The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?
A) 1/5
B) 1/3
C) 3
D) 5
Answers
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Explanation:
We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]
Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.
Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.
Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).
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So far we found:
The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 unitsThese two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.
scale factor = (image length)/(preimage length)
scale factor = 3/15
scale factor = 1/5
Related Questions
A skateboarder goes off of a ramp at a speed of 52 ft./s. The ramp is 5 ft. above the ground with a 30°
angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due
to gravity is 32 ft/s^2.
Answers
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
We have,
Let's denote the time as t.
Horizontal motion:
The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:
x = vt
where v is the horizontal velocity, which in this case is 52 ft/s.
Vertical motion:
The vertical position (y) can be determined using the equations of motion under constant acceleration.
The skateboarder experiences acceleration due to gravity (g) acting downward.
The initial vertical position is 5 ft, and the initial vertical velocity is
0 ft/s.
Using the equation of motion:
[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]
Substituting the given values:
y = 5 + 0t + 0.5(32)t²
y = 5 + 16t²
Thus,
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ4
The table shows a student's work when solving the equation 8x-(4x-3)=5.
Which statemen ais true?
Answers
Answer:
x = 1/2
Step-by-step explanation:
8x-(4x-3)=5
Distribute the minus sign
8x -4x +3 = 5
Combine like terms
4x+3 =5
Subtract 3 from each side
4x+3-3 = 5-3
4x = 2
4x/4 = 2/4
x = 1/2
PLZ HELP WILL MARK BRAINLIEST!!!
Answers
Answer:
(0-8)
Step-by-step explanation:
the z represents a unknown number.=, and because it equals y it starts at 0. so (0-8)
I need help. No links or I will report.
Answers
Answer:
Step-by-step explanation: 122 degrees
Graph y=3x^2 show all steps please
Answers
Answer:
In image
Step-by-step explanation:
if y=3x^2
if x is 1 y is 3 because if you substitute x for 1, 1^2 = 1, And 3•1 = 3
if x is 2 y is 12 because if you substitute x for 2, 2^2 = 4 and 3•4 =12
Keep going using this formula, You can go into the negatives by substituting x for a negative number aka -1 or -2
Answer for brainliest
Answers
Answer:
x = 2
Step-by-step explanation:
The measure of minor arc FD is 51x + 1
The measure of major arc FD is 360 - (51x + 1)
m<E = ½[m(major arc FD) - m(minor arc FD)]
36x + 5 = ½[360 - (51x + 1) - (51x + 1)]
72x + 10 = 360 - 51x - 1 - 51x - 1
174x = 348
x = 2
Help me plz and show work <3
Answers
Answer:
y = (5-2x)/7 = 5/7 - 2x/7. option C
Step-by-step explanation:
here's your solution
=> 7y + 2x = 5
=> 7y = 5 - 2x
=> y = (5-2x)/7
[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]
Help pls! Giving brainliest !!
Answers
Answer:
Can you take a better picture plz because I can’t see the pic.
Step-by-step explanation:
what is the interquartile range of the sequence 5,5,8,8,13,14,16,16,19,22,23,27,31 ?
Answers
Answer:
The Interquartile range is 10.
Step-by-step explanation:
First, we will need to find the mean, the mean of this sequence is 16, you will now need to find quartile 1 and quartile 3. Quartile 1 is 13, and quartile 3 is 23. Lastly, subtract Quartile 3 and Quartile 1 will be the answer.
So, 23-13=10
The Answer will be 10, the interquartile range is 10.
Hope this helps!
Someone please help will mark as brainliest
Answers
Answer:
Perpendicular(p)=21
base(b)=20
hypotenuse(h)=29
Step-by-step explanation:
Now by using the formula:
cos A=b/h
i.e 20 by 29
Of Jamia’s 10 scrunchies, ⅖ are pink. How many are pink?
Answers
Answer:
4 are pink
Step-by-step explanation:
We have an uneven denominator So basically we Times 2/5 by 2/2
and we get 4/10
So out of the 10, 4 are Pink.
I hope this helps!
Choose the statement that best describes the error in finding the volume of the solid.
Answers
Answer:
the formula used gives surface area instead of volume
3) Which of the following is the equation for
the axis of symmetry?
A) x=-b/2a
B) x=-a/2b
C)x=b/2a
D)x=-c/2a
Answers
Answer:
A
Step-by-step explanation:
the equation is always x=-b/2a
(06.01 LC)
What conditions must be met to use z procedures in a
significance test about a population proportion? (4 points)
1. The sample size is greater than 30.
II. The population is greater than 10 times the sample size.
III. The probability of success multiplied by the sample size is
greater than or equal to 10, and the probability of failure
multiplied by the sample size is greater than or equal to 10.
Answers
Answer:
1. The sample size is greater than 30.
Step-by-step explanation:
z test is a statistical test, used for hypothesis testing, for verifying statistical significance of a population parameter (from sample statistic)
It is used when in case when the sample size is large, ie greater than 30. It is used when the data follows normal distribution. In case of small sample size, ie less than 30, t test is used.
Mr. Nunez opened an account with a deposit of $3,000.
- The account earned annual simple interest.
- He did not make any additional deposits or withdrawals.
- At the end of 5 years, the balance of the account was $3,765.
