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Vedmedyk [2.9K]
3 years ago
6

If the total surface area of a cube is 302.46ft2 what best describes the length of the side of the cube?​

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

7.1ft

Step-by-step explanation:

The formula for calculating the total surface area of a cube is 2(L²+L²+L²)

=2(3L²)

= 6L²

Where L is the length of the cube

If the total surface area of a cube is 302.46ft², then

302.46 = 6L²

L² = 302.46/6

L² = 50.41

L =√50.41

L = 7.1ft

The length of the side of the cube is 7.1ft

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3x20=3x(10+_) what is the answer?
Assoli18 [71]
The obvious answer to this would be 10.

The most simple way to do it would be taking out 3 x from each side of the equation and do 20 = 10 + _

Another way would be to actually solve it.

Let us put into the situation that the unknown variable would be y. The equation then would look like this.

3 x 20 = 3 x (10 + y)

Then solve

3 x 20 = 3 x (10 + y)
--------    ---------------
   3                  3
20 = 10 + y
20 - 10 = y
10 = y

10 would be the answer
3 0
2 years ago
Read 2 more answers
Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl
lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13

x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88

x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63

x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38

x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13

So, the table becomes:

\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}

Next, calculate the mean

\bar x = \frac{\sum fx}{\sum f}

\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}

\bar x = \frac{1845.73}{146}

\bar x = 12.64

Next, the sample variance is:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}

So, we have:

\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}

\sigma^2 = \frac{2393.6875}{145}

\sigma^2 = 16.51

The sample standard deviation is:

\sigma = \sqrt{\sigma^2}

\sigma = \sqrt{16.51}

\sigma = 4.06

6 0
2 years ago
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her b
insens350 [35]

For this case the distance will be given by:

d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2

Rewriting we have:

d ^ 2 = (18) ^ 2 + (12) ^ 2

d ^ 2 = 324 + 144

d ^ 2 = 468

d = root (468)

d = 21.63 Km

Answer:

1) She did not find the full distance each traveled in 1.5 hours.

2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.

4 0
2 years ago
What is 1.2 simplified
natali 33 [55]

Answer:

it is 1 2/10 but simplified to 1 1/5

Step-by-step explanation:

5 0
2 years ago
What is the volume of a cylinder with a radius of 4cm and a height of 8cm
MissTica

Answer: V=πr^2h=π·4^2·8≈402.12386cm^2

6 0
3 years ago
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