Given the scale factor R = 1/3, if AB = 12 cm, how ling is A’B’?
A. 36 cm
B. 3 cm
C. 8 cm
D. 15 cm
E. 4 cm
Answers
Answer:
E. 4 cm
Step-by-step explanation:
Given:
Scale factor (R) = [tex] \frac{m_{image}}{m_{preimage}} = \frac{1}{3} [/tex]
AB = 12 cm
Required:
Length of A'B'
SOLUTION:
A'B' = length of the image = x cm
AB = length of the preimage = 12 cm
Thus, using the scale factor given, the length can be calculated as shown below:
[tex] \frac{m_{image}}{m_{preimage}} = \frac{x}{AB} = \frac{1}{3} [/tex]
[tex] = \frac{x}{12} = \frac{1}{3} [/tex]
Multiply both sides by 12
[tex] \frac{x}{12}*12 = \frac{1}{3}*12 [/tex]
[tex] x = \frac{12}{3} [/tex]
[tex] x = 4 [/tex]
x = A'B' = 4 cm
Related Questions
The smaller of two consecutive even integers is five more than one half of the greater. Find the integers.
Answers
Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as [tex]\frac{1}{2}[/tex](n + 2).
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Solvew for n.
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Let's multiply each side by 2, to get rid of the fraction, [tex]\frac{1}{2}[/tex].
2 (n) = 2(5 + [tex]\frac{1}{2}[/tex](n + 2))
2n = 2* 5 + 2*([tex]\frac{1}{2}[/tex](n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14
Tickets to a school play for teachers costs $15.00, for students $5.25. what is the total cost if 2 teachers and 3 students attend the play?
Answers
Answer:
$45.75
Step-by-step explanation:
15x2=$30
5.25x3=$15.75
30+15.75=$45.75
im in the 6th and im helpful and i like to do math
Answers
Answer:
ok
Step-by-step explanation:
Construct a line through the point (3,1) that is perpendicular to the line through (2,12) and (5,18). Answer in slope-intercept form.
Answers
Answer:
y = -1/2x +5/2
Step-by-step explanation:
The equation of the desired line can be determined by first finding the slope of the line between the two reference points. Then the point-slope equation of the desired line can be written, and that can be rearranged to slope-intercept form.
__
The slope of the line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (18 -12)/(5 -2) = 6/3 = 2
The slope of the perpendicular line is the opposite reciprocal of this:
m' = -1/m = -1/2
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line we want can be described by the equation ...
y -1 = -1/2(x -3) . . . . . line with slope -1/2 through point (3, 1)
__
Rearranging to slope-intercept form, we find ...
y = -1/2x +3/2 +1
y = -1/2x +5/2
_____
Additional comment
The geometry program used to draw the figure in the attachment shows the line's equation in standard form to be ...
x +2y = 5
Solving for y gives the slope-intercept equation:
2y = -x +5 . . . . . . . . subtract x
y = -1/2x +5/2 . . . . . divide by 2
The graph to the right is the uniform probability density function for a friend who is x minutes late.
(a) Find the probability that the friend is between 10 and 20 minutes late.
(b) It is 10 A.M. There is a 30% probability the friend will arrive within how many minutes?
Answers
Using the uniform distribution, it is found that:
a) There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.
b) Within 9 minutes.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Researching the problem on the internet, it is found that the variable is uniform with a = 0 and b = 30.
Item a:
[tex]P(10 \leq X \leq 20) = \frac{20 - 10}{30 - 0} = 0.3333[/tex]
There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.
Item b:
This is x for which P(X < x) = 0.3, hence:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.3 = \frac{x}{30}[/tex]
[tex]x = 9[/tex]
Within 9 minutes.
To learn more about the uniform distribution, you can check https://brainly.com/question/13889040
Which statement(s) are true? multiple choice question
Answers
Step-by-step explanation:
the more likely an event the closer it is to being certain
the more unlikely an event the closer it is to being impossible
what is the acceleration of a baseball when its speed increases from 1 m/sec to 25 m/sec in 1 second?
