A cube has a total surface area of 54 square inches.
What is the volume of the cube?

Answers

Answer 1

Answer:

V = 27 in³

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]S.A.=6a^2[/tex]

a - edge

We have S.A. = 54 in². Substitute:

[tex]6a^2=54[/tex]        divide both sides by 6

[tex]a^2=9\to a=\sqrt9\\\\a=3\ in[/tex]

The formula of a volume of a cube:

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

Substitute:

[tex]V=3^3=27\ in^3[/tex]


Related Questions

At Costco, a flat-screen television with a regular price of $1,790 was reduced by $395. Assuming 800 customers purchased the television, what were the total sales to Costco? 

      A. $1,116,000  B. $1,160  C. $1,161,000  D. $116,000​

Answers

first you would do

[tex]1790 - 395[/tex]

next you would do

[tex]x \times 800[/tex]

which would then give you answer choice a

which sequence shows the numbers in order from least to greatest?​

Answers

Answer:

D

Step-by-step explanation:

|-9 5/8| = 9 5/8 = 9.625

6.28 x 10^2 = 628

62.85 = 62.85

Now order them.

9.625, 62.85, 628

So

|-9 5/8|, 62.58, 6.28 x 10^2

Answer: i think itz  D but im not 100% sure

Step-by-step explanation:

A school has an art club, a drama club, and a cooking club. The ratio of the number of students in these clubs is given.

Art club to drama club: 7 to 13
Cooking club to art club: 5 to 14
There are 130 students in the drama club. No students are in more than one club.

How many students are in the cooking club?

Answers

Answer:

25 students in the cooking club

Step-by-step explanation:

Let

x-----> the number of students in art club

y-----> the number of students in drama club

z-----> the number of students in cooking club

step 1

Substitute the value of y in equation A and solve for x

step 2

substitute the value of x in equation B and solve for z

explain the difference between an equation, like x=5, and an inequality, like x_> 5.

Answers

X=5 is a definite answer and one solution. While X greater than OR equal to 5 means that it could be 5 AND anything above 5, which gives multiple of choices for solutions. (I believe this write but it’s been awhile since I did algebra stuff)

For x = 5, the only solution to the inequality or equation is 5. while for the inequality x ≥ 5, this has several values or solutions.

Inequality expression

Given the following inequality expression

The inequality x = 5 is different from x ≥ 5 in that;

For x = 5, the only solution to the inequality or equation is 5. It shows only one solution

For the inequality x ≥ 5, this has several values or solutions. It consists of all the values of x that are greater than5.

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So I am doing this school assignment and it's due tomorrow.... PLEASE HELP MEEEE

Answers

Answer:

im pretty sure its the second one to the right

Answer:

|7| + |-2| | +|5| + |-8|=

Step-by-step explanation:

We want to find the total number of spaces traveled, it doesn't matter whether they are forward or backward.

We moved 7 spaces right then 2 spaces left then 5 spaces right then 8 spaces left.  The total spaces are just the number of spaces, not whether they were left or right so we take the absolute value

|7| + |-2|  +|5| + |-8|=

Solve x^2-4x=0 solving quadratic equations

Answers

Answer:

[tex]x= 0\\x =4[/tex]

Step-by-step explanation:

We have the expression:

[tex]x ^ 2-4x = 0[/tex]

To solve this equation we must factor:

1.- Take common factor x.

[tex]x(x-4) = 0[/tex]

2.- Evaluate the expressions to know when they are equal to 0.

[tex]x = 0[/tex] or [tex]x-4 = 0[/tex]

[tex]x = 0[/tex] or [tex]x = 4[/tex]

3.- The solutions are:

[tex]x = 0\\x = 4[/tex]

A system of equations is shown below:

2x = 5y + 4
3x − 2y = −16

What is the solution to this system of equations?

(−8, −4)
(8, 4)
(−4, −8)
(4, 8)

Answers

Answer:

(-8, -4) is the solution

Step-by-step explanation:

Determine whether or not (-8, -4) is a solution to this system.  It is a solution if we can substitute -8 for x and -4 for y in both equations and find that both equations are true:

2(-8) = 5(-4) + 4 TRUE

3(-8) - 2(-4) = -16 TRUE

So (-8, -4) is a solution to the given system.

Check out the second possible solution in the same way:

2(8) = 5(4) + 4 FALSE

Check out the third possible sol'n in the same way:

2(-4) = 5(4) + 4  FALSE

Check out the fourth in the same way:

2(4) = 5(8) + 4   FALSE

So we conclude that (-8, -4) is the sole solution to the given system.

