Answers
Given:
[tex]OA=3[/tex] units
[tex]OA'=9[/tex] units
To find:
The scale factor of the dilation.
Solution:
From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,
[tex]\text{Scale factor}=\dfrac{OA'}{OA}[/tex]
Putting the given values, we get
[tex]\text{Scale factor}=\dfrac{9}{3}[/tex]
[tex]\text{Scale factor}=3[/tex]
Therefore, the scale factor of the dilation is 3.
Related Questions
PLEASE HELP
What is the solution
3/4x+2x-3=-1/4x+21
Answers
Answer:
x=1/27
Step-by-step explanation:
In attachment...
Please help!!!!!!!!!!!!!!!
Answers
Answer:
The slope of line 1 is: 2
Does line one have a negative of positive slope: Positive
The slope of line 2 is: -1/2
Does line two have a negative of positive slope: Negative
Please answer ASAP!
-6=2x
Answers
Answer:
3
Step-by-step explanation:
Please help me on this.
Answers
Answer:My best guess is B or C
Step-by-step explanation:
im not the best at solving this but I feel certain it’s either of those
On a number line suppose point E has a coordinate of -1 and EG=12 what are the possible coordinates of point G? The possible coordinates for G are__.
Answers
Step-by-step explanation:
We have |E - G| = 12.
=> E - G = 12 or E - G = -12
=> (-1) - G = 12 or (-1) - G = -12
=> G = -13 or G = 11.
Coordonates of G could be -13 or 11.
Answer:
7,1
Step-by-step explanation:
Find the length of the missing side
Answers
Answer:
c = 17
Step-by-step explanation:
Since this is a right angle triangle we can use the Pythagoras theorem that states that [tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the Solve for hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....
[tex]c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17[/tex]
i need help with this question
Answers
Answer:
x=-2/9
y=-46/9
Step-by-step explanation:
Y=-46/9
Mark me as a brain less pls
25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed. Look at the photo.
Answers
Answer:
Step-by-step explanation:
For plane A,
Equation that represents the relationship between time 'x' and distance 'y' is,
y = 470x
By comparing this equation with the slope-intercept form of the equation,
y = mx + b
m = slope = 470
b = 0
Here, slope represents the speed of plane A.
Therefore, speed of plane A = 470 mi per hour
For plane B,
From the given table,
Slope of the graph = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{960-480}{2-1}[/tex]
= 480
Speed of plane B = 480 miles per hour
Since, speed of plane B is more than plane A,
Plane B is flying faster.
Find the missing side length of the similar figures below:
Answers
Answer:
1) d 2) b
Step-by-step explanation:
1) 36÷24 = 1.5 15×1.5= answer
2) 4÷3.2= 1.25 7.5÷1.25= answer
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answers
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Which expression is equivalent to (0.5x+7)−(1.2x−3)?
(0.5x+1.2x)+(7+3)
(0.5x+(−1.2x))+(7+(−3))
(0.5x+(−1.2x))+(7+3)
(0.5x+1.2x)+(7+(−3))
Answers
= (0.5x + 7) -1(1.2x - 3)
= 0.5x + 7 - 1.2x + 3
= (Now, we will combine and group the like terms.)
= 0.5x - 1.2x + 7 + 3
= -0.7x + 10
So, in conclusion, the answer to this question is: -0.7x + 10 which is equal to the third expression: (0.5x+(-1.2x))+(7+3).
Glad I could help!
Jillian is making accessories for the soccer team. She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches. She also uses 331.89 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Answer:
Head bands: 18.58 inches of fabric
Wrist bands : 8.51 inches of fabric
Step-by-step explanation:
Jillian is making accessories for the soccer team.
For head bands
She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.
The total number of people = 39 player + 2 coaches = 41 people
Hence:
41 persons = 761.78 inches of fabric
1 person = x
Cross Multiply
41 × x = 761.78 × 1
x = 761.78/48
x = 18.58 inches
For wristbands
She also uses 331.89 inches of fabric on wristbands for just the players.
Number of players = 39 players
Hence:
39 players = 331.89 inches
1 players = x inches
Cross Multiply
39 × x = 1 × 331.89 inches
x = 331.89 inches/39
x = 8.51 inches
Therefore:
18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 3 and a multiple of 5
Answers
Answer:
7 / 15= 0.47
Step-by-step explanation:
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings
Answers
Answer:
Step-by-step explanation:
110.75=10.5h-16
5 On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin
vines in your garden. You estimate the area covered by the fungus and find that the patches
cover about 1 cm2 Suppose that the leaf area covered by this kind of fungus quadruples (4x)
every day.
