A scale factor of 4 applied to the dimensions of the prism. What effect will this have on the volume?

A Scale Factor Of 4 Applied To The Dimensions Of The Prism. What Effect Will This Have On The Volume?

Answers

Answer 1

Answer:

its not A just took the test

Step-by-step explanation:

Answer 2

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.

Learn more about Scale factors here:

https://brainly.com/question/11178083

#SPJ5


Related Questions

Which of the following values are solutions to the inequality 4+2x\le 4?4+2x≤4?
\text{I.}\hspace{2px}0\hspace{20px}\text{II.}\hspace{2px}-4\hspace{20px}\text{III.}\hspace{2px}-3
I.0II.−4III.−3

Answers

I got 14 to the third power because when You multiply the quadratics

A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?

45°
90°
180°
270°

Answers

Answer:

C) 180

Step-by-step explanation:

I hope this helps

Good luck ;)

The difference between the intercepted arc is 180°

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.

A secant and a tangent meet at a 90° angle outside the circle. Hence:

90° = (1/2) * difference between the intercepted arc

Difference between the intercepted arc = 180°

The difference between the intercepted arc is 180°

Find out more on angle at: https://brainly.com/question/25770607

Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to

$

15.95

plus a tax of

$

1.17

. He gave the waitress a $20 bill and two dimes.


How much change will Cody get back?

Answers

Answer:

2.88

Step-by-step explanation:

You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back

a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain

Answers

it’s a type of range

Answer:

relation

Step-by-step explanation:

i just took the test and got it wrong because of the other answer

what is the solution set of the above question ?

Answers

Answer:

The solution set is { } or ∅ ⇒ empty set

Step-by-step explanation:

2x + 10 < 10

→ Subtract 10 from the two sides of the inequality

∵ 2x + 10 - 10 < 10 - 10

∴ 2x < 0

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]

x < 0

∴ The solutions are all the negative numbers

x ∈ N

N is the set of Natural numbers

→ The natural numbers start at 1 and include all positive whole numbers

N = {1, 2, 3, 4, 5, ..............}

∵ N does not contain any negative numbers

∴ The solution set is an empty set ⇒ ∅

The solution set is { } or ∅

Question 1:
Solve for k :

Answers

answer; -36

step by step explanation: divide 108 and -3 and because there is one negative it’d be -36


hope this helps

Answer:

Step-by-step explanation:

Equation:

-3k = 108

We need to separate -3 from k. So we must do the inverse operation.

Divide both sides by -3

k = -36

Hope this helps :)

Please consider Brainliest :)

Given the following number line, select all of the true statements.



|a| > |b|
a b
a > b
0 0

Answers

Answer:

b

Step-by-step explanation:

7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d

Answer:

doing this in oddseyware rn its is A C D F

mark brainlist

Step-by-step explanation:

Choose true or false for each statement.

Answers

Answer:

a:t

b:f

c:f

d:t

e:f

I think

What x value sloves the equation .
3x-5=1

Answers

3x-5=1
+5 +5
3x=6
3 3
X= 2

What is the exchange rate for converting British pounds (GBP) to Australian dollars (AUD)? Answer and get 50 dollars on cashapp, FIRST COME FIRST SERVER

Answers

1 Pound is equal to 1.81 Australian Dollars

1 Pound sterling equals  1.81 Australian Dollar

i was doing fine until i came to this question please help
i dont know what its asking

Answers

x=6 because you must do this

6x-9=4x+3
Add 9 to both sides

It becomes
6x=4x+9

Then subtract 4x

It becomes 2x=12

Divide 2 by both sides

It becomes
X=12 divided by 2
Which of course is 6

X=6

Can anyone help me with this?

Answers

Answer: X= 3^-1

X= -0.75

Step-by-step explanation:

X=-0.75
Explain: mdhdmhshsbb

A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.
Which of the following wax mixtures will create the same shade of pink?