Answer:

(-8, -4)

Step-by-step explanation:

Can some one help me out pls

Answers

a. ability to access cash value

The answer is the first one (A)

a circle has a circumference of 12. it has an arc of length 11. what is the central angle of the arc, in degrees?

Answers

Answer:   330⁰

Step-by-step explanation:

Circumference (C) = 2π · radius(r)

                          12 = 2π·r

                     [tex]\dfrac{6}{\pi}=r[/tex]

Arc length (s) = radius(r) · θ           (reminder that theta is in radians)

                  [tex]11=\dfrac{6}{\pi}\cdot \theta[/tex]

                  [tex]\dfrac{11\pi}{6}=\theta[/tex]

To convert radians to degrees, use the proportion:   π = 180⁰  

[tex]\dfrac{\pi}{180}=\dfrac{11\pi}{6x}\\\\6x(\pi)=180(11\pi)\\\\x=\dfrac{180(11\pi)}{6\pi}\\\\x=30(11)\\\\x=330[/tex]

solve this problems like how you solve the other ones

Answers

Answer:

59 feet cubed

Step-by-step explanation:

1 x 5 x 7 = 35ft^3

3 x 4 x 2 = 24ft^3

add them together and end up with 59ft^3

What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?

x = 144
x = 30
x = 18
x = 4

Answers

x=4

Multiply the reciprocal of 1/24, which is 24, on both sides. You will result in getting x=24/6, or 4

x=4

Answer:

x=4

Step-by-step explanation:

24 divided by 6 = 4

or 6 x 4 = 24

I NEED HELP!!!!!!!!!!!!!!

Answers

The third one because it’s exponential and that is the form of an exponential increase function

third answer - exponential form .. hope this helps!!

Which expression is equal to 3x?

x + 3
x + x + x
x + x2
2x + 1

Answers

Answer:

The answer is x + x + x.

Step-by-step explanation:

Tripling something means 3 of that thing. 3 + 3 + 3, which is also 3x.

I hope this helped!

Have a wonderful Wednesday!

~Lola

The expression which is equal to 3x is x+x+x. Therefore, option B is the correct answer.

We need to check which expression from the options is equal to 3x.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From option B,

In the expression x+x+x, all three terms are same(like terms), by adding them we get

x+x+x=3x

The expression which is equal to 3x is x+x+x. Therefore, option B is the correct answer.

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on which number line are negative 3 and it's opposite shown​ flvs flex

Answers

Answer:

the first one

Step-by-step explanation:

Find the equation of the line below.

Answers

The equation of the line below : y= -6x.

I WILL AWARD BRAINLIEST!! PLEASE HELP!!

The number a is smaller than the number B by 1/5 of b . By what part of a is b bigger than a?

Answers

Answer:

Bigger by ¼ of a.

Step-by-step explanation:

Let b be represented by all five slices of the pie, and a by the four yellow slices.

Then a is ⅘ of the pie and it is ⅕ smaller than b.

Now, let's turn the argument around.

The four yellow slices represent a, and all 5 slices represent b.

b is greater than a by one slice compared to four.

In mathematical terms, b is bigger by ¼ of a.

A right triangle ABC with height AB labeled 3 units and base BC labeled 5 units is shown. The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide.

Answers

Answer:

Step-by-step explanation:

Answer:

w=3

Step-by-step explanation:

The area of the triangle is given by

A = 1/2 bh

the base is 5 and the height is 3

A = 1/2 (3) * 5 = 15/2  units ^2

The area of a rectangle is

A = l*w

A = 5w

The area of the triangle = 1/2 the area of the rectangle

15/2 = 1/2 *5w

15/2 = 5/2 w

Multiply each side by 2/5 to isolate w

2/5 * 15/2 = 2/5 *5/2 w

3 =w

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Final answer:

The area of the triangle is 7.5 units and the width of the rectangle is 3 units.

Explanation:

The area of a triangle can be calculated using the formula A = (base * height) / 2. In this case, the base of the triangle is given as 5 units and the height is given as 3 units.

So, the area of the triangle is A = (5 * 3) / 2 = 15 / 2 = 7.5 units.

The area of the rectangle is given as 5 units long and units wide. Since the area of the triangle is equal to half of the area of the rectangle, we can set up the equation 7.5 = (5 * width) / 2 and solve for the width.

