the diagonal of a cube is root 12. What is the edge?

Answers

Answer 1

Step-by-step explanation:

Given length of diagonal of a cube = √12 cm Recall that length of diagonal of a cube = √3 × Length of edge of the cube ⇒ √12 = √3 × Length of edge of the cube ∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2 Thus the edge of the given cube is 2 cm


Related Questions

Write an equation of the line in slope intercept form (-2,4) (0,0)

Answers

Answer:

y = -2x

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

Slope = (0 - 4)/(0 - (-2)

Slope = -4/2

Slope = -2

Use the slope = -2 and point (0, 0) and substitute into y= mx + b to solve for b

y = mx + b

0 = -2(0) +b

0 = b

The equation of the line y = -2x + 0    or  y = - 2x

7 2/9 + -5 1/5 =
show your work, show me how you got this answer

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

5.
Use the quadratic function to predict f(x) if x equals 2.

f(x) = −3x^2 + 180x − 285

A. f(2) = 111

B. f(2) = 63

C. f(2) = 87

D. f(2) = 125

Answers

Answer:

B. f(2) = 63

Step-by-step explanation:

f (x) = -3x2 + 180x - 285

For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.

We have to replace:

f (2) = -3 * (2) ^ 2 + 180 * (2) - 285

f (2) = 63

Answer:  

the value of pa for x = 2 is:

f (2) = 63

plss help me with this:(((((​

Answers

The answer for the first question is A

The answer the second question is D

Step-by-step explanation:

so, let's look at the options.

A. (x+3)/x = 3

that hurts already by just looking at it.

but let's check anyway :

x + 3 = 3x

3 = 2x

and that is only true for one value of x (3/2), but not in general.

so, this is wrong.

B. (x²+5)/5 = x² + 1

x² + 5 = 5x² + 5

x² = 5x²

that is only true for one value of x (0), but not in general.

so, this is wrong.

C. (2x+7)/(2x+9) = 7/9

9(2x+7) = 7(2x+9)

18x + 63 = 14x + 63

4x = 0

that is only true for one value of x (0), but not in general.

so, this is wrong.

D. (-5x - 10)/(x+2) = -5

-5x - 10 = -5(x + 2) = -5x - 10

now this is true in all cases, so this is correct.

make simple :

(a² - 4a + 4) / (a² - 4)

with a little bit of experience you see right away that

a² - 4a + 4 = (a - 2)²

as we know from the generic squaring

(a - b)² = a² - 2ab + b² : a perfect fit.

and

(a² - 4) = (a + 2)(a - 2)

as we know from the generic factor multiplying

(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.

so, the given expression is actually

(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))

and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :

(a - 2) / (a + 2)

and that is answer A

1/3(12-9y) distributive property

Answers

Answer:

4 - 3y

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4 - 3y

The simplification of 1/3(12-9y) using distributive property is 4 - 3y

What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, 2( x +y ) can be simplified as 2 × x + 2 × y

= 2x + 2y. This is distributive property.

Similarly, ⅓( 12- 9y) can be simplified as

(1/3 × 12) - (1/3 × 9y)

= 4 - 3y

Therefore 1/3(12-9y) is equivalent to 4 - 3y

learn more about distributive property from

https://brainly.com/question/2807928

#SPJ3

what type of graph is used to display categorical data?

Answers

Answer:

bar chart..

Step-by-step explanation:

there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.​

Answers

Answer:

0.55%

Step-by-step explanation:

230÷100=2.30%

175÷100=1.75%

2.30-1.75=0.55%

I think ‍♂️

The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches

Answers

Answer:

1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation

Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:

Answers

Answer:

steps below

Step-by-step explanation:

x < -10

|1+2x| < 0      ∴ |1+2x| = -(1+2x)

|5 − 3x| > 0   ∴ |5 − 3x| = 5-3x

|−5x − 8 | > 0   ∴ |−5x − 8 | = -5x-8

|1 + 2x| + |5 − 3x| − |−5x − 8 |

= -(1+2x) + (5-3x) - (-5x-8)

= (-2x - 3x + 5x) + (-1 + 5 + 8)

= 12

The graph of a function is shown:

Answers

Answer: a) {-3, -1, 3, 4}

Step-by-step explanation:

f(x) is the output, and x is the input.

Hope it helps :) and let me know if you want me to elaborate.

Make x the subject of the equation x2+3=h​

Answers

Answer:

x2\2+3\2=h/2 therefore x= -3\2+h\2

in figure below, lines r and s are parallel. If the m<1=47° , find:

Answers

Answer:

<3 = 47 degrees

<4 = 133 degrees

<5 = 47 degrees

<6 = 133 degrees

<7 = 47 degrees

<8 = 133 degrees

Angles 1 = 3 = 5 = 7 (vertical angles

Step-by-step explanation:

you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator

Answers

Answer:

3, 6, 7, 9

Step-by-step explanation:

We can take a look at each value from 1 to 10

We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.

given the binomial (x+a) and (b), how would you find the product?

Answers

Answer:

bx + ba

Step-by-step explanation:

Product is multiplication

[Given] (x+a) * (b)

[Reorder] b(x + a)

[Dsitribute] bx + ba

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer this middle school math equation for 30 points lol

Answers

Answer:

n

Step-by-step explanation:

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

Multiply both sides by -5:

[tex]-\frac{1}{5} (x-4)=-2[/tex]:

[tex]-\frac{1}{5} (x-4)*-5=-2*-5[/tex]

[tex]1(x-4)=10[/tex]

[tex]x-4=10[/tex]

Add 4 to both sides:

[tex]x-4+4=10+4[/tex]

[tex]x=14[/tex]

PLS HELP ASAP PLS I RLLY NEED HELP.

