Determine whether the dilation from A (blue figure) to B (green figure) is an enlargement or reduction, then find the scale factor of the dilation.
a. reduction; scale factor of 2/5
b. enlargement; scale factor of 5/2
c. reduction; scale factor of 2/3
d. enlargement; scale factor of 3/2
Answers
Answer:
Option B
Step-by-step explanation:
In the figure attached we have to find the scale factor of dilation of figure A to figure B.
Since figure A is smaller than figure B, it concludes figure A has been enlarged to form figure B.
Now we have to find the scale factor of enlargement.
Scale factor = [tex]\frac{\text{one side of the larger figure}}{\text{one side of the smaller figure}}[/tex]
= [tex]\frac{5}{2}[/tex]
Therefore option B is the correct answer.
Related Questions
Find the missing coefficient in the equation of the line that passes through the given point. ...?
Answers
Find the missing coefficient in the equation of the line that passes thru given point. Ax+3y=5, (2-1)?
Is this the question?
A= 4
4x+3y=5
you plug in your points to solve it.
A(2) + 3(-1) = 5
2A + -3 = 5
2A= 8
A = 4
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
On a map the length of a river is 4.75 in. The actual length is 247mi. What's the scale of the map?
Answers
find out how many inches in 1 mile
multiply this by 247
divide the answer by 4.75
the scale is 1:(the answer)
I hope my guide has come to your help. Have a nice day ahead and may God bless you always!
The scale factor of the blueprint of a gymnasium to the actual gymnasium is 1in/15ft. The area of the flow on the blueprint is 114in2.
What is the area of the actual gymnasium?
Answers
Cross multiply
X=2,160
Gymnasium=2,160 ft2
B) 25, 650 ft^2
If the ratio is 1:15, then the measurements of each side of the actual gym are 15 times greater than the scale's. So the areas would have a ratio of 1:225. 114 times 225 is equal to 25, 650
Write the point-slope form of the equation of the line that passes through the point (1, 3) and has a slope of 2. Include your work in your final answer
Answers
y=x+2 is your answers
The distance between two cities is one hundred miles, and a woman drives from one city to the other at a rate of fifty mph. At what rate must she return if the total travel time is three hours and forty minutes?
Answers
v1= 50mph
d1=100 m
t1=?
t=d/v=100/50=2h
that's meat that she will take 2hours during the first travel
and total travel time = 3h
she wants to take only 1 h in her second travel
v2=?
d2=100 m
t2= 1h
v2= d2 *t2 =100mph
#
well in her first travel (when she goes to the anther city)
v1= 50mph
d1=100 m
t1=?
t=d/v=100/50=2h
that's meat that she will take 2hours during the first travel
and total travel time = 3h
she wants to take only 1 h in her second travel
v2=?
d2=100 m
t2= 1h
v2= d2 *t2 =100mph
total travel time is 3 hours and 40 minutes so i belive the correct answer is 60mph
____ two points are collinear.
A. Any
B. Sometimes
C. No
Answers
for 2 answer is Any.
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle? The triangle is acute because 22 + 52 > 42. The triangle is acute because 2 + 4 > 5. The triangle is not acute because 22 + 42 < 52. The triangle is not acute because 22 < 42 + 52.
Answers
Let
[tex]a=2\ in\\b=4\ in\\c=5\ in[/tex]
we know that
If [tex]c^{2} =a^{2}+b^{2}[/tex] -----> is a right triangle
If [tex]c^{2} > a^{2}+b^{2}[/tex] -----> is an obtuse triangle
If [tex]c^{2} < a^{2}+b^{2}[/tex] -----> is an acute triangle
so
substitute the values
[tex]5^{2} > 2^{2}+4^{2}[/tex] ------> is an obtuse triangle
therefore
the answer is
The triangle is not acute because [tex] 2^{2}+4^{2}< 5^{2}[/tex]
Answer: The correct option is
(C) The triangle is not acute because 2² + 4² < 5².
Step-by-step explanation: We are to select the statement that best explains the type of the triangle having lengths of three sides as 2 inch, 5 inch and 4 inch.
