If the lateral surface area of a cube is 100 square inches, what is the length of an edge?

Answers

Answer 1

Answer:

Length of an edge=4.0825 inches

Approximately 4.1 inches

Step-by-step explanation:

Lateral surface area of a cube=100 square inches

There are 6 square surfaces on a cube.

6a^2=surface area of a cube

6a^2=100

Divide both sides by 6

a^2=100/6

a^2=16.6667

Find the square root of both sides

√a^2=√16.6667

a=√16.6667

x=4.0825 inches

Length of an edge=4.0825 inches

Answer 2

Answer:

2√5

Step-by-step explanation:

I got it correct on founders edtell


Related Questions

In which direction must the graph of Ax) = x be shifted to produce the graph of g(x) = f(x) - 4?
ОА. up
OB. down
O c. left and down
OD. right and up​

Answers

Answer: B. down

Step-by-step explanation:

Translation rules:

For a function h(x):

h(x+c) is a left-shift by c units.h(x-c) is a right-shift by c units.h(x)+c is a up-shift by c units.h(x)-c is a down-shift by c units.

Here, the graph of f(x) becomes the graph of g(x) =f(x)-4 which is similar to "h(x)-c".

That means , f(x) is shifted 4 units down to become g(x).

So, correct option : B. down

Derek bought cloth for $800. He spent $200 for stitching a shirt. He sold the shirt for $1175. Find the profit.​

Answers

Answer:

$ 175

Step-by-step explanation:

cost to make the shirt = the price of cloth+stitching expenses

C=800+200

C=1000 dollars

Profit that Derek made : selling price-expenses

P=1175-1000

p=175 dollars

Simplify to create an equivalent expression. −3(2+4k)+7(2k−1)

Answers

Answer:

[tex]\huge\boxed{2k-13}[/tex]

Step-by-step explanation:

[tex]\sf -3(2+4k)+7(2k-1)\\Expanding \ brackets\\-6-12k+14k-7\\Combining \ like \ terms\\-12k+14k-6-7\\2k -13[/tex]

2k-13
First step= -3(2+4K)+7(2k-1)
Second step= -6 - (12k) + 14k- 7
Third step= -12k+14k - 6 -7= 2k-13

Solve each system of equation for 3y+x=3 and -2y+5x=15

Answers

Answer:

x = 3 and y = 0

Step-by-step explanation:

3y+x=3

-2y+5x=15

Isolate y in 3y + x = 3 :

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

Substitute [tex]y = \frac{3-x}{3}[/tex]  in -2y + 5x = 15 :

[tex]-2 * \frac{3-x}{3} + 5x = 15[/tex]

Simplify the equation :

[tex]\frac{-6+17x}{3} =15[/tex]

Isolate x in [tex]\frac{-6 + 17x}{3} = 15[/tex] :

Proving x = 3

Isolate y in [tex]y = \frac{3-3}{3}[/tex] :

Proving y = 0

Your solved system of equations are x being 3, and y being 0.

Find the constant $p$ such that $x^2 - 5x + p$ is the square of a binomial.

Answers

Answer:

[tex]p = \frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]x\² - 5x + p[/tex]

Required

Find p, such that the expression is a perfect square

Write out the coefficient of x

Coefficient = -5

Next step is to divide the coefficient of x by 2

[tex]Result = \½(-5)[/tex]

Take the square of the above expression to give p

[tex]p = (\½(-5))\²[/tex]

[tex]p = (\½(-5) * (\½(-5)[/tex]

[tex]p = \½ * \½ * (-5) * (-5)[/tex]

[tex]p = \¼(25)[/tex]

[tex]p = \frac{25}{4}[/tex]

Substitute 25/4 for p in the given expression

[tex]x\² - 5x + p[/tex] becomes

[tex]x\² -5x + \frac{25}{4}[/tex]

Expand the above expression

[tex]x\² - \frac{5x}{2} - \frac{5x}{2} + \frac{25}{4}[/tex]

Factorize

[tex]x(x - \frac{5}{2}) - \frac{5}{2}(x - \frac{5}{2})[/tex]

[tex](x - \frac{5}{2})(x - \frac{5}{2})[/tex]

[tex](x - \frac{5}{2})\²[/tex]

Hence, the value of p is [tex]p = \frac{25}{4}[/tex]

Evaluate the expression 5^-2

Answers

Answer:

[tex]\boxed{\frac{1}{25} \text { OR } 0.04}}[/tex]

Step-by-step explanation:

[tex]5^{-2}\\\\\text {Apply Negative Exponent Rule: } a^{-b}=\frac{1}{a^b}\\\\5^{-2}=\frac{1}{5^2}=\boxed{{\frac{1}{25}} \text { OR } 0.04}[/tex]

PLEASE HELP!!!! ASAPP!!!! I will name Brainliest.
A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?

