The total surface area of a cube is 96cm2, find its volume.

Answers

Answer 1

Answer:

[tex]\huge\boxed{V=64cm^3}[/tex]

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]SA=6a^2[/tex]

The formula of a volume of a cube:

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

We have

[tex]SA=96cm^2[/tex]

Calculate the edge length (a).

[tex]6a^2=96[/tex]           divide both sides by 6

[tex]a^2=16\to a=\sqrt{16}\\\\a=4(cm)[/tex]

Calculate the volume of a cube:

[tex]V=4^3=64(cm^3)[/tex]


Related Questions

Please help!!! 15 pts The black graph is the graph of y=f(x). Choose the equation for the red graph

Answers

Answer:

Option C is the correct answer.

Step-by-step explanation:

Let's take 1 point from each graph and make sure that they have the same "x" coordinate. We are going to notice that it does not matter what 2 points with he same "x" coordinate we are going to choose the "y" value of the the point located on the red graph will always be greater by 1. That means that if black graph has the equation (y = f(x)), the red graph is going to have and equation that looks like (y = f(x) + 1). Now we get the following......

y = f(x) + 1

y - 1 = f(x) + 1 - 1

y - 1 = f(x)

So the answer is the option c.

1/4 of the total bird population in your town is 200 birds. How many birds are there in your town?

Answers

Answer:

800 birds

Step-by-step explanation:

1/4 of the birds = 200

200 x 4 = 800

Answer:

800

Step-by-step explanation:

1/4 of 800 is 200

you can solve this by multiplying 200 by 4. to under stand this concept just multiply the population by the reciprocal

A card is drawn from a
standard, well-shuffled
deck of 52 cards.
What is the probability that
it is a face card (J, Q, or K)?

Answers

12/52
3*4 = 12
there’s 52 cards in total

8h + (-6.9d) -18 + 5d -3.4h help

Answers

Answer:

−1.9d + 4.6h − 18

Explanation:

8h − 6.9d − 18 + 5d − 3.4h

= 8h + −6.9d + −18 + 5d + −3.4h

[ Combine Like Terms ]

= 8h + −6.9d + −18 + 5d + −3.4h

= (−6.9d + 5d) + (8h + −3.4h) + (−18)

= −1.9d + 4.6h + −18

- PNW

En el parque infantil hay una zona de aprendizaje de conducción que tiene miniautos y triciclos. Si en total hay 18 vehículos y 64 llantas, ¿cuántos miniautos y cuántos triciclos hay?

Answers

Answer:

There are 6 mini cars and 12 tricycles.

Step-by-step explanation:

In the playground, there is a driving learning area that has mini cars and tricycles. If there are 18 vehicles and 64 tires in all, how many miniature cars and how many tricycles are there?

Given that there are a total of 18 vehicles in the driving learning area.

Let there are x number of the mini car,

so, the number of tricycles = 18-x

As one car has 4 tires, so the total number of car tires = 4x

As one tricycle has 3 tires, so the total number of tricycle tires = 3(18-x)

Given that the total number of tires is 60, so

4x+3(18-x) =60

4x+54-3x=60A

x=60-54=6

So, the total number of mini cars= 6

and the total number of tricycles = 18-6=12

Hence, there are 6 mini cars and 12 tricycles.


Is (3,4) a solution to the system of
equations.
X + y = 7
x - 2y = - 5

Answers

Answer: Yes, the point (3,4) is a solution to the system.

===================================================

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

work out the input for this function machine ​

Answers

Answer:

Answer is 12 isnt it

Step-by-step explanation:

12×4=48

48+9=57

What is the solution to the system below?
-4x + 5y = 27
x - 6y = -2

Answers

Answer:

(x,y)=(-8,-1)

Step-by-step explanation:

(2) rearrange

x=-2+6y

-4(-2+6y)+5y=27

8-24y+5y=27

8-19y=27

-19y=19

y=-1

x=-2+6(-1)

x=-2-6

x=-8

Hope this helps :)

Help immediately!!!!! Question: select all the intervals where g is increasing.

Answers

Answer:

It is said that g is increasing when the slope is positive.

We see a positive increase or a positive concavity at -inf to -3Thats not an answer choice so the answer is None of the above

Is 16 greater than 16.2 ?

Answers

Answer:

No :)

Step-by-step explanation:

the .2 is added to 16 so it's.2 bigger

Answer:

No.

Step-by-step explanation:

Because 16 is 16.00, while 16.2 is 16.02.

16.2 is .02 more than 16.

