A scale factor of 4 applied to the dimensions of the prism. What effect will this have on the volume?
Answers
Answer:
its not A just took the test
Step-by-step explanation:
The effect this scale factor has on the volume is that the volume will be 64 times larger. The correct option is B.
What is a Scale factor?Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k².
to get each other corresponding quantities from their similar figures' quantities.
So the area of the first figure = k² × area of the second figure
Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
The volume of the first figure = k³ × volume of the second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Since the volume is the product of three linear quantities.
Therefore, if the scale factor of 4 is applied to the given prism then the volume of the prism will grow by 4³. Thus, we can write,
The volume of the scaled prism = 4³ ×Volume of the original volume
The volume of the scaled prism = 64 ×Volume of the original volume
Hence, the effect this scale factor has on the volume is that the volume will be 64 times larger.
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Related Questions
what is the best estimate for the product 4 times 24
Answers
Answer:
20×4=80
4×2×10=80
Step-by-step explanation:
To estimate the result of multiplication (product), round the numbers to some close numbers that you can easily multiply mentally.
One method of estimation is to round all factors to the biggest digit (place value) they have.
you need to round 24 to the nearest ten which is 20 and leave 4 as it is
Amy has $725 in savings. She plans to save an additional $25 per month. What is the number of additional months Amy will need to save money in order to have exactly $1,000?
A.11
B.29
C.40
D.69
Answers
Answer:
11 months
Step-by-step explanation:
We know that Amy has a saving of $725 which she needs to make it up to $1000 by saving $25 each month.
This means that Amy needs to save $1000 - $725 = $275 more dollars to have exactly $1000 dollars.
If Amy saves $$25 each month, then the number of months that she needs to save money will be = 275 / 25 = 11 months
pakisagoat HAHAHAHAHHWHAHAH
Answers
Answer:
wdym
Step-by-step explanation:
Find the slope of the line y
= -1/8x + 7/6
Answers
Answer:
The slope is -1/8 and the y intercept is 7/6
Step-by-step explanation:
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/8 x + 7/6
The slope is -1/8 and the y intercept is 7/6
3. Given the equation y = -3x + 6, what is the slope of the line? And what is y intercept?
Answers
Answer:
The slope of the line is 3 and the y intercept is 6
Step-by-step explanation:
Trust me
Write an equation of the line passing through the points (4.15) and (-1. - 15).
Answers
Answer:
y = 6x - 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (4, 15)
Point (-1, -15)
Step 2: Find slope m
Substitute: [tex]m=\frac{-15-15}{-1-4}[/tex]Subtract: [tex]m=\frac{-30}{-5}[/tex]Divide: [tex]m=6[/tex]Step 3: Find y-intercept b
Define: y = 6x + bSubstitute: -15 = 6(-1) + bMultiply: -15 = -6 + bIsolate b: -9 = bRewrite: b = -9Step 4: Write linear equation
Substitute in all variables.
y = 6x - 9
And we have our answer!
can you help me?
its math
Answers
Answer:
x<-72
The student divided by 6 instead of multiplying by 6
Step-by-step explanation:
Correct:
x÷6<-12
multiply each side by 6
x<-72
What the student did:
x÷6<-12
divide by 6
x÷6<-2
The student divided by 6 instead of multiplying.
The ratio of girls to boys is this great is 6 to 8 is there are 120 girls how many boys are there
Answers
Answer:
160
Step-by-step explanation:
if girls is 6 and boys is 8
and there are 120 girls
120g= 6g * 20
meaning you multiply 8 by the same thing
160= 8b * 20
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( >3<) - there
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$18.79 + $2.11 + ‐$1.92 + $17.28
Answers
Stan made changes to
his driving habits and
went from 18 mpg to
22 mpg. What was
Stan's percent
increase in his gas
mileage?
Answers
Answer:
22%
Step-by-step explanation:
PLease HELPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
5x, -2x, x
Step-by-step explanation:
Like terms have the same variable parts.
The variable part of 3x is x.
Any term that has only x as its variable part is a like term to 3x.
Answer: 5x, -2x, x
Write the equation of the line in slope intercept form.*
Answers
Answer:
y=-4(x+1)+3
Step-by-step explanation:
work in in the picture
Find slope of -2,3 and 4,-5
Answers
y2-y1 is -5-3 which is -8 and x2-x1 is 4-(-2) which is 6 so you get
-8/6= -4/3
Explain it or I will not be accepting your answer.
Answers
Answer:
$10 an hour
Step-by-step explanation:
You go to the one hour than go up to where the line is and find out what the number is
Answer:
Step-by-step explanation:
Ok, so to solve this problem, you need to find the slope of the line. You know this is what you need to find because units for slope is the y-axis units (dollars) divided by the x-axis units (hours), and your answer must be in dollars per hour based on the question. To find your slope, you use the formula (y2-y1)/(x2-x1). Basically, pick any two points on the graph. I will use (2,20) and (4,40). Now, find the change in x (4 - 2, or 2) and the change in y (40 - 20, or 20) and divide the change in y by the change in x (20/2) to get your answer.