By multiplying both sides of the equation by 2 and then dividing by 5, we get width = (7.5 * 2) / 5 = 15 / 5 = 3 units. Therefore, the width of the rectangle is 3 units.

Does somebody want some coffe?​

Answers

i want a starbucks double chocolate frappe, thanks

I mean, what's the flavor?

and what's the brand

and is it free?

LOL, I'm sorry this is not helping me get brainiest ah lol

Mmmmmm Coffee- xD

A flying squirrel lives in a nest that is 12 meters high in a tree. To reach a fallen acorn that is 16 meters from the base of the tree, how far will the flying squirrel have to glide?​

Answers

Final answer:

This is a maths problem involving the Pythagorean theorem, which involves calculating the hypotenuse of a right triangle. The squirrel, living in a tree 12 meters high and needing to glide to an acorn 16 meters away, will need to glide a distance of 20 meters.

Explanation:

This question is essentially asking you to calculate the hypotenuse in a right triangle, and the formula for this is rooted in the Pythagorean theorem. You're given the height of the tree (12 meters), which we can call 'a', and the distance from the base of the tree to the acorn (16 meters), which we can designate as 'b'.

The Pythagorean theorem goes as follows: a squared + b squared = c squared, where 'c' is the hypotenuse of the triangle, or in this case, the distance the flying squirrel needs to glide. So, we can plug in the numbers we have: (12²) + (16²) = c². This simplifies to 144 + 256 = c², or 400 = c².

To solve for 'c', we take the square root of both sides, and find that c = 20. Thus, the flying squirrel needs to glide 20 meters to reach the acorn.

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The flying squirrel will have to glide 20 meters to reach the fallen acorn.

To find out how far the flying squirrel will have to glide to reach the fallen acorn, we can use the Pythagorean theorem because the squirrel will glide in a straight line from the tree to the acorn.

Let's denote the distance the squirrel glides as ( x ). According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the distance the squirrel glides) is equal to the sum of the squares of the other two sides (the height of the tree and the horizontal distance to the acorn).

The given information:

- Height of the tree  =  12 meters

- Horizontal distance to the acorn  =  16 meters

Using the Pythagorean theorem, we have:

[tex]\[x^2 = (\text{Height})^2 + (\text{Distance to acorn})^2\]\[x^2 = 12^2 + 16^2\]\[x^2 = 144 + 256\]\[x^2 = 400\][/tex]

Taking the square root of both sides:

[tex]\[x = \sqrt{400}\]\[x = 20\][/tex]

So, the flying squirrel will have to glide 20 meters to reach the fallen acorn.

is 2.799 greater than 2.79 ?

Answers

Yes because 2.799 has a extra digit but if there is an answer that they can be the same then they are the same

which pair of expressions is equivalent to each other?​

Answers

Answer:

C

Step-by-step explanation:

4^5 expanded is 4 * 4 * 4 * 4* 4


What is the equation of the parabola shown in the graph?

Answers

ANSWER

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

EXPLANATION

The given parabola has equation of the form

[tex] {(y - k)}^{2} = 4p(x - h)[/tex]

where (h,k) is the vertex of the parabola.

The vertex of the given parabola is (4,-2).

and p is the distance between the foci and the vertex.

[tex] |p| = 2[/tex]

The parabola opens towards the positive x-axis, therefore p=2.

Hence the equation of the parabola is

[tex] {(y + 2)}^{2} = 4 \times 2(x - 4)[/tex]

[tex]{(y + 2)}^{2} = 8(x - 4)[/tex]

Answer:

Your answer is going to be E for plato users or (y^2/8) + (y/2) + (9/2)

Step-by-step explanation:

Since it is a horizontal Parabola the equation is: (y-k)^2 = 4p(x-h)

The distance between the directrix: p

therefore P=2

h = X value in the vertex

k = Y value in the vertex

h = 4

k = -2

Plug the values into the equation and solve for x

Please find area of the triangle

Answers

Answer:

20 sq m

Step-by-step explanation:

The coordinates of the verticies of a rectangle are (-2,3), (4,3), (4,-4) and (-2, -4) what are the demensions of the rectangle?

A: 1 unit by 2 units
B: 1 unit by 6 units
C: 7 units by 2 units
D: 7 units by 6 units

Answers

Answer:

ok so the answer is.