Answers

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

I REALLY NEED HELP PLEASE HELP ME :(

Answers

Answer:

I may be wrong but I think 8 is your answer.

Step-by-step explanation:

(-1)^(3/7)  x 128^(3/7)

-1 x 128^3/7

128^(3/7) = 8

= 8

A ball is thrown vertically upward from the ground with an initial velocity of 111 ft/sec. Use the quadratic function h(t) = −16t2 + 111t + 0 to find how long it will take for the ball to reach its maximum height (in seconds), and then find the maximum height (in feet). (Round your answers to the nearest tenth.)

Answers

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

Maximum height occurs when h(t) = 0 and the ball begins to fall

h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

Divide both sides by -32

t=3.46872

Approximately, t=3.5 seconds

Recall,

Maximum height occurs when h(t) = 0

h(t)= -32t + 111=0

= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

(-1/2)/(1/2)


what's the answer​

Answers

-.25

Just multiply them across one another and you get -1/4 which is -.25

/////////////nvm///////////

evaluwate 5(14-2to the third power)+8/2

Answers

Answer:

216,004

Step-by-step explanation:

so 5(14-2)third power + 8/2,

that would be

5(12)third power + 8/2

(60) third power + 4

216,000 + 4

Paul travels from Rye to Eston at an average speed of 90 km/h He travels for T hours.

Mary makes the same journey at an average speed of 70 km/h She travels for 1 hour longer than Paul.

Work out the value of T .

Answers

Answer:

3.5 hours

Step-by-step explanation:

Paul:

Speed = 90 km/hTime= T hoursDistance = 90T km

Mary:

Speed = 70 km/hTime = T + 1 hoursDistance = 70(T+1) km

Since the distance is same, we have:

90T = 70(T+1)90T= 70T + 7090T - 70T = 7020T= 70T= 70/20T= 3.5 hours

Answer: Paul's travel took 3.5 hours

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Answers

Answer:

x=20

<B=150°

Step-by-step explanation:

Opposite Interior Angles

8x-10=3x+90

8x-3x=90+10

5x=100

x=20

<B=3x+90

=3(20)+90

=60+90=150

Answer:

x=20

<B = 150

Step-by-step explanation:

The angles are alternate interior angles and when the lines are parallel, alternate interior angles are equal

8x-10 = 3x+90

Subtract 3x from each side

8x-10 -3x = 3x+90-3x

5x-10 = 90

Add 10 to each side

5x-10 +10 = 90+10

5x = 100

Divide by 5

5x/5 = 100/5

x = 20

<B = 3x+90

    = 3*20 +90

    = 60+90

    = 150

A relative frequency table is made from data in a frequency table. Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes S, T, total. The second column is labeled U with entries 26%, 21%, 47%. The third column is labeled V with entries 42%, k, 53%. The fourth column is labeled total with entries 68%, 32%, 100%. What is the value of k in the relative frequency table? Round the answer to the nearest percent.

Answers

Answer:

Hey There. ☆~<___`£《》£`____>~☆ The correct answer is: 33% okay if you don't understand this. Just tell me Okay. k=11 And, let me know if you don't understand how I got this. So, I'm gonna write it out

U V total

S 26 42 68

T 21 k 32

Total 47 53 100

So, you want to look at the column and row labeled total, this is the key. for the row total, it sums up everything in the column above it. so for the u column, the total value is 47 while the two values above it are 26 and 21. These two values sum to 47. This is the same for all other columns, and you can use the same reasoning with the total column as well summing rows.

This gives you two ways to solve for k. either 21 + k = 32 or 42 + k = 53. Either way gets you the answer k = 11

Hope It Helps!~ ♡

ItsNobody~

Answer:

The answer is B

Step-by-step explanation:

Myra wants to practice the piano for at least 22 minutes each day. Which of the following inequalities represents the number of minutes Myra will practice piano?

