Emmy used one-centimeter cubes to build a larger cube. The edges of Emmy's cube are 3 centimeters long. Tim has a cube-shaped box with edges that are 3 times as long as the edges of Emmy's cube. How much larger in volume is Tim's box than Emmy's cube?

Answers

Answer 1

Answer:

Tim's box volume is 27 times greater than Emmy's.

Step-by-step explanation:

The volume of a cube is given by the following expression:

volume = l³

Since Emmy's cube have a 3 centimeters long edge, then it's volume is:

volume1 = 3³ = 27 cm³

On the other hand Tim's cube has an edge that is 3 times as long as Emmy's, so it's 9 centimeters long. Therefore it's volume is:

volume2 = 9³ = 729 cm³

The relation between the volume is given by:

ratio = volume2/volume1 = 729/27 = 27

Tim's box volume is 27 times greater than Emmy's.


Related Questions

when a transversal cuts a pair of parallel lines, name one angle that is formed​

Answers

Answer:

Angle pairs formed by parallel lines cut by a transversal When two parallel lines are given in a figure, there are two main areas: the interior and the exterior. When two parallel lines are cut by a third line, the third line is called the transversal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°.

2/25 × 5 fraction in simplest form​

Answers

Answer:

2/5

Step-by-step explanation:

2/25 * 5

2*5=10

25*1=25

10/25=2/5

The simplest form of the fraction is, 2/5

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ 2/25 × 5

Now, Simplify as;

⇒ 2 × 5 / 25

⇒ 2 × 1 / 5

⇒ 2 / 5

Learn more about the fraction visit:

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I need help in this question I’ve been stuck on it for so long :)

Answers

Answer:

Linear

Step-by-step explanation:

We see that in the left column, the integers increase by one at a time and that in the right column, the integers decrease by two at a time. Therefore, the rate of the increasing and decreasing of numbers is the same throughout the table so this line is linear.

Also, you could use desmos, a graphing calculator which is free on your computer to plot these points and to see that the line is linear.

which choice represents the expression below as a single exponential expression?
6.5^8 • 6.5^4
a.6.15^12 • 6.5^13
b. 6.5^32
c. 6.5^12
d. 6.5^4

Answers

I think it’s B if not C

A car travels 42 miles for every 2 gallons of gasoline. What is the unit rate?

Answers

Answer:

21 miles per 1 gallon

Step-by-step explanation:

The unit rate is how many to 1 so, 42 divided by 2 equals 21 so, the answer is given.

PLZ MARK BRAINLIEST!!!

Answer:

21 mpg

Step-by-step explanation:

The unit rate is:

  42 miles

------------------- = 21 mpg

 2 gallons

Find the volume of a right circular cone that has a height of 4.5 ft and a base with a

diameter of 14.2 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

The volume of the cone is:

237.6 cubic feet.

Step-by-step explanation:

The volume of a cone is:

Volume of a cone = (1/3) PI * r^2 * h

Where:

r = radius.

h = height.

Since the exercise provides the diameter but not the radius, you simply have to divide the diameter in two:

Radius = diameter / 2 Radius = 14.2 ft / 2 Radius = 7.1 ft / 2

Now we proceed to replace in the formula:

Cone volume = (1/3) PI * (7.1 ft)^2 * 4.5 ft Cone volume = 237.5515285 ft^3 Cone volume = 237.6 ft^3

how to get a perimeter of 200

Answers

Answer:

You could have a square with side of 50 ft.

Step-by-step explanation:

Pls help !!!! I will mark as Brainiest

Answers

Answer:

13 pounds

Step-by-step explanation:

205-192=13

Answer:

Just subtract.

Step-by-step explanation:

-10x – 1= -51
Solve 2-step equation

Answers

Answer:

5

Step-by-step explanation:

-10x-1=-51

Add 1 to both sides:

-10x=-50

Divide both sides by -10:

x=5

Hope this helps!

