Sissy wants to enlarge a picture of a constellation so that she can put it on the wall in her daughter’s room. What will be the area of the enlarged picture on the wall?
24 in.2
108 in.2
224 in.2
486 in.2
Answers
Answer: 486 in
Just did this on edge
The enlargement transformation applied to the rectangular figure gives
a rectangle that is enlarged and similar to the figure.
Correct response:
The area of the enlarged picture is 486 in.²The given dimensions of the picture are;
Height, [tex]\overline{MN}[/tex] = 6 in.
Width, [tex]\overline{LP}[/tex] = 4 in.
The length of QL' = 12 + 42 = 54
By similar triangles, we have;
[tex]\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{ \dfrac{\overline{QL'}}{\overline{QL}}}[/tex]
Which gives;
[tex]\dfrac{\overline{L'P'}}{6} = \mathbf{ \dfrac{54}{12}}[/tex]
[tex]\overline{L'P'} = \dfrac{54 }{12} \times 6 = \mathbf{27}[/tex]
Given that an enlargement gives similar figures, we have;
[tex]\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{\dfrac{\overline{L'M'}}{\overline{LM}}} = Scale \, factor \ of \ the \ enlargement[/tex]
Therefore;
[tex]\dfrac{27}{6} = \dfrac{\overline{L'M'}}{4}[/tex]
Which gives;
[tex]\overline{L'M'} = \dfrac{27}{6} \times 4 = \mathbf{ 18}[/tex]
The area of the enlarged picture is, A = [tex]\overline{L'M'}[/tex] × [tex]\overline{L'P'}[/tex]
Which gives;
A = 27 × 18 = 486
The area of the enlarged picture on the wall is A = 486 in.²
Learn more about scale factors and enlargement transformation here:
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Related Questions
using the elimination method how do I find x and y for the following problem:
3x+5y=-1
x + 5y = 4
Answers
Answer:
x is equal to -3, and y is equal to eight fifths, or 1.6
Step-by-step explanation:
Solving by elimination means to add or subtract one of the equations from the other, eliminating one of their common terms.
Because both of the provided ones have the term 5y (and no other y terms), let's use subtraction:
3x + 5y = -1
- ( x + 5y = 5 )
2x + 0 = -6
Which we can solve pretty quick:
2x = -6
x = -3
We can now solve either of the original equations for y:
x + 5y = 5
-3 + 5y = 5
5y = 8
y = 8/5, or 1.6
To make sure we're correct, let's test our results in the other equation:
3x + 5y = -1
3 × -3 + 5 × 8/5 = -1
-9 + 8 = -1
-1 = -1
So we're good!
I need help someone PLZZZ HELP ME
Answers
Answer:iiikkkkkkkhuf76v76r 7
Step-by-step explanation:12345678910
Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
O C. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]
Answers
Answer:
D
Step-by-step explanation:
So the associative and commutative properties basically say That you can change the orders of the numbers and the answer won't change (for multiplication and addition).
Your answer would be D because they added the numbers with a decimal place together, it makes it easier to look at, and add in your head.
Three more than seven times a number d is equal to fifty nine. What is the value of d?
Answers
Answer:
d = 8
Step-by-step explanation
Work Backwards:
59 - 3 = 56
56/7 = 8
Therefore d = 8
Answer:
Three more than seven times a number d is equal to fifty nine
According to the problem
[tex]7d + 3 = 59 \\ 7d = 59 - 3 \\ 7d = 56 \\ d = \frac{56}{7} \\ \boxed{d = 8}[/tex]
Value of d is 8.[tex]21x^2-25x-4=0[/tex]
Answers
Answer:
That's unreadable. Could you send a photo instead?
Step-by-step explanation:
HELP ASAP (20 POINTS)
The function f is modeled by the equation f(x) = 5x + 4 What is the range of the function when the domain is {-2,3,5}? A. {19,-6,29}
B.{-6,16,29}
C.{-6,19,29}
D.{14,16,24}
Answers
The range of the function will be;
⇒ { - 6, 19, 29 }
What is Domain?The set of all inputs of the function is called Domain of set.
Given that;
The function is,
⇒ f (x) = 5x + 4
And, The domain = {-2, 3, 5}
Now,
Since, The function is,
⇒ f (x) = 5x + 4
We know that;
The range of the function gives the value of f (x).