Answers

Answer:

[tex]x\geq 22[/tex]

Step-by-step explanation:

If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and  we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality [tex]x\geq 22[/tex].

Hope this helped!

3 inches is what fraction of a foot?​

Answers

Answer:

  1/4

Step-by-step explanation:

There are 12 inches in a foot, so 3 inches is 3/12 of a foot. As a reduced fraction, that is 1/4 of a foot.

Answer: 1/4 of a foot.

Step-by-step explanation: If you ever see this, I'm guessing you're in Elementary. But all3 of your questions have gotten me weak.

Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her favorite books. Write an expression to represent all of the books in Ms. Canton's book case. Explain your answer

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-

y indicates the total amount of books

x indicates the equal cost of books on 3 bookshelves

while

+4 indicates 4 other books on the fourth bookshelf

So, the expression will be

y = 3x + 4

Therefore the correct answer is y = 3x + 4

Rewrite the following equation in standard form.
y = -7x - 1

Answers

Standard form is written Ax + By = C where A, B, and C are all integers.

In other words, no fractions.

Also, the A or the coefficient of the x term must be positive.

The only thing we need to do is add 7x to both sides to get 7x + y = -1.

So 7x + y = -1 is our answer.

Answer: 7x+y=-1

Step-by-step explanation:

Add 7x to both sides

Show by shading , the region in a Venn diagram represented by the set notations I)(AUB) NC ii) AU ( BNC)

Answers

See the diagram, and tell me if it's clear

(2x^0y^2)^-3 multiply 2yx^3

Answers

Answer:

[tex]\frac{x^{3} }{4y^{5} }[/tex]

Step-by-step explanation:

Simplifica la expresión


Please answer this question now

Answers

Answer:

1306.24 cm².

Step-by-step explanation:

From the diagram given above, we obtained the following information:

Radius (r) = 13 cm

Pi (π) = 3.14

Slant height (l) = 19 cm

Surface Area (SA) =.?

The surface area of the cone can be obtained as follow:

SA = πr² + πrl

SA = πr ( r + l)

SA = 3.14 × 13 ( 13 + 19)

SA = 40.82 (32)

SA= 1306.24 cm²

Therefore, the surface area of the cone is 1306.24 cm².

Convert 75 miles per hour to feet per second ​

Answers

Answer:

110 feet per second

Step-by-step explanation:

You would mutiply your speed in miles per hour by 5,280. That's the number of feet in a mile and your result is your speed in feet per hour.

75 x 5,280 = 396,000 feet per hour

Then you would divide your speed by 60 and that result is your speed in feet per minute.

396,000 / 60 = 6,600 feet per minute

Lastly, you would divide that speed by 60 and the result is your speed in feet per second.

6,600 / 60 = 110 feet per second

The conversion of 75 miles per hour to feet per second is approximately 110 feet per second.

How do we convert units from miles per hour to feet per second?

We can do this by using conversion factors that relate the two units. Specifically, we can use the fact that 1 mile equals 5,280 feet and 1 hour equals 3,600 seconds.

To convert miles per hour to feet per second, we need to multiply the value in miles per hour by a conversion factor that will cancel out the "miles" unit and replace it with "feet," and another conversion factor that will cancel out the "hours" unit and replace it with "seconds."

So, first we convert miles per hour to feet per hour by multiplying 75 miles/hour by 5,280 feet/mile.

This gives us:

= 75 miles/hour x 5,280 feet/mile

= 396,000 feet/hour

Next, we convert feet per hour to feet per second by dividing by 3,600 seconds/hour.

This gives us:

=396,000 feet/hour ÷ 3,600 seconds/hour

= 110 feet/second

Therefore, 75 miles per hour is approximately equal to 110 feet per second.

To know more about unit conversion check:

https://brainly.com/question/17540215

#SPJ2

A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?

Answers

Answer:

40 pigs.

Step-by-step explanation:

p=pigs c=chickens.

4p=pigs have 4 legs.

2c=chickens have 2 legs.

4p+2c=200

p+c=60

Do the elimination method:

4p+2c=200

(-4)p+c=60

4p+2c=200

-4p-4c=-240

-2c=-40

c=20

p+20=60

p=60-20

p=40

Hope this helps!

