(Image shown below this of the shape)
3. Consider this dilation Complete sentences
(a) is the image of the dilation a reduction or an enlargement of the original figure? Explain
(b) What is the scale factor? Explain
Answer
Answers
Answer:
a) A reduction
b) The scale factor is 1/2
Step-by-step explanation:
The vertices of the original figure, ABCD are;
A(-2, 4), B(4, 4), C(2, -2), and D(-4, -2)
The vertices of the image, A'B'C'D' are;
A'(-1, 2), B'(2, 2), C'(1, -1), and D'(-2, -1)
a) The length of the side AB = 4 - (-2) = 6 (Distance between points having the same 'x' or 'y' coordinates
The length of the side A'B' = 2 - (-1) = 3
The length of AB = 6 is larger than the length of A'B' = 3, therefore the image A'B'C'D' is a reduction of (is smaller) the figure ABCD
b) The scale factor = The ratio of the lengths corresponding sides of the image to the original figure;
∴ The scale factor =A'B'/AB = A'D'/AD = B'C'/BC = D'C'/DC
AD = √((-4 - (-2))² + (-2 - 4)²) = 2·√10
A'D' = √((-2 - (-1))² + (-1 - 2)²) = √10
A'D'/AD= √10/(2·√10) = 1/2
Therefore, given that the coordinates of the preimage are 2 × the coordinates of the image, we have;
The scale factor = A'B'/AB = B'C'/BC = D'C'/DC = A'D'/AD =1/2
The scale factor is 1/2, therefore, we multiply the dimensions of the original figure by 1/2 to get the dimensions of the image.
The scale factor = 1/2.
Related Questions
what is 75 in standard notation?
Answers
Answer:
I think you meant scientific notation because 75 in standard notation is 75 and also the answer is 7.5 x 10 and a 1 exponent.
Step-by-step explanation:
hope this helps
determine the value of k if g(x) =4x+k is a tangent to f(x)= -x² +8x +20
Answers
Answer:
22
Step-by-step explanation:
222
The value of k in the given functions is; 24
What is the value of the function to the tangent?
We are given the functions;
g(x) = 4x + k as a tangent to f(x) = -x² +8x +20
For f(x) = -x² +8x +20
=> f'(x) = -2x + 8
Thus, slope of tangent at ( x , y) = -2x + 8
For g(x) = 4x + k
g'(x) = 4.
Thus, slope is 4
Therefore;
-2x + 8 = 4
-2x = -4
x = 2
Putting 2 for x in f(x) gives;
f(2) = -2² + 8(2) + 20
f(2) = 32
Thus, it is at (2 , 32)
Thus, (2 , 32) lies on g(x) = 4x + k
4(2) + k = 32
k = 32 - 8
k = 24
Read more about slope of tangent at; https://brainly.com/question/6353432
Triangle CDE is similar to triangle FGH. Find the measure of side HF. Round your
answer to the nearest tenth if necessary.
E
H
32
C
D
17.7
F
G
58
Answers
Answer:
104.9 units
Step-by-step explanation:
using the polygon similarity postulate (PSP), 32/x=17.7/58
32/x=17.7/58
58*32=17.7x
1856=17.7x
x=104.858757062
round answer to the nearest tenth
x=104.9 units
At a carnival in a small town, the entry fee was $8 per person, and the cost for each ride ticket was $2. The inequality below was used to determine if the town met its goal of earning more than $1,650 each day the carnival was open. 8p + 2r > 1,650 The following variables were used: p = the number of people who attended the carnival r = the number of ride tickets sold• On Friday, 150 people attended the carnival. A total of 275 ride tickets were sold. • On Saturday, 110 people attended the carnival. A total of 340 ride tickets were sold. • On Sunday, 130 people attended the carnival. A total of 305 ride tickets were sold.For each day the carnival was open, state whether or not the town met its goal. Show all the steps you took to find your answers using the provided inequality. Respond in the space provided.
Answers
Answer:
$1000
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ❤☺️☻♨️♨️☻☺️❤
A bicycle store costs $2800 per month to operate. The store pays an average of $50 per bike. The average selling price of each bicycle is $90. How many bicycles
must the store sell each month to break even?
The store must sell bicycles each month to break even.
(Type a whole number.)
Answers
Answer:
70 Bikes
Step-by-step explanation:
[using b as a variable for bikes]
2800=-50b+90b
[2800 is total cost of store with-50 being cost per bike and 90 being selling point of bike]
2800=40b [simplified by combining -50 with 90]
70=b [divided 2800 by 40 to get the break even for the store]
Classify the scenarios based on whether they are observational studies, experimentsor surveys. Scenarlo A: Twenty employees of a company are randomly selected and asked if they would like the company to revise the existing dress code Scenarlo B: Analysts at an energy research compare the frequency of power outages caused by snowfall in different states over the past decade. Scenarlo To determine and compare the accuracles of pedometer X and pedometer Y researchers randomly ask Consumers to use one of the two pedometers and then analyze the results. D: At a coffee shop, ten customers are randomly selected each day and asked how many times a week they visit the shop.
