The rectangle shown is dilated by a scale factor of 1/5
What is the length of side A'B' and side B'D'?
Answers
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
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!
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
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:
Angle of rotation :(((
Answers
Answer:
144
Step-by-step explanation:
360/5 x 2 = 144
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:
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:
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
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
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
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
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 totalThe 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.
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:
:)
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
How do I write parametric equations
Answers
Answer:
All answers in this set can be written in the form y=f(x).
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.
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 :)
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.
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
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!
find four rational number between -1 and -1/2
Answers
-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
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:
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.
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]
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:
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
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
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.
Which two months experienced the earliest sunrises?
(Month one is January)
Answers
6 and 7
(june and july)
6231 rounded to the nearest thousand is. Enter your answer without
commas.
Answers
Below midpoint (6000 - 6500) : 6000 to the nearest thousand
Past midpoint (6501 - 7000) : 7000 to the nearest thousand
Answer : 6000
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!