Answer:

x=5

Step-by-step explanation:

10x=-51+1

-10x=-50

x=5

(4,2) in y+mx+b form
Line 1
Line 2
Graph above

Answers

Answer:

Step-by-step explanation:

Identify the slope and y-intercept of the line.
y = 6x-5

Answers

Answer:

slope = 6

y-intercept = -5

Step-by-step explanation:

The equation is in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

Let's find the slope:

The slope is the number being multiplied by x.

y = mx + b

y = 6x - 5

Therefore, the slope is 6.

Let's find the y-intercept:

The y-intercept is the last number in the equation.

y = mx + b

y = 6x -5

Therefore, the y-intercept is -5.

in a secondary school there are 40 classes all together. 8 of the classes are year 7 classes. what fractions of the classes in school are year 7?
give your answer in the simplest form

Answers

It’s 7/40 I hope this helps

Answer:

1/5 is the answer, I searched it up.

i need help please answer with explantation

Answers

Answer:

what is it about i mite help

Step-by-step explanation:

okay!

Why do tangent function have vertical asymptotes at the same places a cosine function crosses the x axis

Answers

Answer:

The asymptotes for the graph of the tangent function are vertical lines that occur regularly, each of them π, or 180 degrees, apart. They separate each piece of the tangent curve, or each complete cycle from the next. is because those points are where the cosine function is equal to 0

Step-by-step explanation:

1. If x is the supplementary angle of 155°,
find the value of tan x.
A. 0.0423 B. 0.0466 C.0.4226
D. 0.4663 - E. 0.9063​

Answers

Answer:

0.466 degree is the. answer

How many meters are 60 km equal to?

A. 60,000 m

B. 600 m

C. 6,000 m

D. 6 m

Answers

Answer:

1km = 1000m

=> 60km = 60 x 1000 = 60000m

=> Option A is correct.

Hope this helps!

:)

A is right because in ten there are 100m

Last night, the two dinner specials at Ava's favorite restaurant were salmon filet and steak. The restaurant served 64 specials in all, 75% of which were salmon filets. How many salmon filets did the restaurant serve?

Answers

Answer:

48

Step-by-step explanation:

64 times 0.75 is 48

Big brain mathematics

Answers

Answer:

y - 6= -5/4(x+4)

Step-by-step explanation:

The point slope form of the equation of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -6 = -5/4(x - -4)

y - 6= -5/4(x+4)

Solve the system of equations below by graphing them with a pencil and
paper. Enter your answer as an ordered pair.
y = -x-5
y = x + 1

Answers

Answer:

(-3,-2)

Step-by-step explanation:

help please
Find the circumference of the object.

Answers

Answer:

18.84

Step-by-step explanation:

We have to use the circumference formula: pi x r x 2. The diameter is 6, so the radius is 3. 3.14 is pi in this scenario. 3.14 x 3 x 2 = 18.84

Answer: 18.85 cm

Step-by-step explanation:

C = 2 x 3.14 x r


What is the measure of the missing angle?​

Answers

Answer:

115

Step-by-step explanation:

TRUE or FALSE

If an angle has a measure of 1 radian, then the arc intercepted by that angle has an arc length equal to the radius of the circle.

Answers

Answer: True

Step-by-step explanation: the angle subtends, s, divided by the radius of the circle, r. One radian is the central angle that subtends an arc length of one radius (s = r). Since all circles are similar, one radian is the same value for all circles.

The given statement is correct. If an angle has a measure of one radian, the arc intercepted by that angle has an arc length equal to the radius of the circle.

What is meant by radian and radius?Simply put, a Radian is a unit of measurement for angles that is based on the radius of a circle. This means that if we imagine wrapping the length of the radius around a circle, the angle formed at the center of the circle by this arc is equal to 1 Radian. Radians, like degrees, are a type of angle measurement. One radian is equal to the angle formed when the radius of the circle is equal to the arc opposite the angle. So, in the diagram above, the angle is one radian because the arc AB is the same length as the radius of the circle.

Therefore,

Because the Latin word for length is spatium, arc lengths are denoted by s.