BRAINLIEST would help me a lot:)

divide this decimals 5.2 divided 4

Answers

Answer:

1.3

Step-by-step explanation:

5.2/4 = 1.3

To check, 1.3 multiplied by four is 5.2.

Answer:

It’s 1.3

Step-by-step explanation:

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The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that both products launched, is 0.35. What is the probability that Neither will of these products launch? (04) At least one product will be launched ?

Answers

Answer:

1) 0.3 ; 0.7

Step-by-step explanation:

Given the following :

Probability that product A launch : P(A) = 0.45

Probability that product B launch : P(B) = 0.60

Probability that both product launch : P(AnB) = 0.35

P(A alone) = p(A) - p(AnB)

P(A alone) = 0.45 - 0.35 = 0.1

P(B alone) = p(B) - p(AnB)

P(B alone) = 0.60 - 0.35 = 0.25

Probability that neither product will launch :

1 - [p(A alone) + p(B alone) + p(AnB)]

1 - [0.1 + 0.25 + 0.35]

1 - 0.7 = 0.3

Probability that at least one product will launch :

P(A alone) + p(B alone) + p(AnB)

0.1 + 0.25 + 0.35 = 0.7

Properties and characteristics of sum and difference of two cubes.

Answers

Answer:

The properties and characteristics of the sum of two cubes

1) In the sum of two cubes, the middle sign of the binomial factor on the right hand side of the equation is positive

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the sum of two cubes

The properties and characteristics of the difference of two cubes

1) In the difference of two cubes, the middle sign of the binomial factor on the right hand side of the equation is always negative

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the difference of two cubes

Step-by-step explanation:

The sum and difference of two cubes are;

a³ + b³, and a³ - b³

Factorizing the expressions for the sum and difference of two cubes can be shown as follows;

Sum of two cubes; a³ + b³ = (a + b) × (a² - a·b + b²)

Difference of two cubes; a³ - b³ = (a - b) × (a² + a·b + b²).

whats a negative times a positive times a negative?

Answers

Answer:

Positive

Step-by-step explanation:

negative times negative is postive positive times negative is negative

Answer:

A positive.

Step-by-step explanation:

Let's replace these with numbers.

-1 · 2  · (-3)

A negative times a positive will always equal a negative. So, we have:

-2 · (-3)

Any numbers with the same sign (positive or negative)  multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.

6

Hope this helps!! <3 :)

question is-- Northern Tier Gardens has hired you for a summer job installing water gardens. they have circular water garden pools available in a variety of sizes. the manager has asked you to create a table to show the circumference and area of the company's various water garden pools. use 3.14 for π and round each answer to the nearest hundredth. === 20 PTS.

Answers

Answer:

See explanation

Step-by-step explanation:

Atlantic area = πr² = (3.14)(2.5)² = 19.63 ft²

Circumference = 2πr = 2(3.14)(2.5) = 15.7 ft

Pacifica A = (3.14)(6)² = 113.04 ft²

C = 2(3.14)(6) = 37.68 ft

Mediterranean A = (3.14)(1.75)² = 9.62 ft²

C = 2(3.14)(1.75) = 10.99 ft

Baltica A = (3.14)(1)² = 3.14 ft²

C = 2(3.14)(1) = 6.28 ft

Japanesque A = (3.14)(2.25)² = 15.90 ft²

C = 2(3.14)(2.25) = 14.13 ft

Floridian A = (3.14)(3.25)² = 33.17 ft²

C = 2(3.14)(3.25) = 20.41 ft

How do I find DG. A. 3 B. -7 c. 16 d. 13

Answers

Answer:

x = -7

Step-by-step explanation:

DE + EF + FG = DG

2x+17 + 8+2 = x+20

Combine like terms

2x+ 27 = x+20

Subtract x from each side

2x+27-x = x+20-x

x+27 = 20

Subtract 27 from each side

x+27-27 = 20-27

x = -7

Select the equation written in slope-intercept form that corresponds to the given slope and y-intercept. m=6 b=-2

Answers

Answer:

y = 6x - 2

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that:

m = slope = 6

b = y-intercept = -2

x = (x , y)

y = (x , y)

Plug in the corresponding numbers to the corresponding variables:

y = 6x + (-2)

y  = 6x - 2

y = 6x - 2 is your answer.

~

Answer:

y = 6x-2

Step-by-step explanation:

The slope intercept equation  form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x-2

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