Choose the statements that are true about a cube with side length 1 unit. It can be used to measure volume. It has a volume of 6 cubic units. It is called a "one block." It has a volume of 1 cubic unit. It is called a "unit cube." It has a volume of 3 cubic units.

Answers

Answer 1

Answer:

1 3 and 6

Step-by-step explanation:

Answer 2

The volume of the cube with side length a = 1 unit is given by V = 1 unit³ and it is a unit cube

What is the Volume of a Cube?

The formula of volume of the cube is given by:

Volume of Cube = a x a x a

Volume of Cube = a³

where a is the length of its sides or edges

Given data ,

Let the volume of the cube be represented as V

Now , the value of V is

Let the side length of the cube be a

where the value of a = 1 unit

And , Volume of Cube = a³

On simplifying , we get

The volume of the cube = ( 1 unit )³

The volume of the cube V = 1 unit³

Hence , the volume of the unit cube is 1 cubic unit

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Related Questions

The ratio on a keyboard of number keys to letter keys is 5:13. If a manufacturer produced 156 letter keys , then how many number keys would need to be produced?

Answers

Answer:

60 number keys would need to be produced

Step-by-step explanation:

5 : 13

? : 156

156 / 13 = 12

5 x 12 = 60

Landon owns 16 baseball cards, which is 4 times as many as Phillip owns.
The equation 4p=16 represents this situation where p is the number of baseball cards Phillip owns.
Which number line represents the solution to the equation?

Answers

Answer:

B

Step-by-step explanation:

i'm probably wrong but based on the information they give you the most likely answer has to be B. ok- well if you think abt it landon has 16 cards and that's 4 times as many as phillip has. so, phillip's cards could range anywhere between 4 and 16-

sorry if i'm incorrect :/ hope you get a good score or whatever tho

What is this supplementary angle?

Answers

Answer:

Step-by-step explanation:

Supplementary angles sum to 180 degrees.

x+118=180

x=62 degrees

Answer:

62°

Step-by-step explanation:

A supplementary angle is 180°.

180-118= 62

if a sweatshirt is $20 and the discount is 30% how much is the sweatshirt

Answers

Answer:

$14.00

Step-by-step explanation:

First take $20 and divide by 100. Then you multiply by 30 to get the reference which was $6. If the sweatshirt was $20 and the reference was $6, you would subtract $20 - $6 and get $14.

Answer: $14.00

Step-by-step explanation: First take $20 and divide by 100. Then you multiply by 30 to get the reference which was $6. If the sweatshirt was $20 and the reference was $6, you would subtract $20 - $6 and get $14.

Khawla works mowing lawns and babysitting. She earns an hour for mowing and an hour for babysitting. How much will she earn for hours of mowing and hours of babysitting?

Answers

m = 37.5

b = 43.8

mowing = m

babysitting = b

in all 81.3

Find the missing side:

Answers

66.13!
Hope this helps

[ASPS]WILL GIVE BRAINLIEST

Answers

Answer:

hi

Step-by-step explanation:

you should know that the sum of interior angles of a hexagon is 720 so

[tex]4x - 10 + 2x + 8 + x - 12 + 7x + 3x + 135 = 720 \\ 17x = 121 \\ x = \frac{121}{17} = 7.11764[/tex]

3. Which name does not apply to the angle pair?
A. vertical
C. supplementary
B. adjacent
D. right angles
12

Answers

C.supplementary is the right one

Answer:

D. right angle

Step-by-step explanation:

I think D is because

right angle is a an angle of exactly 90°

*adjacent angle is two angles with a common vertex, sharing a common side and no overlap

*supplementary angle is two angle, the sum of who's measure is 180

* vertical angle is two angle who's sides form two pairs of opposite rays (straight line)

8) help pls I have the answer I just need to show the work

Which trigonometric function would you use to find “h”, the height of the tree?

Answer: C

Answers

Answer:

C

Step-by-step explanation:

Sine: Opposite / Hypotenuse

Cosine: Adjacent / Hypotenuse

Tangent: Opposite / Adjacent

75 = The adjacent of 40

H = The opposite of 40

Tan40 = 75 / h

H = 75Tan40

H ≈ 62.93

The trigonometric function which will be used to determine the height of the tree when the base is 75 ft. is tan(40)

What is trigonometric function?

The trigonometric function are the ratio of the sides of the right angled triangle. The functions are sine, cos, tan , cot, cosecant, secant.

How to find the height of the tree?

We can easily see that the base is 75 ft. and the height of the tree is h So the height of the tree can be found with the help of tangent function.

tan(40)=h/75

0.84=h/75

h=63 ft.

Hence the height of the tree is 63 ft.

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pls :,) i’m begging u

Answers

Answer would be C. (-2,0) (0,3)
Y= -2/3 - 3
Mark the first guy Brainliest he got it right

The height, h, of a plant (in inches) w weeks since it was planted is represented by the equations h=3w+3. How many weeks will it takes the plant to reach one foot.

