=π x diameter

if 8% is deducted from the bill,$384 bill remains to be paid. How much is the original bill?

Answers

Answer:

$353.28

Step-by-step explanation:

A sphere is inscribed in a cube. Explain the relationship between the surface areas of the two solid figures

Answers

Answer:

No one knows. Jk just go look at the other brainly links. the question has already been asked and answered so you can go see them there.

Step-by-step explanation:

:)

The cost of 900 shares of stock selling for 57 5/8 is

Answers

Answer:

  $51,862.50

Step-by-step explanation:

... the product of the number of shares and the price:

  (900)($57 5/8) = $51,862.50

Answer:

51 862.5

Step-by-step explanation:

If the share cost 57 5/8 per share

It means 900 share would cost

900 * 57 5/8

900 * 461/8 = 51 862.5

solve for x. x/4-1/2(6-x)=7x+3(6-2x)-1

Answers

Answer:46

Step-by-step explanation:

x/4 - 1/2(6-x)=7x+3(6-2x)-1

x/4 - (6-x)/2=7x+18-6x-1

(x-2(6-x))/2=7x+18-6x-1

(x-12+2x)/2=7x-6x+18-1

(x+2x-12)/2=7x-6x+18-1

(3x-12)/2=x+17

Cross multiply

3x-12=2(x+17)

3x-12=2x+34

Collect like terms

3x-2x=12+34

x=46

Answer:

the answer is -80

Step-by-step explanation:

expand and simplify (2x-1)(x-3)

Answers

Answer:

Expand the polynomial using the FOIL method.

2 x 2 − 7 x + 3

Step-by-step explanation:

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate: (a) find the critical value t Subscript alpha divided by 2​, ​(b) find the critical value z Subscript alpha divided by 2​, or​ (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 95​%, sigma is not​ known, and the histogram of 60 player salaries​ (in thousands of​ dollars) of football players on a team is as shown.

Answers

Answer:

Neither the normal distribution nor the t distribution applies.

Step-by-step explanation:

Hello!

The histogram attached shows the salary (in dollars) of 63 football players.

As you can see most of the values of this distribution are around 0 and the distribution is extremely asymmetrical (right skewed).

To apply a t-test to study the population average the population has to have a normal distribution.

The same goes for the standard normal distribution, but in this case, considering that the sample is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal X[bar]≈N(μ;δ²/n), but since the population variance is unknown, this is also not applicable.

The correct choice is the last one, since the conditions to apply the t test and the standard normal are not met.

I hope this helps!

How do I write parametric equations

Answers

Answer:

All answers in this set can be written in the form y=f(x).

Rewrite the expression 5(2x+1) using the Distributive Property

Answers

Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

Which two months experienced the earliest sunrises?

(Month one is January)

Answers

6 and 7

(june and july)

Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.

8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7

Find the range and the outlier(s), if any, of the data set.

Answers

Answer:

The range is 5, there are no outliers.

Step-by-step explanation:

To find the range, just subtract the smallest number from the largest number. In this case, the largest number is 10 and smallest number is 5. 10 - 5 is 5 so there's your answer!

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