What is dilation?
Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor.
What is image?The new figure obtained after dilation is called image.
What is scale factor?Scale factor is the ratio of the sizes of the original figure with the dilated figure.
Scale factor formula[tex]scale factor = \frac{dimension of new shape }{dimension of original shape}[/tex]
According to the given question
Volume of solid = 6 cubic units
Surface area of solid = 22 square units
volume of image = 48 cubic units
therefore,
ratio of volumes = ratio of lengths
[tex]\frac{48}{6}[/tex] [tex]=8:1[/tex]
⇒ratio of sides = [tex]\sqrt[3]{8} :\sqrt[3]{1}[/tex]
⇒ ratio of sides = 2 : 1
Ratio of surface area of solid and image = square of ratio of sides = 4:1
⇒[tex]\frac{surface area of image }{surface area of solid} = \frac{4}{1}[/tex]
⇒[tex]\frac{surface area of image }{22} = \frac{4}{1}[/tex]
⇒ surface area of image = 4×21
⇒ surface area of image = 81square units.
Learn more about the surface area of dilated things here:
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q1 eeeeeeeeeeeeeeeeeeeeeeeeeee :/
A coin is tossed 50 times. It lands on heads 30 times. Based on this outcome, how many times is the coin expected to land on heads if tossed 200 times?
A. 60
B. 80
C. 100
D. 120
Answer:
D: 120
Step-by-step explanation:
30/50 = 120/200
Please help me on #1
My brain doesn’t want to work anymore.
Answer:
$2,231.25?
Step-by-step explanation:
Sorry if this is wrong!
Answer:
queston 1 is $1627.29
Step-by-step explanation:
please help and show work it helps a lot thanks
HELP MATH PROBABILITY
Answer:
50% 4 red marbles 8 total marbles
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
The answer is 2/12 but you simplify which gives you 1/6
When did we learn dis
who ever gets this will get a brainiest and a good rating
Answer:
201.06192983
Step-by-step explanation:
soz no explanation
The square number is 19 less than 100, what is the number?
Answer:
81
Step-by-step explanation:
100 - 19 = 81
and 81 = 9² ← a square number
Answer:
100-19=81
81 is the square of 9
helppppppppppppppppppppp!!!!!!!!!1
Answer: I need help too
Step-by-step explanation:
I think is -6
I Need some help understanding how to do this
Step-by-step explanation:
that's what I did ^^ (in photo)
Answer:
x=56
Step-by-step explanation:
because they are parallel lines, the angle 124 is the same measurement as the angle on the other side of the line with x. (look at the attachment, im bad at explaining with words lol)
then you do 180 - 124 (180 is the angle of a straight line) and you get x.
I need help 8t math plz
Answer: 175
Step-by-step explanation:
What is the least amount of material needed to cover the tops of both kitchen counters in square feet?
Mr. Jones wants to install new countertops on his 2 kitchen counters. The drawing below shows the dimensions of the counters.
Answer:
45 feet squared
Step-by-step explanation:
thats for sure the answer :)
Margo missed 30% of her free throw shots in a season. During the season she took a total of 90 free throw shots. How many did she miss
Answer:
27
Step-by-step explanation:
Select the best equation needed to solve for x; then solve for x:
A. 5x+12=x; x =14
B. 5x+12=x; x=28
C. 5x+12+x=180 ; x=14
D. 5x+12+x=180 ; x=28
Step-by-step explanation:
A. 5x=12x-14
you will simplify the equation to the form, which is simple to understand
5x=12x-14
We move all terms containing x to the left and all other terms to the right.
+5x-12x=-14
We simplify left and right side of the equation.
-7x=-14
We divide both sides of the equation by -7 to get x.
x=2
B. 5B+12=BB=28
you will move all terms to the left:
.5B+12-(BB)=0
you will move all terms containing B to the left, all other terms to the right
.5B-BB=-12
can sum1 help me asap plssss
1.What is 7% of 475.25 simplified to the nearest hundreths place :)
Answer:
33.27
Step-by-step explanation:
The answer is 33.2675 but to the hundreth place, it is 33.27
HELP ME PLEASE IM DYIN ON THIS T -T
Answer:
1). 452. 4
2. 615.8
3). 254.5
4) 380.1
5) 21.2
6). 3653.1
7) 547.4
8) 2808.6
Circumference-
9). 50.3
10) 53.2
I really hope this helps!
Answer:
1. 452.4
2. 615.8
3. 254.5
4. 380.1
5. 21.2
6. 3653.1
7. 547.4
8. 2808.6
9. 50.3
10. 52.2
Hope It Helps! I'm pretty sure they are correct!
