6/5 divided by 3-[12+7]

One diagonal of a cube has length 12. Compute the surface area of the cube.

arlik [135]

Answer:

The surface area of the cube is $288\ units^{2}$

Step-by-step explanation:

we know that

The length of a diagonal of a cube is equal to

$D=b\sqrt{3}$

where

b is the length side of a cube

In this problem we have

$D=12\ units$

so

$12=b\sqrt{3}$

solve for b

$b=\frac{12}{\sqrt{3}}\ units$

Simplify

$b=4\sqrt{3}\ units$

Find the surface area of the cube

The surface area of the cube is equal to

$SA=6b^{2}$

substitute the value of b

$SA=6(4\sqrt{3})^{2}=288\ units^{2}$

7 0

3 years ago

How do I solve this equation step by step 3(8-2x)

Amanda [17]

3(8-2x)

Distribute/Multiply 3 into 8 and -2x

3*8 - 3*2x

Final Answer: 24 - 6x

4 0

3 years ago

Read 2 more answers

Jamie was asked to make r the subject of the formula

aksik [14]

Answer:

Assuming the formula below, the answer is:

$r=\dfrac{12s}{12+t}$

Explanation:

I can teach you how to make r the subject of a formula, with an example.

Other similar question asks to make r the subject of this formula:

$t=\dfrac{12(s-r)}{r}$

1. Apply multiplication property of the equalities: muliply both sides of the equality by r

$t\times r=12(s-r)$

2. Apply distributive property on the right side

$t\cdot r=12s-12r$

3. Addition property: ad 12r to both sides

$t\cdot r+12r=12s$

4. Common factor r on the left side

$r(12+t)=12s$

5. Division property of equalities: divide both sides by 12 + t

$r=\dfrac{12s}{12+t}$

6 0

4 years ago

In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the

xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable X can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, p = 0.20.

The random variable X follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of X is:

$P(X=x)=(1-p)^{x}p;\ x=0,1,2,3...,\ 0$

(a)

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

Compute the expected number of guests until the next one pays by American Express credit card as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.20}{0.20}$

$=4$

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

$P(X=10)=(1-0.20)^{10}\times0.20$

$=0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215$

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

3 0

4 years ago

Please simplify the expression

Rzqust [24]

Answer:

10y + 12x +38

Step-by-step explanation:

Take the common variable aside

4y + 6y + 8x + 4x + 6 + 25 + 7

10y + 12x + 38

7 0

3 years ago

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