Answers

Answer: 3 weeks

Step-by-step explanation:

We have to note firstly that 12 inches = 1 foot.

The equation given to represent the height in the question, h = 3w + 3.

The number of weeks that it will take the plant to reach one foot will then be:

h = 3w + 3

12 = 3w + 3

3w = 12 - 3

3w = 9

w = 9/3

w = 3

It'll take 3 weeks

I need help with this can anyone please help

Answers

Answer:

56

Step-by-step explanation:

4*7*2 is 56

Hope that helps and please tell me if I am wrong

Can someone help me with this

Answers

Answer:

B

Step-by-step explanation:

i think its B because the your line is in the negatives and to be specific in -5

and the line that is going to the right that means it is going to the positive so its positive infinet

Hope it's correct

Answer:

hi

Step-by-step explanation:

i think its B

you should inverse the function from x=y line

i cant explain in enlish better than this

hope this helps

if have more questions just ask

A circular pool has a diameter of 25 feet. A 2-foot-wide sidewalk borders the entire pool. What is the approximate circumference of the outside edge of the sidewalk?

Answers

Answer:

84.834 in

Step-by-step explanation:

Given data

Diameter of pool= 25 ft

Width of side walk= 2ft

Hence the diameter of the pool and the sidewalk combined= 25+2= 27ft

The radius of the pool and the sidewalk combined= 27/2= 13.5ft

Circumference= 2πr

Circumference= 2*3.142*13.5

Circumference= 84.834 in

Hence the circumference is 84.834 in

Will mark brainliest

Answers

11) reflection
12) rotation
13) transition
14) yes 180 rotation

Hope it’s right
Best luck with your studying

1
Brianna mixed 3 1/8 cups of dry ingredients with 1 2/5 cups of liquid ingredients. Estimate the
amount of ingredients Brianna used.
What would you round 3 1/8 to?*
(0.5 Points)

Answers

Answer:

You would round 3 1/8 to 3. The estimation for the ingredients would be: 3 cups of dry ingredients and 1 cup of liquid ingredients

Step-by-step explanation:

I hope this helps! if I got it wrong let me know

Help pls dont answer if you don’t know also I’ll give brainliest

Answers

Well, what are the like terms?

5x and 3x

-17 and 21

so combine them and what do you get?

I don't what to just give you the answer I want to also help you.

How can you use a line graph to display and analyze real- world data?

Answers

Answer:

its to show data like rainfall how many people does the teacher get per year

Step-by-step explanation:

John bought a crate of floor tiles $100. The crate had 5 boxes pf floor tiles. Each box contained 40 floor tiles. Write an
equation to determine the cost per tile, t.

Answers

Answer:

i feel like were in the same school because we have the same answers, but check my recent question since people answered mine

Step-by-step explanation:

The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. About ____ of the trees have ages between 10 years and 70 years.

Answers

Answer:

Not 95%

Step-by-step explanation:

The normal distribution is also known as the Gaussian distribution. About 99.7% of the trees have ages between 10 years and 70 years.

What is Normal Distribution?

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Given that the age of the tree is normally distributed. Also, the following details are known,

Standard Deviation, σ = 10 years

Mean, μ = 40

Now, the z-score and the p-values for the value of 70 and 10 can be written as,

Z = (X-μ)/σ

Z = (70 - 40)/10

Z = 3

The p-value for z-score of 3 is 0.9987.

Z = (X-μ)/σ

Z = (10 - 40)/10

Z = -3

The p-value for z-score of -3 is 0.0013.

Further, the percentage of the trees have ages between 10 years and 70 years is,

Percentage = 0.9987 - 0.0013

                   = 0.9974

                   = 99.7%

Hence, About 99.7% of the trees have ages between 10 years and 70 years.

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Round 1 of a tennis tournament starts with 64 players. After each round, half of the players have lost and are eliminated from the tournament. Therefore, in round 2 there are 32 and in round 3 there are 16 players and so on. Can this relationship be modeled by a linear function? Provide evidence to support your claim.

Answers

Answer:

It can not be modeled by a linear function

Step-by-step explanation:

The given parameters can be represented as:

[tex](x_1,y_1) = (1,64)[/tex]

[tex](x_2,y_2) = (2,32)[/tex]

[tex](x_3,y_3) = (3,16)[/tex]

Where: x = rounds and y = players

Required:

Determine if it can be represented by a linear function

To do this, we simply calculate the slope (m)

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

and

[tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex]

Using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex], we have:

[tex]m = \frac{32 - 64}{2 - 1}[/tex]

[tex]m = \frac{-32}{ 1}[/tex]

[tex]m = -32[/tex]

Using [tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex], we have:

[tex]m = \frac{16 - 32}{3 - 2}[/tex]

[tex]m = \frac{-16}{1}[/tex]

[tex]m = -16[/tex]

Since both slopes are not the same, the relationship be modeled by a linear function

David bought a used car for $6,000 and later sold it for $4,000. What was the approximate percent decrease in the price of the car?