So, We get;
The function is,
⇒ f (x) = 5x + 4
Put x = - 2;
⇒ f (-2) = 5 × - 2 + 4
= -10 + 4
= - 6
Put x = 3;
⇒ f (3) = 5 × 3 + 4
= 15 + 4
= 19
Put x = 5;
⇒ f (5) = 5 × 5 + 4
= 25 + 4
= 29
Thus, The value of range = { - 6, 19, 29 }
Learn more about the domain visit:
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Two swimming teams are competing in a 400 meter medley relay. During the last leg of the race,
the swimmer in lane 1 has a 1.7 second head start on the swimmer in lane 2. The swimmer in
lane 1 is swimming at 1.9 m/sec. The swimmer in lane 2 is swimming at 2.3 m/sec.
Lett be the time since the swimmer in lane 2 started the last leg. After how many seconds into
the leg will the swimmer in lane 2 catch up with the swimmer in lane 1?
Answers
Answer:
4 seconds
Step-by-step explanation:
I completed a table, swimmer 1 started with 1.7 while swimmer 2 started with 0. After adding 1.9 to swimmer 1 each time and 2.3 for swimmer 2, swimmer 2 caught up at 4 seconds
Which polynomial is factored completely?
Answers
Completely factored:
(4x+4)(x+1) and 2x(x²-4)
Step-by-step explanation:
We have to check each option one by one, It is sum of two perfect square, As we know sum of two perfect square can't be factored. It is prime equation.
Here we have two factor (4x+4) and (x+1). In both factor degree of x is 1. It is complete factor form. Here we have two factor 4x and x²-4. For second factor it is further factor. Because it is difference of square. Factor of x²-4 = (x+2)(x-2)
Complete Factor: 2x(x+2)(x-2)[/tex],
Here variable are not same. So, it can't be factor (false)
A 16-ounce package of cereal costs $4.00. What is the unit cost?
Answers
Answer:
$0.25/1oz
Step-by-step explanation:
$4.00 / 16oz = $0.25 per ounce
Answer:
The answer is D) $0.25 for every 1 oz
Step-by-step explanation:
In order to find a unit cost of something, you divide the amount of money per item, by the amount of the product. So, you divide 4/16 and get .25. Then you know already that that is the unit cost. So, every 1 oz of the product costs 25 cents. Hope this helps :)
(6)(-7)
Can u help me with this question I don’t get it.
Answers
Answer:
i believe its -42
Step-by-step explanation:
6 × -7 u would multiply because when ever it shows u something like that u would multiply but if it shows + - then u add or subtract but we will multiply i hope u get it right :)
-56 - -8
(a) -64
(b) -48
(c) 49
Select the correct answer !!!!!!!!!!HELP OVER HERE!!!!!!!!!!!!
Answers
Answer:
-48
Step-by-step explanation:
-56 - -8
Subtracting a negative is like adding a positive
-56 +8
The signs are different so we subtract the two numbers and take the sign of the larger
56 -8 = 48
The larger number has a negative sign so the answer is negative
-48
PLEASE HELP MEeEeEe
10POINTS!
Answers
Answer:
Step-by-step explanation:
-4/10+(-7/10)=-1 1/10
f(x) = -402 + 4x – 4
Find f(3)
Answers
f(3) = -394
Plz help due tomorrow
Answers
Answer:
D, or the last option
Step-by-step explanation:
Answer:
1/2-5d
Step-by-step explanation: Commutative property you have to switch the order of the terms. Since your problem was -5d+1/2 just flip it, 1/2-5d.
What do you add to
5 3/7 to make 8?
Answers
Answer:
2 4/7
Step-by-step explanation:
3/7+4/7= 7/7 or 1 whole
So you add that to the 5 and get 6, then you need 2 to get to 8 because 6+2=8
Hope this helped!!!
Answer:
2 4/7
Step-by-step explanation:
let n = number to add to 5 3/7
change 5 3/7 to improper fraction: 38
7
change 8 to become 56
7
create equation:
38 + n = 56
7 7
n = 56 - 38
7 7
n = 18 or 2 4/7
7
check: 5 3 + 2 4 = 8
7 7
5 + 2 = 7 and 3/7 + 4/7 = 1
7 + 1 = 8
Which of the following is the missing value?
O 0.1
The relative frequency table below displays the
proportion of residents in an apartment complex
who prefer certain social media sites.
Upstart Aster Babble Techy
0.10
0.25
0.35
22
0.2
0.3
00.35
Answers
Answer:
C
Step-by-step explanation:
15 m
8 m
What is the length of the hypotenuse?
