The side length of the cube is 5 cm. Find the volume of the cube.

Answers

Answer 1

Answer:

125 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cube Formula: V = a³

a is a side length

Step-by-step explanation:

Step 1: Define

Identify variables

a = 5 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]:                                    V = (5 cm)³Evaluate exponents:                                                                                         V = 125 cm³
Answer 2

Answer:

[tex]\huge\boxed{V=125cm^3}[/tex]

Step-by-step explanation:

The formula of a volume of a cube with edge [tex]a[/tex]:

[tex]V=a^3[/tex]

We have [tex]a=5cm[/tex].

Therefore the volume is:

[tex]V=(5cm)^3=5cm\cdot5cm\cdot5cm=125cm^3[/tex]


Related Questions

The measure of an inscribed angle is x, and the measure of its intercepted arc
is y. Which equation describes the relationship between x and y?

Answers

Answer:

C. [tex]y = 2\cdot x[/tex]

Step-by-step explanation:

The measure of the inscribed angle ([tex]x[/tex]), in angular units, is directly proportional to the measure of the intercepted arc ([tex]y[/tex]), in length units:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio, in length units per angular unit.

Hence, correct answer is [tex]y = 2\cdot x[/tex]. (Correct answer: C)

help asap please ------------------

Answers

Answer:

Correct answer 1

Step-by-step explanation:

Please help ASAP and if u can show work

Answers

Angle 1=x

Angle 2=y

x+y=180(linear pair)

y=180-x___(1)

(3/2)x=y

(one angle is 1and half the measure of the other)

3x=2y

substitude (1)

3x=2(180-x)

3x=(360-2x)

5x=360

x=72degree

y=180-x

y=108degree

Brainliest please~

Find y

Help me please

Answers

Answer:

y = 46

Step-by-step explanation:

Y=46 that’s the answer

pls help beestar is not fun

Answers

9/ 4 times
10/ A

2 height * 2 length/ height * length = 4

Evaluate each of the following. help plz

Answers

Answer:

5!= 120

13!= 6227020800

12!/6!= 665280

10!/7! 3!= 120

5(4!)= 120

Step-by-step explanation:

Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?


Multiplication


Subtraction


Addition


Division

Answers

Answer:

The correct option is (d).

Step-by-step explanation:

Given that,

Jeff earns $14.00 per hour.

Tom earns half as much as Jeff.

We need to find the amount earn by Tom per hour.

Tom's amount = Jeff's amount/2

So,

[tex]T=\dfrac{14}{2}\\\\T=\$7[/tex]

So, Tom earn $7 per hour. Hence, division operation is used. Jeff's amount is divided by 2.

Can someone help me please this is my last one ​

Answers

Answer:

Domain and range: [0, ∞)

Step-by-step explanation:

There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0

The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)

determine which two values the following expression is between.

Answers

Answer:

Between 12.8 and 12.9

Step-by-step explanation:

Firstly, we would need to get the value of the surd

So we have this as;

2 √41 = 12.81

Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer

help pls and explain!!
Each molecule of aluminum oxide (Al2,03) is
composed of 2 aluminum atoms and 3 oxygen atoms.
How many more oxygen atoms than aluminum
atoms are present in 100 molecules of aluminum
oxide?

Answers

Answer:

100

Step-by-step explanation:

[tex](100 \times 3) - (100 \times 2) = 100 [/tex]

Helen drives 195miles in 3 hours
what is her average speed in mph

Answers

Answer:

65 mph is the correct answer

Answer:

s=d/t

=195/3

=65 mph

general solution
4sin^x+9 cosx-6=0​

Answers

Answer:

if this is helpful to you...

plz do follow

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

Answers

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

Can someone help me with this math homework please!

Answers

Answer:

1: the number of years since 2008 2. t is greater than or equal to 0 3. negative values 4. continuous

Step-by-step explanation:

1. t usually represents time

2. t must be greater than 0 as you can not go backward in time

3. the range must be positive as you can not have negative bobcats

4. its continuous because its a quadratic equation

1. no. of bobcats since 2008

2. greater than equal to 0

3 negative values

4. discrete because no. of bobcats cannot be broken into fraction.

What is the value of x in the equation 0.7x – 1.4 = –3.5?

1. -7
2. -3
3. 7
4. 3

Answers

Answer:

the answer is -3

Step-by-step explanation:

0.7x - 1.4 = -3.5

add 1.4 to both sides of the equation

you're left with 0.7x = -2.1

then divide both sides by 0.7

you're left with your answer of -3

Iliana rotated trapezoid WXYZ 180° about the origin.

On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).

What is the correct set of image points for trapezoid W’X’Y’Z’?

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)

Answers

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

Step-by-step explanation:

The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)

The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)

Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;

W(-4, 2) rotated 180° about the origin gives W'(4, -2)

X(-3, 4) rotated 180° about the origin gives X'(3, -4)

Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)

Z(0, 2) rotated 180° about the origin gives Z'(0, -2)

Therefore, we get;

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).

Answer:

Its A

Step-by-step explanation:

i just took the test.

Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha

Answers

Answer:

93.2°

Step-by-step explanation:

[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex]  ... c =48.8

a =180-(38+48.8) = 93.2

Use Lagrange multiplier method to find the maximum and minimum values of (, , ) = − 2 + 5 On the sphere 2 + 2 + 2 = 30

Answers

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

Calculation with Lagrange multipliers of its optimum restricted places,

[tex]f_x = 2\ \ \ \ \ \ \ \ \ \ \ \ \ g_x = 2x\\\\f_y = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ g_y = 2y\\\\[/tex]

Set the multiplier formulas for Lagrange:

[tex]f_x = \lambda g_x \to 2 = \lambda 2x ............ (i)\\\\f-y = \lambda g_y \to 1 = \lambda 2y................ (ii)\\\\constraint: \\\\\to x^2 + y^2 = 5 .................... (iii)\\\\Taking \ (i)\ divides\ (ii), \ (assuming\ \lambda \neq 0)\\\\\frac{2}{1}=\frac{\lambda 2x}{\lambda 2y}=\frac{x}{y}\\\\\therefore \\\\2y = x\\\\Sub\ into\ (iii)\ to\ find\\\\4y^2 + y^2 = 5 \to y = \pm 1\\\\[/tex]

We get solutions (x,y)=(2,1) and (−2,−1) if combined with 2y = x. These are all the identical points we obtained in (c) and we know the f(2,1) is the max, whereas f(−2, −1) is a minimum.

help plsssssssssssss i really need helpppp

1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

Answers

Answer:

y= x + 3

Step-by-step explanation:

we know that

The linear equation in slope-intercept form is equal to

y= mx + b

where

m is the slope

b is the y-intercept

step 1:

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to: y2-y1

                                                                                                               x2-x1              

substitute

M= 50-40/47-37

10/10 = 1

step 2:

Find the y-intercept

we have: m=1

point (37,40)

substitute in the linear equation: 40= (1) (37) + b

solve for b: 3

therefore

The linear equation is: y = x + 3

find the greatest number such that x360y is divisible by 24

Answers

Answer:

93600

Step-by-step explanation:

The divisibility rule of 24 is that the number has to be divisible by both 3 and 8. So we need to plug in numbers for x and y to find the greatest number. 93600 should be the answer.

find the percent of soccer and cross country kids in the fall

Answers

What’s your question ?

At a school picnic, your teacher asks you to mark a field every 10 yards so students can play football. The teacher accidentally gave you a meter stick instead of a yard stick. How far apart in meters should you mark the lines if you still want them?

Answers

Answer:

9.144 meters

.

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

The conversion factor of meters to yards is 1 yard = 0.9144 meters

So set up a proportion

1 yard/0.9144 meters = 10 yards / x    Cross multiply

x = 0.9144 * 10

x = 9.144 meters.

Given that u=4,t=5,a=10and s=it+1\2at

Answers

21/100
or 0.21

is the answer

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with
mass 7 kg, the acceleration of the object is 4 m/s?. If the same force acts upon another object whose mass is 2 kg, what is this object's acceleration?

Answers

Answer:

14 m/s²

Step-by-step explanation:

From the question

a ∝ F/m.............. Equation 1

Where a = aceleration, m = mass, F = force

make F the subject of the equation

F = ma............ equation 2

Given: m = 7 kg, a = 4 m/s²

Therefore,

F = 7(4)

F = 28 N

For another object whose mass is 2 kg,

Make a the subject of equation 2

a = F/m

a = 28/2

a = 14 m/s²

what is the slope of the line shown below? (enter your answer as a decimal if necessary.)

Answers

Answer: The slope is 2 -Please mark brainliest

1. Find the X and Y values of each point

X1: 1

X2: -1

Y1: 3

Y2: -1

2. Subtract X1 from X2 and Y1 from Y2

Y: -1-3=-4

X: -1-1=-2

3. Divide the X value by the Y value

-4/-2=2

The slope of the line shown on the coordinate plane is 2.

Answer:

2

Step-by-step explanation:

(X1,Y1)=(1,3)

(X2,y2)=(-1,-1)

slope(m)=y2-y1/x2-x1

= -1-3/-1-1

= -4/-2

= 2

We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .

Answers

Answer:

By the Substitution property, the measure of angle ABC is equal to GHI.

Step-by-step explanation:

According to the Question,

Since we have,

Angle ABC and angle DEF are congruent ⇒ ∠ABC = ∠DEF-------(1 )  Similarly,angle GHI and angle DEF are congruent ⇒ ∠GHI = ∠DEF------(2)

On substituting the value of from equation (1) to equation (2)

We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI

Thus, By the Substitution property  

The measure of angle ABC is equal to angle GHI.

simplify (-81)÷9 pls ans ​

Answers

Answer:

[tex] \frac{ - 81}{9} [/tex]

[tex] - 9[/tex]

OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is the scale factor of enlargement.​

Answers

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

[tex]The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}[/tex]

[tex]\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2[/tex]

[tex]\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2[/tex]

[tex]\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2[/tex]

Therefore, the scale factor = 2

4x - 10 + 5x = 71 solve the equation and enter the value of x below ​

Answers

Add ten to both sides
Then combine the like terms
9x=81
X= 9

Answer:

x = 9

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:

4x - 10 + 5x = 71

(4x + 5x) - 10 = 71

9x - 10 = 71

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 10 to both sides of the equation:

9x - 10 (+10) = 71 (+10)

9x = 71 + 10

9x = 81

Next, isolate the variable x by dividing 9 from both sides of the equation:

(9x)/9 = (81)/9

x = 81/9 = 9

x = 9 is your answer.

~

Alice bought a (k) kg of pork and (i) kg of chicken. how many kg of meat did alice buy??
Write the solutions and explanation with algebraic expression

Answers

Answer:

(k)kg+(l)kg=kg

Step-by-step explanation:

I just looked at letters. it's definitely wrong but I typed something so I could get points and get my answers. idc tbh but good luck ig

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