We know that a triangle with side lengths a, b and c (c > a, b)is
(i) an acute-angled if a² + b² > c², and
(ii) an obtuse-angled if a² + b² < c².
For the given triangle,
a = 2 inch, b = 4 inch and c = 5 inch.
So, we have
[tex]a^2+b^2=2^2+4^2=4+16=20,\\\\c^2=5^2=25.[/tex]
Since,
[tex]20<25\\\\\Rightarrow a^2+b^2<c^2,[/tex]
so the given triangle is not acute, but obtuse.
Thus, the triangle is not acute because 2² + 4² < 5².
Option (C) is correct.
Jake earns $7.50 per hour working at a local car wash. The function, ƒ(x) = 7.50x, relates the amount Jake earns to the number of hours he works. Write the inverse of this relation
Answers
where x is the number of hours that Jake works.
f ( x ) = y
y = 7.50 x
x = y / 7.50
Answer:
The inverse is:
y = x / 7.50
For this case we have the following function:
[tex] f(x) = 7.50x
[/tex]
An equivalent way to write this function is:
[tex] y = 7.50x
[/tex]
From here, we clear the value of x.
We have then:
[tex] x = \frac{y}{7.50}
[/tex]
Returning the variables we have that the inverse of the function is:
[tex] f (x) ^ - 1 =\frac{x}{7.50}
[/tex]
Answer:
the inverse of this relation is:
[tex] f (x) ^ - 1 =\frac{x}{7.50}
[/tex]
Solve the equation for the letter L: A=LW
Answers
Answer:
[tex]L=A/W[/tex]
Step-by-step explanation:
we have
[tex]A=LW[/tex]
Solve for L means -------> isolate the variable L
so
Divide by [tex]W[/tex] both sides
[tex]A/W=LW/W[/tex]
Simplify
[tex]L=A/W[/tex]
What is the period of y = 5 cos x?
What is the period of y= cos 5x
Answers
first case, B = 1
Second case, B = 2
so period of 5*cos x is 2pi/1 = 2pi
period of cos 5x is 2pi/5
hope this help
How many feet are in 30 yards?
__ ft
Answers
30 yards = 1 yard multiplied by 30
Thus,
30 yards = 3 ft multiplied by 30
= 90 ft
The sum of nine times a number and fifteen is less than or equal to the sum of twenty-four and ten times the number
Answers
Which of these terms does not describe polygon A'B'C'D ?
A) rotation
B) image
C) preimage
D) transformation
Answers
Answer:
Hence, Option: C is correct.
The term that does not describe polygon A'B'C'D' is:
Pre-image.
Step-by-step explanation:
Clearly we could observe that the polygon A'B'C'D' is the image that is obtained by the applying some transformation to the polygon ABCD.
The transformation that is applied to ABCD to obtain A'B'C'D' is:
Rotating the figure anticlockwise 90° and then translating it 7 units to the left and 1 unit downward.
Hence, Polygon A'B'C'D' is not a pre-image.
Since it is an image which is formed or obtained by applying required transformation to the pre-image ABCD.
The correct option is C) preimage. Polygon [tex]\(A'B'C'D'\)[/tex] is the image of the transformation, not the preimage.
To determine which term does not describe polygon [tex]\(A'B'C'D'\)[/tex], we need to understand the definitions of each term in the context of transformations in geometry:
Rotation : This is a type of transformation that turns a figure around a fixed point at a certain angle. Polygon [tex]\(A'B'C'D'\)[/tex] could be a result of rotating polygon [tex]\(ABCD\)[/tex]
Image : The image is the result of applying a transformation to a figure. [tex]A'B'C'D'\)[/tex] is the image of [tex]\(ABCD\)[/tex] after some transformation.
Preimage : The preimage is the original figure before a transformation is applied. In this context, [tex]\(ABCD\)[/tex] is the preimage, not [tex]\(A'B'C'D'\)[/tex]
Transformation : This is a general term that refers to any operation that moves or changes a figure in some way to produce a new figure. The process that produced [tex]\(A'B'C'D'\)[/tex] from [tex]\(ABCD\)[/tex] is a transformation.