Does anyone have tips on writing the middle of your story im not good at it and i need help
Answers
Answer:
What is your story about It could be the exciting part of your story!
Step-by-step explanation:
n Huda evaluated the expression below. -3(8-5)--(-7) -3(3)- - (-7) -3(9)-(-7) 27-(-7) What was Huda's error? Huda evaluated (3) 2 incorrectly. 0 Huda found the product of -3 and 9 as positive. Huda subtracted -7 from 27 incorrectly. Huda did not follow the order of operations.
Answers
Answer:
B
Step-by-step explanation:
HELPPP!!!!! AGAIN !!! MAARKING BRAINLIST! mAtH
Answers
Answer:
S = 10
Step-by-step explanation:
Proportion is 2:1
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
S = 10
Step-by-step explanation:
If they are congruent then 8 dived by 2 is 4.
To solve for S you reverse it, 5 times 2 is 10.
PLS HELP ILL MARK BRAINLIEST
Answers
Answer:
8 and 6
Step-by-step explanation:
8x6=48
2(8+6)=28
2(14)=28
why are radioactive isotopes not useful for dating sedimentary rocks?
Answers
Sedimentary rocks can be dated using radioactive carbon, but because carbon decays relatively quickly, this only works for rocks younger than about 50 thousand years. So in order to date most older fossils, scientists look for layers of igneous rock or volcanic ash above and below the fossil.
Answer:
Sedimentary rocks can be dated using radioactive carbon, but because carbon decays relatively quickly, this only works for rocks younger than about 50 thousand years. So in order to date most older fossils, scientists look for layers of igneous rock or volcanic ash above and below the fossil. can u mark mr brailest
Step-by-step explanation:
Write the standard form equation for the line: y+1=-45(x+5).
Answers
in a company, 55% of the workers are menIf 2,385 people work for the company who aren't menhow many workers are there in all? Use pencil and paper. Show different ways that you can solve this problem
Answers
Step-by-step explanation:
2385 arent men (45%)
55% are men
how many total person:
2385/45: 53 people for each 1%
53x100:5300 total people
Simplify the following expression: 15 POINTS
5(-9 + 2x) + 6(8 - 9x)
ASAP PLEASE FAST
Answers
3-44x
hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section
I just need a run down on how to find a linear equation from two points I'll give Brainiest
Answers
I will mark you brainiest if you help me thanks
Answers
Answer:
a. 121
b. 32100
c. 0.2
d. 400
Step-by-step explanation:
a. Quick disclaimer: If there's a decimal point on the divisor, in this case it would be .05, you have to move the decimal point until it has no decimal, in this case .05 would become 5.0 or just 5. The other number also has to have it's decimal point moved as much as the divisor, in this case two times, so it would be from 6.05 to 605. So with this in mind: 605/5 = 121
b. 96.3/.003 = 96300/3 = 32100
c. 0.12/0.6 = 1.2/6 = 0.2
d. 3.2/.008 = 3200/8 = 400
What is the domain of f?
Answers
Answer:
(-7,7)
Step-by-step explanation:
Which of the following equations have infinitely many solutions
Answers
Answer:
All options
Step-by-step explanation:
In each option, the left and right side of the equation are identical, meaning whatever values that [tex]x[/tex] take will result in the left and right side of the equation to be equal. This means that the equation will have infinitely many solutions.
Hope this helps :)
Level 1 Enter the correct 4 digit code (no spaces)
Answers
Answer:
2341
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The correct 4-digit code is 4321.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the picture.
We have to see the line from A, B, C, and D that touches the numbers given.
Now,
A touches the number 4
B touches the number 3
C touches the number 2
D touches the number 1
The 4-digit number must be written in the sequence of ABCD.
So,
4321 is our four-digit number.
Thus,
The correct 4-digit code is 4321.
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Item 11
A bag contains 6 red marbles. The ratio of red marbles to blue marbles is 2 for every 5. Find the number of blue marbles in the bag.
Answers
Answer:
15 blue marbles
Step-by-step explanation:
every 2 red marbles, 5 blue.
6/2=3 5x3=15
2 red - 5 blue
4 red - 10 blue
6 red - 15 blue
Which first step for solving the given system using substitution results in an equation without fractions?
Answers
Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
2/3 of all your books are fiction. 1/6 of those are historical fiction.
What fraction of all your books are historical fiction?
A.1/9
B.1/18
C.1/3
D.1/2
Answers
Answer:
1//18
Step-by-step explanation:
2/3 * 1/6= 1/18
You first do 2*1
Then 3*6
Answer: A. 1/9
Step-by-step explanation:
to find what fraction of all your books is historical fiction, you would multiply how the fraction of all your books that are fiction by the fraction of fictional books that are historical fiction.
this gives you 2/3 times 1/6.
from there you simply multiply the numerators (2x1=2)
and the denominators (3x6=18)
leaving you with 2/18
but that can be simplified, giving you the final answer of 1/9