35295 rounded to nearest ten thousand

The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface

never [62]

Answer:

$2\sqrt{2}\ ft\ longer$

Step-by-step explanation:

Suppose a cube with side length s, the area of one side is

$A_s=s^2$

Since the cube has 6 sides, the total area is

$A=6A_s=6s^2$

But if we have the area, we can solve the above formula for s to get

$A=6s^2$

$\displaystyle s=\sqrt{\frac{A}{6}}$

We have two different cubes with areas 1,200 square inches and 768 square inches. Let's compute their side lengths

$\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}$

$\displaystyle s_1=10\sqrt{2}\ ft$

$\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}$

$\displaystyle s_2=8\sqrt{2} ft$

The difference between them is

$10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft$

The side of the cube with area 1,200 square inches is $2\sqrt{2}\ ft$ longer then the side of the cube with area 768 square inches

7 0

2 years ago

Read 2 more answers

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num

MArishka [77]

Answer:

h = 2.5

Step by step explanation:

We have been given an equation $9(u-2)+1.5u=8.25$ that models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill.

To find value of u we will solve our equation.

Upon using distributive property we will get,

$9(u-2)+1.5u=8.25$

$9u-18+1.5u=8.25$

Now let us add 18 to both sides of our equation.

$9u-18+18+1.5u=8.25+18$

$9u+1.5u=8.25+18$

Now let us combine like terms.

$10.5u=26.25$

Upon dividing both sides of our equation by 10.5 we will get,

$u=\frac{26.25}{10.5}$

$u=2.5$

Therefore, value of u is 2.5.

7 0

2 years ago

Read 2 more answers

Write 7.085 × 10-14 as an ordinary number 0.000 000 000 007 085 0.000 000 000 000 708 5 0.000 000 000 000 0708 5 0.000 000 000 0

jenyasd209 [6]

7.085x10-14 would simplify to 70.85-14, which equals 56.85

4 0

2 years ago

Each month, a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the

Alexxx [7]

P(E)= 29/100 * 49/100 = 0.1421= 14.21%

7 0

2 years ago

Read 2 more answers

Marissa bought a car for $22,000. The value of the car is decreasing at a rate of 10.5% every year. After 5 years, the value of

torisob [31]

Answer: the value of the car will be about $12634

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^ t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the initial value of the car.

r represents rate of decay.

From the information given,

P = $22000

r = 10.5% = 10.5/100 = 0.105

t = 5 years

Therefore

A = 22000(1 - 0.105)^5

A = 22000(0.895)^5

A = $12634

4 0

2 years ago