Answers
Answer:
24 m/s²
Step-by-step explanation:
Acceleration is change in velocity over time.
a = Δv / Δt
a = (25 m/s − 1 m/s) / 1 s
a = 24 m/s²
Could you please answer these
Answers
Step-by-step explanation:
here u gggggggggggggggoooo
Answer:
x = 4, y = 2 or (4, 2)
Step-by-step explanation:
Given :-
2x + 3y = 14 -(1)
x + 3y = 10 -(2)
To Find :-
x and y
Solving :-
Subtract (2) from (1).
=> x = 4
Substituting value of x in Equation 2 :-
4 + 3y = 10
3y = 6
=> y = 2
Solution :-
x = 4, y = 2
Josephine decides this shed is a little too big. She decides to cut 2 feet off the length and 2 feet off the width. She says this will make the shed 4ft^3 smaller. Explain with words and numbers why Josephine is incorrect
Answers
Answer:
Josephine needs to include the height as part of the volume calculation.
Step-by-step explanation:
See attached image.
795 times 12 then add 6754 then divided by 7
Answers
2,327.71
Answer:
795 * 13 + 6754 / 7 = 2,327.71
Step-by-step explanation:
795 * 13 + 6754 / 7 = 2,327.71
You deposit $3500 in an account. Find the interest earned in 5 years at a simple interest rate of 7 1/2% per year.
Answers
Answer: $1312.5 is the amount of interest earned in 5 years.
7:8:9=__:12:__ 20 characters lolololol
Answers
Answer:
21/2 : 12 : 27/2
Step-by-step explanation:
7:8:9=__:12:__
12/8 = 3/2
Multiply each term by 3/2
7*3/2 :8* 3/2 :9*3/2
21/2 : 12 : 27/2
A submarine at - 45 feet dives 50 feet. Write an expression to represent the submarine's elevation. Need help
Answers
-150+(-45)= -195
Negative since it’s deeper
this might be yo answer im not sure
i hope this helped u tho
Jennifer is planning a holiday. The hotel costs $130 per night and her flight costs $600. She has a budget of $2,000 for hotel and flights.
If x represents whole nights at the hotel, complete the inequality below to show how many nights Jennifer can afford. The answer must be a whole number.
Answers
Answer:
kindly house you have a good day and I will be there
Answer:
you can get one hotel
Step-by-step explanation:
Which expression is equivalent to (4^5/4x4^1/4/4^1/2)^1/2?
Answers
Answer:
2Step-by-step explanation:
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Please help ill vote you brainliest. [tex]-2 ^-3[/tex]
Answers
Answer:
Ok.
Your answer is -1/8
Have a nice day!
Step-by-step explanation:
I believe the answer is - 1/8
A video store took in $450 in DVD rentals during one day. If DVDs rent for $9 each, how many DVDs were rented.
Answers
Answer:
50
Step-by-step explanation:
This is because if each DVD costs $9 and the total cost was $450 then all you have to do is divide the numbers.
The solution is like this,
450/9= 50
1. Alex decided to look at new and used SUVs. He found a used SUV for $24,000. if a new SUV is $32,000, what percent of the price of a new
SUV does Alex pay for a used SUV
Answers
Answer:
25%
Step-by-step explanation:
used SUV = $24000
new SUV = $32000
find the differences between the new SUV and the used SUV.
$32000 - $24000 = $8000
take the difference price and divide by original price ( $32000 ), multiply with 100
8000/32000 x 100
=25%
The sum of four consecutive even integers is 180
Answers
The next four consecutive even numbers would be A+8, B+8, C+8, & D+8. Consequently their sum would be 180+4*8 = 212.
If x = 2 and y = -3, what is the value of 2x^2−3xy−2y^2
HELPPP
Answers
Answer:
8
Step-by-step explanation:
2(2)^2‒3(2*‒3)‒2(‒3)^2
2*4‒3(‒6)‒2(9)
8‒(‒18)‒18
8+18‒18
26‒18
8
i think it is easy to understand &i hope it will helps you
Peter bought 3 different types of
cheese. He bought 1/4 pound of each
type of cheese. How much cheese
did Peter buy in all?
Answers
Answer:
3/4 lb
Step-by-step explanation:
You can use multiplication:
3 × 1/4 lb = 3/1 × 1/4 lb = 3/4 lb
You can also use addition:
1/4 lb + 1/4 lb + 1/4 lb = 3/4 lb
Answer:
Peter bought 3/4 lb of cheese.