A. −1≤x<0
B. 1≤x≤2
C. 0 D. −1≤x≤5

Answers

Answer: C

Step-by-step explanation:

Im supposed to solve this equation using logarithms but I don't know how.

Answers

Given:

[tex]3(4^x)=5^(x+1)[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]3(4^x)=5^(x+1)[/tex]

It can be written as

[tex]3((2^2)^x)=5^(x+1)[/tex]

[tex]3((2^{2x})=5^(x+1)[/tex]      [tex][\because (a^m)^n=a^{mn}][/tex]

Taking log on both sides.

[tex]\log [3((2^{2x})]=\log 5^(x+1)[/tex]

[tex]\log 3+ \log ((2^{2x})=\log 5^(x+1)[/tex]        [tex][\because \log (ab)=\log a+\log b][/tex]

[tex]\log 3+ 2x\log 2=(x+1)\log 5[/tex]      [tex][\because \log x^n=n\log x][/tex]

Putting values of logarithms, we get

[tex]0.477+ 2x(0.301)=(x+1)0.699[/tex]      [tex][\because \log 2 =0.301, \log 3=0.477, \log 5=0.699][/tex]

[tex]0.477+ 0.602x=0.699x+0.699[/tex]

[tex]0.602x-0.699x=0.699-0.477[/tex]

[tex]-0.097x=0.222[/tex]

Divide both sides by -0.097.

[tex]x=\dfrac{0.222}{-0.097}[/tex]

[tex]x=-2.288656[/tex]

[tex]x\approx -2.289[/tex]

Therefore, the value of x is -2.289.

Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 Write an equation to determine the weight, w of each of Carl's checked bags

Answers

Answer: 2w + 4 = 35

Step-by-step explanation:

Carl's two checked bags and his one backpack together weigh 35kg.

Carl's two checked bags have equal weight so both their weight can be denoted as 2w.

Equation is;

2w + 4 = 35

If you were to solve;

2w + 4 = 35

2w = 35 - 4

w = 31/2

w = 15.5kg

Quinten ordered dinner from Domino’s. The cost was $27.45. He wants to give the driver a 15% tip. What is the total that Quinten will spend?

Answers

Quinten will spend $4.11

Answer:

The correct answer would be 4.11

Write an equation of the line that passes through (-2,3) and (0,8).

Answers

Answer: y = 5/2 x + 8

Step-by-step explanation:

Find m using two points (-2,3) and (0,8) = 8-(3) / 0- (-2) = 5/2

y = 5/2 x + b

8 = 5/2 (0) + b

8 = b

y = 5/2 x + 8

The distance AB rounded to the nearest tenth = [ ? ]

Answers

Answer:

4.5 units

Step-by-step explanation:

To get the distance we need the coordinates of the points

A is ( 3,1)

B is (-1,-1)

Let A be (x1,y1) and B be (x2,y2)

So applying the formula, we have the distance as;

D = √(-1-3)^2 + (-1-1)^2

D = √(16 + 4)

D = √20

D = 4.5 units

5. Which term best describes the outcome of flipping a coin as either heads or tails?

Answers

Answer:

It is a fifty v fifty chance so it can be either depends on the height you throw or which side you throw it at

Step-by-step explanation:

Which equation matches the graph of the greatest integer function given
below?

Answers

Answer:

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

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation

First, pick any 2 corresponding coordinates

[tex](x_1,y_1) = (0,2)[/tex]

[tex](x_2,y_2) = (6,8)[/tex]

Next, calculate the slope (m)

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

[tex]m = \frac{8-2}{6-0}[/tex]

[tex]m = \frac{6}{6}[/tex]

[tex]m =1[/tex]

The equation is calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,2)[/tex] and [tex]m =1[/tex]

[tex]y - 2 = 1(x - 0)[/tex]

[tex]y - 2 = (x - 0)[/tex]

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

Make y the subject

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

I bought a used,beat up car for $2000.i rebuilt it.
I sold the car for 75% more the what I bought it for. What was my profit

Please help me I need this answer by the end of the day.

Answers

Answer:

The answer is 3500

Step-by-step explanation:

All you have to do is get 175% of 2000. This is 3,500.