(A) 10 mL of red wax mixed wit 24 mL of white wax

(B) 48 mL of red mixed with 12 of white wax

(C) 13 mL of red mixed with 6 mL of white wax

(D) 36 mL of red mixed with 15 mL of white wax

(E) 60 mL of red mixed with 24 mL of white wax

Answers

The mixture that will create the same shade is D

Keiko, Juan, and Tony have a total of $80 in their wallets. Keiko has $5 less than Tony. Juan has 3 times what Tony has. How much does each have?

Answers

Answer:

Keiko 12 +  Juan 51 + Tony 17 = $80

Step-by-step explanation:

K + J + T = 80

K=T-5

J=3T

T=T

T-5 + 3T + T = 80

5T -5 = 80  -->  5T = 85 --> T = 17

now that u know T=17, substitute the value of T to find K and J

K=(17)-5 = $12

J=3(17) = $51

T= $17

Someone please help me with this chart, I don’t understand it.

Answers

Answer:

The second one is (3 x 3 x 3 x 3) x (3 x 3)

Step-by-step explanation:

Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope

Answers

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

2. What are the slope and y-intercept of the
line described by y = 3x - 6?

Answers

Answer:

If your trying to find the slope and y-int of that equation:

Slope: 3

y-int: (0, -6)

12(x - 6) = 2(x - 9)

Answers

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

What is the slope of the line

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (2, 0)

Point (5, -1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-1-0}{5-2}[/tex]Subtract:                       [tex]m=\frac{-1}{3}[/tex]

And we have our answer!

A video game store adds a 25% markup on each of the games that it sells. In addition to the manufacturer's cost, the store also pays a $1.50 shipping charge on each game.

Answers

Answer:

[tex]y=1.25x+1.5[/tex]

Step-by-step explanation:

Step one:

given data

let the manufacturing cost of the video game be x

25% of x

=25/100*x

=0.25x

the new price of the video game will be

=0.25x+x

=$1.25x

cost of shipping is given as $1.5

let the total cost of producing a video game be y

The expression for the total cost of one video game is given as

[tex]y=1.25x+1.5[/tex]

A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?

Answers

Answer:

The rabbit is faster, as it has a speed of 44 mph.

Step-by-step explanation:

Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.

In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.

Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.

Find the exact value of sin(x + y), given sin(x) = -1/2 , cos(y) = -1/3, x is an angle in quadrant III, and y is an angle in quadrant II.

StartFraction 2 minus StartRoot 5 EndRoot Over 6 EndFraction

StartFraction 1 minus 2 StartRoot 6 EndRoot Over 6 EndFraction

StartFraction 6 minus StartRoot 5 EndRoot Over 6 EndFraction

StartFraction StartRoot 3 EndRoot minus StartRoot 5 EndRoot Over 6 EndFraction

Answers

Given:

[tex]\sin (x)=-\dfrac{1}{2}[/tex]

[tex]\cos (y)=-\dfrac{1}{3}[/tex]

x is an angle in quadrant III, and y is an angle in quadrant II.

To find:

The value of sin(x+y).

Solution:

We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.

x is an angle in quadrant III,

[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]

[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]

[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]

[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]

[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]

y is an angle in quadrant II.

[tex]\sin y=\sqrt{1-\cos^2x}[/tex]

[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]

[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]

[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]

Now,

[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]

[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]

[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]

[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]

Therefore, the correct option is B.

Answer:

Choice B

Step-by-step explanation:

2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)

Answers

Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

i need help with these ​

Answers

Answer:

7+4=11

Step-by-step explanation:

12/3 equalls 4 because the 12÷3=4.

What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.

A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.

Answers

The correct answer is A

Answer:

A triangle has three congruent sides

Step-by-step explanation:

100% .

Find the distance from point A(−14, 5) to the line −x+2y = 14.