Step-by-step explanation:
To find out the total amount of cheese, you have to multiply 3 types by 1/4 lb which is 3*1/4 = 3/4. I hope this helps!
What expression shows 3 less than a number?
A. n + 3
B. n - 3
C. 3 - n
D. 3n
Answers
Hey there!
Remember, 3 less than a number means we subtract 3 from that number.
It's the same as "a number minus 3"
Now, let's check all 4 options and see which one's right.
The first one is
n+3
Well, that's definitely not the right option, because it says "a number plus 3"
Is it Option B? Yeah!
Because n-3 is the same thing as "a number minus 3"
Is it Option C? Nope!
Because 3-n is the opposite of "a number minus 3"
Is it Option D? no.
Because 3n means "3 times a number"
Hence, the right expression is
[tex]\boxed{\boxed{\bold{n-3}}}[/tex]
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
Each line of a computer printout contains 72 characters. A: how many characters can print in a 75-line report? B:The computer printer can print 135 characters each second. How long will it take to print this report.
Answers
5 pages X 60 minutes = 300 pages per hour
It will take 1 hour to print 300 pages on a printer that prints at 5 pages per minute. Do you have enough ink to print 300 pages?
Wanda pays $19.50 per month for her gym membership. She can take yoga classes at her gym that
cost an additional $8 per class. At the end of January, she paid $43.50 in total. How many yoga classes
did Wanda take in January? Write and solve an equation.
Answers
Answer: She took 6 yoga classes
Step-by-step explanation: So first
Subtract
$43.50 - $19.50 = $24
Carry then Divide
$24 / 8 = 6 Classes
PLEASE MARK ME BRAINLIEST!!!
If x > 0 and y > 0, where is the point (x, y) located?
Answers
Answer:
Quadrant I, see both images below...
Step-by-step explanation:
Suppose a pack of candy bars has 6 bars. Each bar weighs 5.87 ounces. How much does the pack weigh
Answers
Answer:
It would weigh 35.22 ounces.
Step-by-step explanation:
If there are 6 bars, that weigh 5.87 ounces each, then multiply the 2 values:
6 bars x 5.87 ounces = 35.22 ounces.
If you feel like this helped you, feel free to give me Brainliest! :)
1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm
Answers
Answer:
900 g
Step-by-step explanation:
let e be extension and w be weight
given e varies directly as w then the equation relating them is
e = kw ← k is the constant of variation
to find k use the condition w = 150 , e = 2.9 , then
2.9 = 150k ( divide both sides by 150 )
[tex]\frac{2.9}{150}[/tex] = k , that is
k = [tex]\frac{29}{1500}[/tex]
e = [tex]\frac{29}{1500}[/tex] w ← equation of variation
when e = 17.4 , then
17.4 = [tex]\frac{29}{1500}[/tex] w ( multiply both sides by 1500 )
26100 = 29w ( divide both sides by 29 )
900 = w
How do you identify a table as linear, exponential, or quadratic?
Answers
The way to identify these tables is through the way that the value of y increases.
How to identify a linear tableA linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.
How to identify an exponential tableThis is the table that the value increases with a common ratio. The y value doubles in this case.
How to identify a quadratic tableThis is a table that has a constant second difference.
Read more on Quadratic and linear functions here:
https://brainly.com/question/25841119
Convert the following into percentage. 2.00 =
Answers
Answer:
2/100
Step-by-step explanation:
to find a percentage you times by a hundred
Jen was making cake pops for the bake sale. After 3 hours, she had completed half of the work. She called Maryna for help and together they finished everything in half an hour. How long would it take Maryna to finish the job alone if she replaced Jen after Jen baked for 3 hours?
Answers
Answer:
Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6
Step-by-step explanation:
It says, " After 3 hours, she had completed half of the work" it means it would take all together Jen 6 hours to do the entire job.
It says, " together they finished everything in half an hour", so that means Jen does an a little bit more work, [1/2 / 6] or 1/12 for the entire job , and Maryna does 5/12 of the whole job in 1/2 hr.
Then, the equation would have been (5/12) / (1/2) = (6/12) / t, and the time for Maryna to finish on her own portion she would be doing 6/12 (half) of the whole job.
So therefore Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6 :)
Hope this helped : )