From these definitions, the term that does not describe polygon [tex]\(A'B'C'D'\)[/tex] is preimage.
Polar coordinates of a point are given. Find the rectangular coordinates of the point. (2.1 ; 2pi/9)
A. (-1.6, -1.3)
B. (1.6, 1.3)
C. (1.3, 1.6)
D. (-1.3, -1.6)
Answers
Which equation shows y=−1/2x+4 in standard form?
A. 2x+y=8
B. x+2y=8
C. x+2y=-8
D. 2x-y=8
Answers
Answer: B. x+2y=8
Explanation:
The original equation is:
[tex]y=-\frac{1}{2}x+4[/tex]
The problem asks us to convert the equation in the standard form, so in the form
[tex]ax+by=c[/tex]
with a,b and c being integers.
In order to do that, first of all let's bring on the same side both x and y:
[tex]y+\frac{1}{2}x=4[/tex]
Now we want the coefficient in front of x to be an integer, so let's multiply each term by 2, and we get
[tex]2y+x=8[/tex]
and this corresponds to option B.
The equation that represents y = -1/2x + 4 in standard form is 2x + y = 8.
The equation that shows y = -1/2x + 4 in standard form is 2x + y = 8.
Learn more about Standard Form of Equations here:https://brainly.com/question/35418419
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What is the length of a picture frame whose width is 3 inches and whose proportions are the same as a 9-inch wide by 15-inch long picture frame?
Answers
Proportion is 3:5
So if width is 3 then the length shud be 5
5 inches
Patrick hit his neighbor's car while backing his vehicle out and caused $700 worth of damage. The insurance company paid for $300 of the damage while Patrick had to pay the remaining $400. The amount Patrick paid was his _____.
Answers
whats the inverse function of f(x)=3x-1
Answers
Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains
x(t) pounds of salt in 200 gallons of brine, and tank B contains
y(t) pounds of salt in 300 gallons of brine. The mixture in each tank is kept uniform by constant stirring. When t = 0, brine is pumped from tank A to tank B at 20 gallons/minute and from tank B to tank A at 20 gallons/minute. Find the amount of salt in each tank at time t if x(0) = 10 and y(0) = 40.
Answers
The pump is just mixing the water among the 2 tanks continuously. So eventually the concentration in each tank will be the same as concentration of both tanks put together.
Total gallons = 500, Total Salt = 50
Concentration = 50/500 = 1/10
If tank A has this concentration , then salt = 20
For tank B the salt amount is then 30.
This gives us 2 points, an initial amount and a finishing amount as t -> infinity.
To find functions for x(t) and y(t) , we need to look at the rate of change.
[tex]Rate = R_{in} - R_{out} [/tex]
For tank A, 20/300 or 1/15 of tank B salt is coming in. While 20/200 or 1/10 of its own salt is leaving.
For tank B its just the other way around.
This will give a system of 2 differential equations:
[tex]\frac{dx}{dt} = \frac{y}{15} - \frac{x}{10}[/tex]
[tex]\frac{dy}{dt} = \frac{x}{10} - \frac{y}{15}[/tex]
From this we can say:
[tex]\frac{dy}{dt} = -\frac{dx}{dt}[/tex]
[tex]y = -x+C[/tex]
Plug this in for y in the dx/dt equation:
[tex]\frac{dx}{dt} = \frac{-x+C}{15} -\frac{x}{10} = -\frac{x+C}{6} [/tex]
Solving this differential equation gives:
[tex] \int \frac{dx}{x+C} = \int -\frac{dt}{6} [/tex]
[tex]\ln (x+C) = -\frac{t}{6} +k[/tex]
[tex]x = k e^{-t/6} +C[/tex]
The dy/dt equation is solved exactly the same way, so you have:
[tex]y = k e^{-t/6} +C[/tex]
All thats left is to apply initial and final conditions to get constants.
The final solution is:
[tex]x(t) = -10e^{-t/6}+20[/tex]
[tex]y(t) = 10e^{-t/6}+30[/tex]
What are the x-intercept and y-intercept of the graph of
y=1/3 x−6
x:
Y:
Answers
Y: (0,-6)
The y intercept is in the equation
What is 7.5 as a fraction ?