The objective when solving an equation is to
a- Check the solution
b- Guess and check
C- Isolate the variable
d- Combine like terms
Answer:
the objective when solving an equation is A check the solution
PLEASE HELP VERY CONFUSED ON WHERE THE DOTS ARE.
Answer:
(3,3) ( 1,2) (3,1) (-2,-2) (-2 3)
Step-by-step explanation:
have a good day
Step-by-step explanation:
I learned this trick in 4th grade to run and then jump for positives and negatives in the top 2 boxes they do have names I just can't remember them. Sorry if my writings sloppy its hard to do it on a computer.
Please Help and give an explanation!!!
PLS HELP!! I'M TAKING A QUIZ AND IT'S TIMED!!!
A shipping box is in the shower of a rectangular prism. It has a volume of 9,000 in^3, and the dimensions of the base are 20 in. by 30 in. What is the height of the box?
A. 15 in.
B. 20 in.
C. 300 in.
D. 600 in.
Answer:
15
Step-by-step explanation:
15*20*30= 9,000
An irregular figure was broken into a triangle and rectangle.
The area of the triangle is
in2.
The area of the rectangle is
in2.
The area of the irregular figure is
in2.
Step-by-step explanation:
The area of the triangle is, 8×6/2 = 24 in²
The area of the rectangle is, 8×4=32 in²
The area of the irregular figure is,
(24+32) in²
= 56 in²
Answered by GAUTHMATH
Cinderella made many new friends at the castle. After asking her fairy godmother to help, she invited her friends to go on a picnic. There were 36 heads and 104 legs in the group of horses, carriages, and riders. How many horses and how many people were there?
Answer:
104 legs of horses means 26 horses, since you divide them by 4 to get the number of legs (4) per horse. If there are 36 heads and you subtract the 26 of the horses, you get 10 people heads. There were 26 horses and 10 people
Step-by-step explanation:
Is (3,9) a solution of the system of linear equations?
-6x + y = -9
x + y= -6
YES OR NO
pls helpppppppppppppppp
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE
Answer:
Translation 9 units to the right and 6 units up
Because on an x-y-graph, positive x goes to the right, and positive y goes up. Adding the 9 and 6 to the x and y shows both are moving in the positive direction.
Hope this helps :)
HELP ASAP I NEED HELP WITH MY MATH HW
Answer:
Step-by-step explanation:
I uploaded a picture hope it helps
Answer:
Question 8 is 21, Question 9 is 20.
Step-by-step explanation:
Ratios are very easy if you can find a relationship between them. For #8, to get from 2 to 6 is to multiply 3. Then we multiply 7 and 3 to equal 21. This will be equivalent ratios. The next one is the same thing, to get from 6 to 24, we must multiply 4. We know that to make it equivalent we must multiply 5 with 4 which equals 20. Also we can do this with proportions 2/7 = 6/x. We cross multiply which equals 2x=42. We solve it like an algebraic equation which equals 21. We set up proportions for 5/6 = x/24. We cross multiply which equals 6x = 120. We solve this like an algebraic equation which equals to 20.
Giving away brainliest to who can answer first
Answer:
No
Yes
No
Explain:
The ballon thing is getting longer if we fly them, so we can not accelerate it.
The length of the triangle doesn't change.
Paper airplane does shrinks, so the answer is no.
Angles DEF and PQR are supplementary. Which is the value of x? (x-6) (2x+42) A 18 B. 48 C. 132 D. 42
Answer:
x = 48
Step-by-step explanation:
(x - 6)⁰ + ( 2x + 42)⁰ = 180⁰
x - 6⁰ + 2x + 42⁰ = 180⁰
x + 2x - 6⁰ + 42⁰ = 180⁰
3x + 36⁰ = 180⁰
3x + 36⁰ - 36⁰ = 180⁰ - 36⁰
3x = 144⁰
3x / 3 = 144⁰ / 3
x = 48
Hope this helps, thank you :) !!
BRAINLIEST IF CORRECT !! HELP
Answer:
b for the first page and utilites for the second page
Step-by-step explanation:
Complete the following table so that it represents a linear function and determine the rate of change.
Answer:
let's say x1 = y2. for instance, that would mean that for every X, y would go up by 2. That would mean -1x = Y-2 because to get to -1 you have to subtract 1 by 2 because there is still 0 to account for.
so the table would look like this
-3=-6
-1=-2
1=2
3=6
5=10