What is the annual Interest rate on this account?
A. 6.6
B. 5.1
C. 4.5
D. 5.7
Answers
Give an example of two angles that are supplementary and adjacent
thx to whoever gives the answer
Answers
Answer:
120 and 60 (both add 180)
Step-by-step explanation:
If two supplementary angles are adjacent to each other then they are called linear pair.
if tanθcscθ = 3, find the value of cosθ
Answers
Answer:
1.5
Step-by-step explanation:
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \tan( \theta) \csc(\theta) = 3[/tex][tex] \dfrac{ \sin(\theta) }{ \cos(\theta) } \times \dfrac{1}{ \sin(\theta) } = 3[/tex][tex] \dfrac{1}{ \cos( \theta) } = 3[/tex][tex] \cos(\theta) = \dfrac{1}{3} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
please help ill give brainlist....
Answers
Find the volume of the figure below. Round your answer to the nearest hundredth if necessary.
9 km
5 km
5 km
5 km
5 km
Оа
280 km
Ob
320 km
Ос
225 km
Od
272 km
Answers
Answer:
C. 225 km3
Step-by-step explanation:
Terry wants to order tickets online for an amusement park. The cost of the tickets is
$15.00 per person. There is also a $3.50 one-time service fee for ordering tickets online.
Write an expression in terms of n that represents the cost for ordering n tickets online.
Answers
Answer:
15x+3.5=N
Step-by-step explanation:
hope this helps :)
Answer:
15.00n+3.50
Step-by-step explanation:
I think it is that scence I am not sure what the todal is but if that is wrong just flip flop it scence $15 will always be with the vareable in this case scence it isthe only number that can change but multiplying with 2+.
What number would you divide by to calculate the mean of 3, 4, 5, and 6?
A) 6
B) 3
C) 5
D) 4
Answers
Answer:
4
Step-by-step explanation:
Because it is the answer
A car travels for 2 hours 15
minutes at an average speed
of 64 mph. Calculate the
distance travelled.
Answers
Answer:
231.746 km
Step-by-step explanation:
Formula: [tex]distance = speed[/tex] × [tex]time[/tex]
Solution: To solve for distance use the formula for distance
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.
Firstly, convert the time from hours to minutes
2 hr 15 min = 2.25 hr
or 2.25 hr = 135 min
Now, use the formula:
135 × 64 = 8640
In km, the distance traveled is 231.74
6 in.
10 in.
12 in.
8 in.
16 in.
What is the area of the figure?
OA. 52 square inches
B. 152 square inches
O c. 192 square inches
D. 272 square inches
Answers
Answer:
152 square inches
Step-by-step Explanation:
To answer this, please look at the picture below. We can find the area by separating and combine the value of areas after calculating three values for each areas. (Notice that when we separate them, we get three rectangles which we can use the formula of width × length)
We should get 80+48+24 which add up to 152.
In case if you are confused which parts you don't understand in these photos, you can ask in the comment.
*yawn*...............
Answers
Answer:
yawwwwwwnnn......,....done
PLEASE HELP ME!!
Part A: The average rate of change between the 2nd and 3rd point is
Select a Value
(2,6,10,-6,-10)
Part A: The average rate of change between the 3rd and 4th point is
Select a Value
(2,6,10,-6,-10)
Part B: The average rate of change between the 2nd and 3rd point is
Select a Value
(2,6,10,-6,-10)
Part B: The average rate of change between the 4th and 5th point is
Select a Value (6,18,162,-54,-18)
Answers
Answer:
6 ; 10
18 ; 162
Step-by-step explanation:
Recall :
Rate of change = Slope = Rise / Run = (y2 - y1) / (x2-x1)
2nd point is (1, 7)
3rd point is (2, 13)
Rate of change = (13 - 7) /(2 - 1) = 6 /1 = 6
3rd and 4th point :
(2, 13)
(3, 23)
Rate of change = (23 - 13) / (3 - 2) = 10 /1 = 10
PART B:
(2, 11) ; (3, 29)
Rate of change = (29 - 11) / (3 - 1) = 18 /1 = 18
(4, 83)
(5, 245)
Rate of change = (245 - 83) / (5-4) = 162 / 1 = 162
HElP PLS I WILL DO ANYTHING BUT HELP
Answers
Answer:
1/32
Step-by-step explanation:
There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.
1/8 * 1/4 = 1/32 chance of landing on green and then blue.
what are the inequalities
Answers
14 - 5
13 - 5
12 - 5
11 - 5
10 - 5
9 - 5
8 - 5
7 - 5
6 - 5
5 - 5
I’m not sure if this was the answer you were looking for but I hoped it helped
Answer:
an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.
how do I learn all this by today at 6:30 pm any ways I can learn this faster?
Answers
Answer:
Practice
Step-by-step explanation:
Just keep trying maybe read it out loud or write it?
Answer:
Go though it fast but get the key info
Step-by-step explanation:
Given f(x) = -x + 1, solve for x when f(x) = 0.
Answers
Answer:
f(x) = -x + 1
0 = -x + 1
x = 1
Step-by-step explanation:
You put 0 in place of f(x).
PLEASE HELP!!! Will Give Brainliest!! Calculate the limit, if it exists, of the following (pre-calculus problem, please show work)