Answers

Answer:

THE ANWSER IS A

Step-by-step explanation:

YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE

Please help! I don't understand A-E its urgent :(
No links!!!! (picture included)

A. Name an alternate interior angle to angle 3

B. Name a corresponding angle to angle 8

C. Name a vertical angle to angle 2

D. Name a same side-interior angle to angle 5

E. Name an alternate exterior angle to angle 7​

Answers

Step-by-step explanation:

A. 6 ---- Alternate interior angles are on opposite sides of the transversal while still between the other 2 lines

B. 4 ---- Corresponding angles are angles in matching corners when the transversal crosses over 2 other lines

C. 3 ---- Vertical angles are on opposite sides when 2 lines intersect

D. 6 ---- Side interior angles are the opposite of alternate interior angles, they are both on the same side

E. 2 ---- Alternate exterior angles are very similar to alternate interior angles, only that they are on the outside rather than on the inside of the 2 lines

For a ride on a rental scooter, Rafael paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for Rafael's ride was $18.64. For how many minutes did Rafael ride the scooter?

Answers

Answer:

  158 minutes

Step-by-step explanation:

If m represents the number of minutes Rafael rode, his total bill is ...

  0.08m +6.00 = 18.64 . . . . cost to start plus cost based on time

  0.08m = 12.64 . . . . . . . . . . subtract 6

  m = 12.64/0.08 = 158 . . . . divide by 0.08

Rafael rode the scooter for 158 minutes.

Pls help me on this

Answers

Answer:

I don't understand anything. if I was know of course I will help you

Find the value of each variable.
I have been stuck on these for a week now. Please help.​

Answers

Answer:

Step-by-step explanation:

the varible would be x

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.

Answers

Answer:

whats your equation?

Step-by-step explanation:

Ill edit my answer after.

Answer:

Step-by-step explanation: Sorry if im late

Calculate the volume of a similar channel whose radius 1.5m. I need help in checking is A is correct and please send B with working if possible 3 first to answer gets ranked

Answers

Answer:

252.21m

Step-by-step explanation:

Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest

a sequence is given by the rule 4n^2
work out the 3rd term in the sequence

Answers

Answer: See below.

Step-by-step explanation:

See attachment. It depends on what is considered the "third" term. If n=2 then the result is 16. If 3, the result is 36.

HELPPPPPPPPPPP! I will give brainliest to person who answers
Chanelle selects a marble from the container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times is 1/216. based on this info, what is the probability of Chanelle choosing a red marble the first time she selects a marble? (1) 1/72 (2) 1/36 (3) 1/8 (4) 1/6

Answers

Answer:

4

Step-by-step explanation:

I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer

Answer:

1/6

Step-by-step explanation:

1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.

WILL GIVE BRAINIEST IF YOU GET IT RIGHT PLEASE HELPP!!!
Translation: with the digits 1,2,3 you can form three-digit numbers like 123,231,312 ... determine the sum of all possible numbers

Answers

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

If , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

don't give unwanted ans to get the points ~
stay away if u don't know the ans ( no spams and plagiarism )
well explained ans needed ~

Thanks !! ~ ​

Answers

question ;

if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

answer with explanation ;

by substituting the value of a and b

2a + b

= 2 ( x + 2y ) + ( x - 2y ) = 2x + 4y + 1x - 2y = 2x + 1x + 4y - 2y = 3x + 2y

a - 2b

= ( x + 2y ) - 2 ( x - 2y ) = x + 2y - 2x + 4y = -1 + 6y

i hope my answer helps !!

Answer:

4x - 4y

Step-by-step explanation:

Simplify the expression:

( 2a + b ) - ( a - 2b ) =2a + b - a + 2b = a + 3b

Substitute values:

a + 3b = x + 2y + 3(x - 2y) = x + 2y + 3x - 6y = 4x - 4y

Simplify the expression. -8n - 2n​

Answers

Answer:

-10n

Step-by-step explanation:

To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.

so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n

If it was -8n -2 you could not simplify it since the 2 is single and without the same letter

Same with -8n - 2p because it is not the same letter

One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.

Answers

Answer:

Step-by-step explanation:

probability of an event: number of events that satisfy the criteria/ total number of events

number of events that satisfy the criteria (in this case the number of families with three people)= 200

total number of events= 1000

200/1000= 20%

I will give brainiest if you answer it and give a explanation.

Answers

Answer:

  x = 35

Step-by-step explanation:

The angle marked 125° is angle DPE. The (vertical) angle formed from the rays opposite PD and PE is angle BPA. That angle is divided into two parts by ray PC. One of those parts is angle CPA, shown as 90°. The other part is angle CPB, shown as x°. This means ...

  angle DPE = angle BPA . . . . vertical angles have the same measure

  125° = 90° +x°

  35 = x . . . . . . . . . . divide by °, subtract 90

Solve for j.
3j+1≥10

67 points

:D

Answers

3j+1≥10

Subtract 1 from both sides.

3j ≥ 9

Then divide both sides by 3.

j ≥ 3

3j+1>=10
Take the one to the other side by -1 on both sides
3j>=10-1
3j>=9
Divide both sides by 3
3/3j>=9/3
1j>=3
J>=3
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