Please help me with question 5

Answers

Answer:

Third choice, 3/20

Step-by-step explanation:

Add all the numbers on the right side of the chart together:

16 + 12 + 22 + 15 + 26 + 9 = 100

So they're rolled the dice 100 times, and of that, they got a 4 fifteen times. So it's 15/100, simplify that equation and it's 3/20

Simplifying an equation means making an equation have smaller numbers if possible. For this question 15 and 100 can both be divided by 5, it is also the biggest number they can both be divided by, so u divide both by 5 and it's 3 and 20, making it 3/20

If 945 kg of wheat is packed in 9 bags how much in each bag

Answers

Answer:

105 kg per bag

Step-by-step explanation:

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

Which equation represents the line that passes through points B and C on the graph

Answers

Y= -2x - 6
Is the equation that represents the line that passes through points b and c on the graph.

DOES ANYONE KNOW THIS??

Answers

Answer:

49-9i²

Step-by-step explanation:

(7+3i)(7-3i)

expand the brackets

49-21i +21i -9i²

49-9i²

PLEASE ANSWER!!

20. Carpenters use the term pitch to describe the slope of a
roof. For example, a roof with a pitch of 1/4
means the
roof has 1 foot of vertical rise for every 4 feet of
horizontal distance. The figure below shows a 13-foot-
long roof with 5 feet of vertical rise and x feet of
horizontal distance. What is the pitch of this roof?
F. 1/6
G. 58
H. 5/12
J. 5/14
K. 5/18

Answers

Answer:

5/12

Step-by-step explanation:

The pitch of the roof is 5/12.

Option H is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

We know that the pitch of a roof is defined as the ratio of the vertical rise to the horizontal distance, and is typically expressed as a fraction.

In this case, we are given that the roof is 13 feet long, with 5 feet of vertical rise and x feet of horizontal distance.

Therefore,

The pitch of the roof.

Pitch = vertical rise / horizontal distance

Pitch = 5 / x

We don't know the value of x, but we can use the fact that the roof is 13 feet long to solve it.

Since the horizontal distance and vertical rise form the legs of a right triangle, we can use the Pythagorean theorem to find the value of x.

x² + 5² = 13²

x² + 25 = 169

x² = 144

x = 12

Now,

Pitch = 5 / x

         = 5 / 12

Therefore,

The pitch of the roof is 5/12.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

72 = 5x + 22 X = can some one answer this plz

Answers

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

72 = 5x + 22

Step 2: Solve for x

Subtract 22 on both sides:                   50 = 5xDivide 5 on both sides:                         10 = xRewrite:                                                  x = 10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    72 = 5(10) + 22Multiply:                               72 = 50 + 22Add:                                     72 = 72

Here we see that 72 does indeed equal 72.

∴ x = 10 is the solution to the equation.

The city plans to extend the Wildflower Tral to make it 2 ½ times its current length in the next 5 years. How long will the Wildflower Trail be at the end of 5 years?

Answers

Answer: 5¹⁵/₁₆

Step-by-step explanation:

The Wildflower Trail is currently 2³/₈ miles long.

If the city will extend it by 2¹/₂ in 5 years, the length in five years will be;

= 2³/₈ * 2¹/₂

= 19/8 * 5/2

= 95/16

= 5¹⁵/₁₆

What is the slope of the line?
slope-2
slope 1
slope1

Answers

Answer:

-1

Step-by-step explanation:

Answer:

Slope = difference in y / difference in x

slope = 0 - 2 / 2 -0

slope = -2 / 2

slope -1

Step-by-step explanation:

PLEASE ANSWER

Type SSs, SAS, ASA, SAA, or HL


to justify why the two larger triangles are
congruent.

Answers

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

thank you

Answer: The answer is ASA

I hope this helps!

I dont understand this can someone plz explain.
the answer is A but how is it A?

Answers

Answer:

Step-by-step explanation:

here is what I think logically is going on.. and does this happen to be some kind of computer sciency class question?  b/c this seems like a primer for Boolean logic.. ask your teacher that question  :D  .. see if he knows :P anyway.. soooo  by subtracting 4 reds.....

R R B B B  our starting chips ( the letters represents the the chips below)

OOOOO    subtracting one red changes the next black to a red.. I think

R R R B B   (-1)

OOOOO subtract one more red changes the next black to a red

R R R R B   (-2)

OOOOO  subtract one more red

R R R R R  (-3)

OOOOO subtract one more and they all fip ..

B B B B B (-4)

OOOOO

This is a bit like a binary counter.. :/ why are you learning this :D

Denis is looking to buy a new car. He can take a loan out for $12,000 with an interest rate of 4% for 5 years. How much would his loan cost in total, including interest?

Answers

$24,000

Explanation : 12,000 x 4% = 480
480 x 5 = $2,400
$24,000 is the answer
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