Length of an Arc = θ × r,

Where θ exists in radian.

Length of an Arc = θ × (π/180) × r,

Where θ exists in degree

To learn more about Arc length, refer to:

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Which statement is true?

Only some squares are rhombuses. Rhombuses have 4 right angles. Therefore, only some squares have 4 right angles.

All squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.

All squares are rhombuses. Rhombuses have 4 right angles. Therefore, all squares have 4 right angles.

Only some squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.

Answers

Answer: All squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.

The answer is the explanation.  That's the second choice.

Answer:

C

Step-by-step explanation:

A house painter used the equation y = 6.2x to determine the number of gallons of paint, y, needed to paint a number of houses, x. Which table represents the equation?



Answers

Answer:

(2,12.4)  , (5,31),  (8,49.6)

Step-by-step explanation:

To Solve this problem, let substitute value  of x from given table into equation y = 6.2x and determine value of y .

For x = 2

y = 6.2x

=> y = 6.2*2 = 12.4

__________________________________________

For x = 5

y = 6.2*5

=> y = 31

__________________________________________

For x = 8

y = 6.2*8

=> y = 49.6

__________________________________________

Thus, second table represent the equation.

(2,12.4)  , (5,31),  (8,49.6)

Answer:

(2,12.4)   (5,31)  (8,49.6)

Step-by-step explanation:

Mark simplified 3/5 + 5/8 his work is shown below. Identify where he made his error.

Step 1: 3/5 * 8/5

Step 2: 3 * 8 / 5 * 5

Step 3: 24/5

Step 4: 4 4/5

Answers

Answer:

Step 1

Step-by-step explanation:

Mark simplified 3/5 + 5/8 using the steps below:

Step 1: 3/5 * 8/5

Step 2: 3 * 8 / 5 * 5

Step 3: 24/5

Step 4: 4 4/5

Mark's error is in Step 1 where he changed the addition sign to multiplication sign.

The correct solution is:

[tex]Step 1: \dfrac{3}{5}+ \dfrac{5}{8}\\Step 2: \dfrac{24+25}{40}\\Step 3: \dfrac{49}{40}\\Step 4: 1\dfrac{9}{40}[/tex]

Solve the equation -10X +1 + 7X = 37

Answers

Answer:

X = -12

Step-by-step explanation:

-10X + 1 +7X = 37

-10X + 7X + 1 = 37  {Add the like terms}

-3X + 1 = 37  {Subtract 1 form both sides}

-3X + 1 -1 = 37 -1

-3X = 36  {Divide both sides by (-3)}

[tex]\frac{-3x}{-3}=\frac{36}{-3}\\\\[/tex]

X = -12

Answer:

-12

Step-by-step explanation:

pleaseeee help :)))))))

Answers

Answer:

28.26

Step-by-step explanation:

3.14 * 3*3 = 3.14*9 = 31.4 - 3.14 = 28.26

(would indeed appreciate the brainliest if you appreciate the work)

Answer:

28.26

Step-by-step explanation:

A = pi r^2

Let pi = 3.14 and r = 3

A = 3.14 (3)^2

A = 3.14 *9

A =28.26

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).



Find cosθ.

Answers

Answer:

cos Θ = [tex]\frac{4}{\sqrt{41} }[/tex]

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = [tex]\sqrt{41}[/tex]

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex]

Answer: 4√41/41

Step-by-step explanation:

Determine which description of description.
trendlines would be a better fit for the data. Choose yes or no for each

❏ Yes ❏ No A line that passes through the points (10, 20) and (45, 40)

❏ Yes ❏ No A line that passes through the points (10, 15) and (45, 35)

❏ Yes ❏ No A line that passes through the points (10, 15) and (50, 15)

❏ Yes ❏ No A line that passes through the points (20, 25) and (35, 35)

Answers

Answer:

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units. A cone has a height of x and a diameter of x. Which expression represents the volume of the cone, in cubic units?

Answers

Answer:

1/12piX^3

Step-by-step explanation:

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