Answers
Answer:
Scenario A: Survey
Scenario B: Observational Studies
Scenario C: Experiment
Scenario D: Survey
If it not the answer you can correct me
There are 10 students in a class: 7 boys and 3 girls.
If the teacher nicks a group of 4 at random, what is the probability that everyone in the group is a boy?
Answers
Answer:
Total number of students = 10
Probability that all 4 in the group are boys =
[tex] \frac{4}{10} \\ = 0.4[/tex]
Help pls
Mitchell went on a shopping trip to Kensington. He purchased a pair of headphones originally
priced at $50 but discounted 60%. If sales tax in Kensington is 15%, what was the total cost?
Answers
= 30
$50-$30=$20
20x(15/100)
= $3
$20+$3 = $23
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The total cost of the pair of headphones is $23.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/200 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
105 = 10/100 = 1/10
We have,
Original price of the headphones = $50
60% of $50
= 60/100 x 50
= $30
The price of the headphones after the discount.
= $50 - $20
= $20
The amount of sales tax.
= 15% of $20
= 15/100 x 20
= $3
The total cost.
= $20 + $3
= $23
Thus,
The total cost of the pair of headphones is $23.
Learn more about percentages here:
https://brainly.com/question/11403063
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A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on the animals. How many cows and how many chickens does the farmer have?
Answers
Answer:
13 chickens and 21 cows
Step-by-step explanation:
which choice is equivalent to the expression below? (-2)^-3
A) 1/6
B) 8
C) -1/8
D) 6
Answers
Step by step exploration
(-2)^-3=1/(-2)^3=1/(-8)=-1/8
Answer:
C
Step-by-step explanation:
I used a calculator I honestly couldn't figure out the math behind that
Find tan A for the triangle below.
Answers
Answer:
Hola Amigo mate!
The answer is
Tan A= 0.667Here's the step by step explanation:-So, here tan A means opposite side divided by the adjacent side.
TAN A= [tex]\frac{Opposite}{adjacent}[/tex]
Opposite of side A is 10cm and its adjacent side is 15cm!
So, TAN A IS:- [tex]\frac{10}{15}[/tex]
Tan A= 0.667
Zoom In to see I need help
Answers
Answer:
The answer it probably is C.
Step-by-step explanation:
Just add 16+16+16= 48. Hope this helps
Answer:
The answer is C... 16 units.
Step-by-step explanation:
I had this question on my test and got it correct.
Mrs. Hales then tells Kyle to write an equation showing that the volume, V, of each of his prisms is equal to l × w × h
Answers
Kindly check the complete version of the question on the picture attached below :
Answer:
B.) 4 * 3 * 3
Step-by-step explanation:
Unit volume of cube = 48 unit³
Using the volume relation :
Volume = Length * width * height
V = l * w * h
To obtain the odd representation, we calculate the volume of the dimensions given in the option and select the option which does not yield a volume of 48 unit³
A.) 8 * 2 * 3 = 48 unit³
B.) 4 * 3 * 3 = 36 unit³
C.) 6 * 2 * 4 = 48 unit³
D.) 3 * 2 * 8 = 48 unit³
Hence, prism with dimension 4 * 3 * 3 cannot be one of Kyle's prism
Number 9 please help 10 points no links pleAse
Answers
Answer:
Step-by-step explanation:
The answer is option D
Answer:
D
Step-by-step explanation:
There is 5 leaves measured as 12 cm long and 3 leaves measured as 15 cm long
5 - 3 = 2
What is -4.4+(-4.32)
Answers
Answer:
-8.72
Step-by-step explanation:
I am confused on this, I would LOVEE some help please!
Answers
Answer:
2nd and 5th one are correct. Rest of them r wrong
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
11
10
8
7
6
5
4
-12-11-10-9-8-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
4
-9
-10
-11
-12
Answers
Answer:
x intercept [a]=3
y intercept [b]=-5
we have
equation of a line is:
x/a+y/b=1
x/3+y/-5=1
(5x-3y)=15
5x-3y-15=0 is a required equation
I need help finding the answer!
Answers
Answer: x=4
Step-by-step explanation:
Since this is a rectangle we already know that all the angles are 90, so we can do this:
46+10x+4=90
50+10x=90
10x=40
x=4
What do the graphs of these two functions have
in common?