C=
meters
Answers
Pythagorean Theorem: a^2 + b^2 = c^2
A and B are the sides given to us, because they're not the hypotenuse. Square each at add them.
That leaves you with 289. Square root it, because we want to find C without being squared.
The square root of 289 is 17, so the hypotenuse is 17 m in length
Help me please I will give brainliest
Answers
I just know
On Friday night, Leah ate a pizza for dinner and had 1/3 of the pizza left over. On Saturday,
she ate 1/10 of what was left. How much of the pizza did Leah eat on Saturday?
Answers
Answer:
7/30.. hope this helps..
Solve using fractional law exponent rule
Answers
Answer:
hope this help
Step-by-step explanation:
8 3/ 5 so that is the answer
Can someone help me with this ASAP 25 points
Answers
Answer:
180(as straight line)-125=55
so SQR or x is 55 degrees
Answer:
x = 55°Step-by-step explanation:
Straight angle equals 180°
PQR = 180°
PQR = PQS + SQR angle addition postulate
180° = 125° + xx = 180° - 125°x = 55°What number is 0.409 more than 0.733? HELP
Answers
Answer:
= 1.223
Step-by-step explanation:
0.409 more than 0.733 means the addition of 0.733 + 0.409
0.733 + 0.409
= 1.223
Approximately to one decimal place = 1.2
The rain gauge shows 3 centimeters of rainwater.
Which of the equations below gives the height, h, if it rains at a rate of 0.25 centimeters per hour after t hours? Hint: the h is the "y" and the t is replacing "x"
A. h=0.25t+3h is equal to 0 point 2 5 t plus 3
B. h=3t+0.25h is equal to 3 t plus 0 point 2 5
C. t=0.25h+3t is equal to 0 point 2 5 h plus 3
D. t=3h+0.25
Answers
Answer:
h=0.25t+3
Step-by-step explanation:
y=mx+b
y=0.25x+3
replace y with h and x with t
h=0.25t+3
Becky and Meredith are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper.
Becky sold 7 rolls of plain wrapping paper and 1 roll of shiny wrapping paper for a total of $39. Meredith sold 7 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $72.
What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper?
Answers
Answer:
111
Step-by-step explanation:
72+39+1=111
A plumber charges $55 for a service call plus $35 per hour. If the plumber’s bill was $160, how many hours was he there?
Answers
160 = 35x + 55
-55
105 = 35x
3 = x
the plumber was there for 3 hours
What weight of flour will each family get if 12 families share 3/4 of flour equally
Answers
Answer:
1/16
Step-by-step explanation:
3/4 divide by 12=1/16
23
Knee socks are 2 pair for $3.18, and anklets are 3 pair for $4.47. Which of the following
is true?
Answers
Answer:
2 pair=3.18×2=6.36
3pair anklets=3×4.47=13.47
total=19.77
6.36+13.41
19.77
Peter wants to make for necklaces that are the same way. He asked his friends to cut the string for the necklace is 15 paper clips long. With all the links me the same explain your think
Answers
Correct question is;
Peter wants to make four necklaces that are the same way. He asked his friends to cut the string for the necklace 15 paper clips long. Would all the lengths be the same? Explain your think
Answer:
No, the lengths would not be the same. This is due to the fact the the paper clips could be in different sizes.
Step-by-step explanation:
We are told that he wants to make four necklaces that are the same way and that he told his friends to cut the string for the necklace 15 paper clips long.
Now, we are not told the sizes of the paper clips and we know that paper clips come in different sizes. Thus the paper clips in which the strings are cut could be in different sizes. Therefore, the lengths wouldn't be the same due to that.
What is the exact value of the cotangent of 240 degrees?
Answers
Answer:
0.57735026919
WILL MARK BRAINLEST!!!!!!
What should be the first step in adding these equations to eliminate y?
8x + 3y = 2
+ 4x - 6y= -7
O A. Multiply the top equation by 4.
O B. Multiply the bottom equation by 8.
C. Multiply the bottom equation by 2.
D. Multiply the top equation by 2.
Answers
D. Multiply the top equation by 2.
Answer:
D
Step-by-step explanation:
Given the 2 equations
8x + 3y = 2 → (1)
4x - 6y = - 7 → (2)
Multiplying the top equation (1) by 2 and adding to (2) will eliminate y
16x + 6y = 4 → (3)
Add (2) and (3) term by term to eliminate y
20x + 0 = - 3
20x = - 3 ( y has been eliminated )