Step-by-step explanation:

thanks for listening bestie <3

The lines given by the equations y = 6x and y = 6x + 2 are _____. A. parallel B. perpendicular C. neither perpendicular nor parallel

Answers

Answer:

A. Parallel

Step-by-step explanation:

The given lines are

[tex]y=6x[/tex]

and

[tex]y=6x+2[/tex]

The slope of [tex]y=6x[/tex] is [tex]m_1=6[/tex].

The slope of [tex]y=6x+2[/tex] is [tex]m_2=6[/tex].

Since the two lines have the same slope, the two lines are parallel.

Answer:

The correct answer option is A. parallel.

Step-by-step explanation:

We are given the following two lines and we are to determine if they are parallel, perpendicular or none of them:

[tex]y = 6x[/tex] and [tex]y = 6x + 2[/tex]

According to the standard equation of a line, [tex]y=mx+c[/tex], the coefficient of x ([tex]m[/tex]) is the slope of the line.

Slope of [tex]y = 6x[/tex]  = 6

Slope of [tex]y = 6x + 2[/tex]  = 6

Since both the lines have same slope, therefore the two line are parallel.

16 square meters is equivalent o how many square yards


Answers

Answer: 19.13 yd²

Step-by-step explanation:

1. By definition,  you have that 1 square meter is equal to 1.19599 square yards. You can express it as following:

1 m²= 1.19599 yd²

2. Then, keeping the information above on mind, you can make the conversion from 16 m² to yd² as it is shown below:

[tex](16m^2)(\frac{1.19599yd^2}{1m^2})=19.13yd^2[/tex]

Therefore, you have that 16 m² is equivalent to 19.13 yd².

Final answer:

You can convert square meters to square yards by multiplying by 1.196. Therefore, 16 square meters is equivalent to 19.14 square yards.

Explanation:

You're asking about the conversion between square meters and square yards, which is used in measuring areas in mathematics and geometry. To do this conversion, we can use the conversion factor given in the references - 1 m² = 1.196 square yards.

Therefore, to find out how many square yards are equivalent to 16 square meters, we multiply 16 m² by 1.196 (the number of square yards in one square meter). Doing this math gives us an equivalent area of 19.136 square yards.

So, your 16-square meter area is roughly equivalent to 19.14 square yards, when rounded to two decimal places.

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Write the linear equation in slope-intercept form?​

Answers

[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-11})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-11)}{-2-(-5)}\implies \cfrac{1+11}{-2+5}\implies \cfrac{12}{3}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-11)=4[x-(-5)]\implies y+11=4(x+5) \\\\\\ y+11=4x+20\implies y=4x+9[/tex]

wich is the answer of 7+5×6​

Answers

Answer:

37

Step-by-step explanation:

Using order of operations, multiplication is done before addition.

given

7 + 5 × 6 ← perform multiplication

= 7 + 30 ← do the addition

= 37

Use PEMDAS

PEMDAS stands for: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

So.. in 7+5x6, you first multiply (Tip: If you don't see parenthesis or exponents, jump to multiplication) 5 and 6. (30) NOw, you add 5x6 (30) with 7 (=37)

Which equation can be used to find what percent 14 is of 125?

A..
125 = 14p

b.
14 = 125p

c.
14p = 125p

d.
125(14) = p

Answers

Answer:

B. 14 = 125p

Step-by-step explanation:

Final answer:

The correct equation to find what percent 14 is of 125 is 14 = 125p. This equation is solved by dividing both sides by 125. The solution, 0.112 or 11.2%, shows that 14 is 11.2% of 125.

Explanation:

The subject of the question is Mathematics. The question is, 'Which equation can be used to find what percent 14 is of 125?' The correct equation to solve this is: 14 = 125p. The reason for that is because the problem is asking what percent (represented by p) 14 is of 125. So, you want to solve for p. To do so, you would divide both sides of the equation by 125. This would give you p = 0.112, or 11.2%. This means that 14 is 11.2% of 125.

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth, if necessary. units

Answers

Answer:

The perimeter is 38.25 units

Step-by-step explanation:

The perimeter of the tra-pezoid is the distance around it.

The length of the bases can be found using the absolute value method.

|RS|=|20-14|=6 units.

|TQ|=|22-8|=14

Recall the distance formula;

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We use the distance to find the non parallel sides.

[tex]|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25[/tex] units.

and

[tex]|QR|=\sqrt{(8-14)^2+(16-8)^2} =10[/tex] units.

The perimeter of the tra-pezoid is

=14+10+6+8.25=38.25

Answer:

the answer is 38.25

Step-by-step explanation:

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