Answers
Answer:
Step-by-step explanation:
it xhkr pls
Gary spent 1/6 of his money on baseball cards, 3/10 of the remaining on candy and save the rest. If he spent $6 on baseball cards, how much money did he have in the beginning? Pls anwser
Answers
Answer: $36
Step-by-step explanation:
Let the total amount of money that he had in the beginning be represented by x.
Since Gary spent 1/6 of his money on baseball cards which was $6. This will then be solved further as:
1/6 × x = 6
1/6x = 6
x = 6 × 6
x = 36
The total amount of money that he had in the beginning was $36
Is this right?? Y=3/5x or is the -6 wrong
Answers
Answer:
according to my calculations for the gradient 3/5 is correct and - 6 is the y intercept so I suppose it's correct
1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:
Answers
Answer:
Sales tax : $27
Total price : $477
Step-by-step explanation:
Given that:
Sale price of tv = $450
Sales tax = 6%
Amount of sales tax = [tex]\frac{6}{100}*450[/tex]
Amount of sales tax = 0.06 * 450
Amount of sales tax = $27
Total price = Sale price + Sales tax
Total price = 450 + 27 = $477
Hence,
Sales tax : $27
Total price : $477
The shaded area of the shape below rounded to the nearest whole number is:
8 cm
8 cm
Answers
Answer:
64
Step-by-step explanation:
8x8=64
8cm*8cm=64cm.
Alan buys a basket of apples on sale for $7 before tax. The sales tax is 12.5%. What is the
total cost for the basket of apples?
Answers
HELP!!!!!ASAP!!!!!!!!!!!PLEASE!!!!!!!!!!NOW!!!!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
x=30cm
Step-by-step explanation:
The sides are proportionate so you can solve this by using ratios 75/30=x/12
Cross Multiply
30x=900
x=30
Help please due now!
Answers
Answer:
8
Step-by-step explanation:
3(2)-2(1-2) / 3-2
6-2(-1) / 1
6 + 2 / 1
8 / 1
= 8
Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?
Answers
Answer: 7.2 $ will be needed to get 6 Euros.
Step-by-step explanation:
Given : 3$ could be exchanged for 2.5 euros
That means :
To get 2.5 euros , dollars needed are = 3$
By using Unitary method:
To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $
To get 6 euros , dollars needed are = [tex]\frac{3}{2.5}\times 6=7.2[/tex] $
Thus 7.2 $ will be needed to get 6 Euros.
Question 6 of 10
sin(7pie/6)=
Answers
Answer:
-0.5
Step-by-step explanation:
I just added it into my calculator
Find the surface area of the cylinder. (no units-round to nearest tenth)
10 m
5 m
Answers
Answer: 471.238898359 Or when rounded, 471.2
Step-by-step explanation:
What is 34.208 in terms of pi.
INCORRECT/SILLY ANSWER = REPORT!
Answers
Answer:
10.8887π.
Step-by-step explanation:
34.208 / π
= 10.8887π.
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Answers
Answer:
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
Step-by-step explanation:
We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
First we will find slope of the line given in graph
The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have points (1,6) and (2,2)
Slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]
Part a)
Write an equation of the line that passes through the given point and is (a) parallel
When the lines are parallel, they have same slope. So, slope of required line: m = -2
Using slope m =-2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]
The equation of line will be:
[tex]y=mx+b\\y=-2x+11[/tex]
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Part b)
Write an equation of the line that passes through the given point and is (b) perpendicular
When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2
Using slope m =1/2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]
The equation of line will be:
[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
(-2,-5) on a graph. I really need to know.
Answers
Answer:
Step-by-step explanation:
The blue dot is where (-2,-5) is on a graph. Hope this helps!
Fiona and Diana are sisters. They each baked cookies. Fiona baked 15 more cookies than Diana. They baked a total of 75 cookies. How many cookies did each girl bake?
Answers
Answer: Fiona baked 45 cookies and Diana baked 30 cookies.
45 + 30 = 75 total cookies baked.
plzz help guys I'm so confused!!
A city has a population of 400,000 people. Suppose that each year the population grows by 6%. What will the population be after 11 years? Use the calculator provided and round your answer to the nearest whole number.
Answers
Answer:
773,917
Step-by-step explanation:
I will assume it will be a compound interest:
To solve any compound interest problems, use the formula (P x e)^r x t
P = Principal amount
e is Euler's number can be found on your calculator
r = rate
t = time
so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)
Answer:
pop after 11 years will be 772,000
Step-by-step explanation:
P = initial population · [tex]e^{(.06)(11)}[/tex] e = Eulers number which is approx 2.7
P = 400,000 · [tex]2.7^{0.66}[/tex]
P = 400,000 · 1.93
P = 772,000