Answers

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

[tex]-x+2y= 14[/tex]

And the point is:

[tex]A = (x_1,y_1) = (-14,5)[/tex]

The standard form of equation of line is:

[tex]Ax+By+C = 0[/tex]

Converting the given equation into standard form

[tex]-x+2y-14=0[/tex]

The distance of a point (x1,y1) from a line is given by the formula:

[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

Find the percent increase. Round to the nearest percent.

From 76 books to 131 books

The percent increase is _____%

Answers

Answer:

I think it's a 72.36% increase

Step-by-step explanation:

I'm not completely sure but that's what the calculator I used said..

Answer:

3

Step-by-step explanation:

Find the amount of change.

Amount of change = Greater Value − Lesser Value

= 131 − 127 Substitute values.

= 4 Subtract.

Find the percent increase. Round to the nearest percent.

Percent Change =  

Amount of Change

Original Amount

 

=  

4

131

 Substitute values.

≈ 0.03 Divide and round to the nearest hundredth.

= 3% Write as a percent.

The percent decrease is 3%.

pls press the heart if this was helpful

help I need this asap I will give the brainiest

Answers

the pictures aren’t clear..


need help pls help :(

Answers

Answer:

Neither

Step-by-step explanation:

function A is  non linear

10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B

Answers

Answer:

12 boxes or C.

Step-by-step explanation:

Max = divide.

GCF=12.

LCM = 144.

Difference:

144/12 or 12.

So 12 boxes

Hope this helps :D

Other Questions
A disruption in the soil cycle results in increased runoff into the ocean.O TrueFalse Jefferson's recently paid an annual dividend of $1.31 per share. The dividend is expected to decrease by 4% each year. How much should you pay for this stock today if your required return is 16%? A 5.5 percent coupon bond ( coupon rate=5.5%) has a face value of 1,000 and a current yield of 5.64 percent. What is the current market price? Question 7 of 30 Antitrust laws promote greater efficiency and lower prices by protecting what? O A. Workers W B. Consumers C. Competition D. Infant industries SUBMIT French II, help ! Fill in the blank in the following dialogue with the appropriate definite or indefinite article below. 20 points - thank you in advance ! Paintings of the Buddha were forbidden in temples.Please select the best answer from the choices providedTF Elmo will rule the world that are the ways he will? (x+1)(x+5)0Solve and write solution in interval notation The name given to the leader of Ancient Egypt. These men and women were believed to have divine right, or were "godlike" while ruling.AsultanBpharaohvizier 2. What does George Will mean when he says independent candidates could splinter the electorate?Why would this be important? The expression (x^3)(x^17) is equivalent to xn. What is the value of n? please help, will give brainlist(x-2)(x-1) use the distributive propertyplease explain as well! If you Know Hamilton you would understand Answer these Four questions1.Who are Alexander hamilton friends( Name all three of them)2. Who was singing the song satisfied?3. Who Killed Hamilton and Why4. (finsh the lyrics) Angelica, Eliza and... who is it? which of these is an example of nativism? 3. What is the difference between the majority and the minority decision in a Supreme Court case? In many ecosystems, smaller poisonous animals develop a bright coloration -predators learn to steer clear of these colors, lest they get a mouthful of venom.Over time, other, non-poisonous species may develop the same coloration, cashingin on the nasty reputation of the poisonous species. This adaptation is known by which name? Give reason tooA) Tom-fooleryB) CharadesC) PantomimeD) Mimicry Find the antiderivative of f (x) = 10x4 + 12.5. A gym is selling monthly memberships for $35 each and reusable water bottles for $9 each. The gymneeds to make $1188 by the end of the month.Enter a linear equation that describes the problem.An equation for the amount of money made by the gym is = $1188, where m is the number ofmonthly memberships sold, and w is the number of reusable water bottles sold. !!Please Helppppppp ASAP!! ):Which is the constant of proportionality for the relationship shown in the table?x y4 27 410 613 8A. 32B. 23C. 3D. 2 How many countries were their before WW1 started? 1. Explain five historical precedents that caused the colonists to want tosever ties with Great Britain