(picture included)
Answers
Function A: y=1/3x+1
Function B:y=1x+3
•A is correct because if you drew the linear line for function A, it would intercept with B on point (1,4) which is also a point for function B.
•B is incorrect because y-intercept in A=1 and B=3, that’s not in common
•C is incorrect because the slope in A=1/3 and B=1, that’s not in common
•D is incorrect because because x-intercept for A=-3 and for B= less than 1
I BEG SOMEONE TO JUST PLS HELP :( and if u wanna answer more questions related ill give u like 100 pts at the end i need this
Answers
Answer:
Step-by-step explanation:
this question is not worth 5 pts and you are a scam so get scamed
Anchor: If you start with 50 g of a material, how much is half of that? How much is half of half? How much is half of that?
Answers
Answer:
Step-by-step explanation:
1/2 of 50 grams is the same thing as 50 divided by 2 which is 25
Now you take 1/2 of 25 grams. That's 25 divided by 2. Use your calculator if you're not sure 25 divided by 2 = 12 and 1/2 or 12.5
I think we're down to 1/2 of 12.5
1/2 of 12.5 is 6 and then 0.5/2 which is 0.25
So 1/2 of 12.5 is 6.25
If I left one out, leave a comment.
Just in case 1/2 of 6.25 = 6/2 = 3
1/2 of 0.25 = 0.25/2 = 0.125
so the answer here is 3.125
If I've misunderstood the question, leave a note for that too.
what is the surface area of the triangular prism shown
Answers
Timia needs so cash in a hurry she owns her car outright and is considering a title loan. The lender told timia she could borrow 1750 for 1 month
Answers
The question is incomplete ; the fee which Timia would pay isn't given. And this is needed to compute the APR on the loan.
I would assume that the fee which Timia would pay as interest on the 1 - month loan is x
Answer:
r = x / 145.83333
Step-by-step explanation:
If interest paid, I = x
Principal, P = $1750
And period (time) of loan = 1 month = (1/12) = 0.0833333
Rate = r
Using the simple interest formula :
Interest = Principal * rate * time
x = 1750 * r * 0.833333
Make r the subject :
x = 145.83333r
Divide both sides by 145.83333
Hence, the rate value , r becomes :
r = x / 145.83333
Therefore, the student can just input the appropriate, interest value in place of x and obtain the correct and exact answer (I do not want to use an hypothetical value for x) .
helppp ME PLEASEEEEE :))))!!!
Answers
Answer:
0.0567 x 10^4 < 2.3069 x 10^3 < 0.04069 x 10^5
Step-by-step explanation:
2.3069 x 10^5
4.069 x 10^5
0.567 x 10^5
Need the answer real quick
Answers
Answer:
1. x+y=20,000
2. 105x+75y=$1,740,000
Step-by-step explanation:
let x be the stage level seats and y be the higher level seats.
Tommy's salary increases by 4% each year. This year, Tommy's salaray was $42,250. How much will her salary be in 7 years?
**Simplify ALL of the way and round to the NEAREST whole number**
Answers
Answer:
$295,750
Step-by-step explanation:
Given
Tommy's salary increases by 4% each year.
Increase to 4%
1 year = $42,250
7 years = $?
To find
So if 1 year is $42,250, then to find 7 years, you multiply the given by what you are trying to find.
Set up.
1/42250 x 7/x =
295,750
Therefore, Tommy's salary be in $295,750 7 years.
GUYS I'M FAILING AND IM GONNA GET IN SO MUCH TROUBLE how sobi convince a teacher to let me do my old assignments that are locked
Answers
Answer:
just be like im really trying to work on getting my grades up i fell off a little bit bc of some stuff at home and im busy sometimes but im serious about my work and it would mean the world to me if you could let me redo some assignents that i failed or that are locked i want my parents to be proud of me for once, thanks (they name)
Step-by-step explanation:
Every six customer at flower shop receives a free rose in every ninth customer see is a free lily what customer will be the first to receive a free rose and a lily
Answers
Answer:
18th customer
Step-by-step explanation:
The computation is shown below
Here we have to write the multiples of 6 and multiples of 9 that are presented below:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72
So based on the above multiples of 6 and 9, 18th customer would first to receive a free rose and a lily
Answer: 18th customer. Hope this helps!
Use the Pythagorean theorem to find the unknown side of the right triangle.
Hypotenuse length_____
Answers
Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39
Step-by-step explanation:
A circular spinner is dividing into 9 equal parts numbered 1-9. What is the probability of spinning a
number less than 8 or a divisor of 15?
Answers
Answer:
7/9
Step-by-step explanation:
Answer:
7/9
Step-by-step explanation:
It I correct !!