Answers

Answer:

percentage change= price change divided by original price x 100

Step-by-step explanation:

so answer = $2000 divided by $6000 x 100 = 33.3% decrease

Answer:

33 percent

Step-by-step explanation:

.......................

How do I factor this using foil (factoring trinomials)

Answers

Hello there,

To factorise such type of trinomial :-

First multiply first and third term of that trinomial.Then Factorise the Product of those two terms.After doing that You have to Just arrange the Factors of the product in such a way that you get the middle term.

??????????help pls?????

Answers

Answer: 0.5

Step-by-step explanation:

Given

Line passes through [tex](-10,-30), (0,-25), (10,-20), \text{and}\ (20,-15)[/tex]

The slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Taking any two points: (0, -25) and (20,-15)

Slope is

[tex]\Rightarrow m=\dfrac{-15-(-25)}{20-0}=\dfrac{10}{20}\\\\\Rightarrow m=0.5[/tex]

Ms. Rivera runs a house cleaning business. To save money, she bought a 1-gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1-pint spray bottles as she could. How many spray bottles did she fill?

Answers

Answer:

88 bottles

Step-by-step explanation:

Given

[tex]Cleaner =1\ gallon[/tex]

[tex]Water =10\ gallon[/tex]

Required

Determine the number of 1-pint spray bottles used

First, we get the total gallons of the cleaner and water.

[tex]Total = Cleaner + Water[/tex]

[tex]Total = 1\ gallon + 10\ gallon[/tex]

[tex]Total = 11\ gallon[/tex]

Convert to pints:

[tex]Total = 11 * 8\ pints[/tex]

[tex]Total = 88\ pints[/tex]

To get the number of spray bottles, we divide 88 pints by the size of the pint bottle.

[tex]Number = \frac{88\ pints}{1\ pint}[/tex]

[tex]Number = \frac{88}{1}[/tex]

[tex]Number = 88[/tex]

Two-dimensional and three-dimensional objects can be represented with
a scale drawing or __________

Answers

Answer:

three dimensional figure in which we have height breadth and length

and two dimensional figure in which two unit breadth and lenght

two dimensional has only two measurements, such as length and height and three-dimensional (3D) shape has three measurements, such as length, width, and height

What is Mensuration?

The branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc

A two-dimensional (2D) shape has only two measurements, such as length and height. A square, triangle, and circle are all examples of a 2D shape.

and three-dimensional (3D) shape has three measurements, such as length, width, and height

The example of two dimensional are triangle, circle.

The example of three dimensional are cuboid, cone , cylinder.

Hence two dimensional has only two measurements, such as length and height and three-dimensional (3D) shape has three measurements, such as length, width, and height

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Please help!!! Will give brainlist!!!

Answers

Answer:

[tex]\frac{9}{14} \ chance[/tex]

Step-by-step explanation:

1. Approach

Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, [tex]\frac{desired\ outcomes}{total\ outcomes}[/tex].

It is given that

- (63) paid with cash

- (22) paid with a debit card

- (13) paid with a credit card

First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.

2. Find the total number of customers

Add up all of the given customers, regardless of their payment type.;

[tex](cash)+(credit)+(debit)\\\\= 63 + 22 + 13\\\\= 98[/tex]

(98) total customers.

3. Find the probability

Now set up the probability, remember, the formula for finding the probability is,

[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]

The desired outcome is the number of customers who pay with cash = (63)

The total outcome is the number of customers who when to the business; (98)

Substitute in the numbers and simplify,

[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]

[tex]\frac{63}{98}[/tex]

Both of these numbers are divisible by (7), hence divide the fraction by (7)

[tex]\frac{9}{14}[/tex]

what's
[tex] \sqrt{ {25}^{2} - 15 {}^{2} } [/tex]

Answers

I’m pretty Sure that the answer would be 20 because 25 to the power of 2 would be 50 and 15 to the power of 2 is 30 and 50 - 30 =20

Answer:

20 Ans ..

Step-by-step explanation:

Given:

=25²-15²

Solution:

= √625-225

= 20 ans .....

Change 0.2 into a fraction in its lowest terms with working

Answers

Answer:

1/5

Step-by-step explanation:

0.2

=2/10

=1/5

Answer:

1/5

Step-by-step explanation:

2/10 ÷ 2/2 = 1/5 and 0.2 equals 2/10 or 1/5

Shed A and Shed B are both rectangular prisms. Shed A has a length 6½ feet, width 6½ feet, and height 8½ feet. Shed B has length and width twice as long as Shed A, but has the same height. What is the volume of Shed B?

Answers

Answer:

1436.5 ft^3

Step-by-step explanation:

Shed B

L = 2* 6.5 = 13

W = 2*6.5 = 13

H = 8.5

Formula

Volume = L*w*h

Solution

Volume = 13 * 13 * 8.5

Volume = 1436.5

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