Answers
We can put this in a mixed number form: 7 1/2
q plus 12 minus 2=????
Answers
What is the gratest common factor of 84 and 108?
Answers
108: 1,2,3,4,6,9,12,18,27,36,54,108
Therefore, your G.C.F. is: 12
You have been hired as an efficiency expert for Math Nerds Inc. The company wants to cut costs and increase profits by increasing the number of math problems their employees can solve in a day. Your job is to help the Math Nerds employees solve math problems more quickly. Show the Math Nerds employees how to rework each problem below using a polynomial identity. (x2+y2)2=(x2-y2)2+(2xy)2
Show the Math Nerds employees how much time you save on each problem by using the polynomial identity to simplify.
1) ( x+2 ) 2 (x+2) 2 = (x+y) 2 =x 2 +2xy+ y 2
2) ( x−3 ) 3 (x−3) 3 = (x−y) 3 =x 3 −3 x 2 y+3x y 2 − y 3
Answers
(x+2)2
without writing (x+2)(x+2)=x2+2x+2x+4=x2+4x+4 instead say y=2 and use the identity to get
x2+2×2x+2^2=x2+4x+4
What is 1.2 divided by 9?
Answers
At the bank, brent exchanges $50 in bills for 50 one-dollar coins. the total mass of the coins is 405 grams. estimate the mass of 1 one- dollar coins
Answers
5 1/3 * (-3 9/18) Simplify and Show your work
Answers
5*-9/18
-45/18
-2.5
Use trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0 < θ <π/2.
√(100) - 4x^(2), x = 5cos(θ)
Answers
case 1
perhaps it is √(100)² - 4x^(2), x = 5cos(θ)
because if so, √(100)²=100
√(100)² - 4x^(2) = 100- 100cos²(θ) = 100( 1 - cos²(θ))= 100sin²(θ), and
0 < θ <π/2.
case2
if it is true that √(100) - 4x^(2), the possible equality is √(100) - 100cos²(θ)
PLEASE HELP!
The initial amount of people that are sick with the flu is 36 and growing at a rate of 8% every day.
How many people will be sick with the flu in 11 days?
Round to the nearest whole number.
Answers
Answer: 84
Step-by-step explanation:
36 Counts as day 0
Day 1 : 36 x 1.08 = 38.88
Day 2 : 38.88 x 1.08 = 41.9904
Day 3 : 41.9904 x 1.08 = 45.349632
Day 4 : 45.349632 x 1.08 = 48.97760256
Day 5 : 48.97760256 x 1.08 = 52.8958107648
Day 6 : 52.8958107648 x 1.08 = 57.127475625984
Day 7 : 57.127475625984 x 1.08 = 61.69767367606272
Day 8 : 61.69767367606272 x 1.08 = 66.6334875701477376
Day 9 : 66.6334875701477376 x 1.08 = 71.964166575759556608
Day 10 : 71.964166575759556608 x 1.08 = 77.72129990182032113664
Day 11: 77.72129990182032113664 x 1.08 = 83.9390038939659468275712
83.9390038939659468275712 rounded to the nearest whole number is 84.
Based on the number of people who were initially sick and the rate of increase, the number who will be sick in 11 days is 84 people.
To find the number who will be sick in 11 days use the future value formula:
= Initial people x ( 1 +rate) ^ number of days
Solving will give:
= 36 x ( 1 + 8%) ¹¹
= 83.9
= 84 people
In conclusion, 84 people will be sick.
Find out more on future value at https://brainly.com/question/24703884.
Each month, the census bureau mails survey forms to 250,000 U.S. households asking questions about the people living in the household and about things such as motor vehicles and housing costs. Telephone calls are made to households that don't return the form. In one month, responses were obtained from 240,000 of the households contacted. The population of interest is A.the 240,000 households contacted. B.the 250,000 households contacted. C.only U.S. households with phones. D.all U.S. households.
Answers
Because the 240,000 responses are from them. Furthermore, with the given information you do not know how many of those responses came due to the frist contact (by mail) or due to the phone call made to the houses that didn't return the form when received the mail.