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RSB [31]
3 years ago
13

Here is a picture of a cube, and the net of this cube.

Mathematics
2 answers:
Irina-Kira [14]3 years ago
5 0

Answer: 864\text{ mm}^2

Step-by-step explanation:

Given: the side length of the cube = 12mm

The surface area of the cube is given by :-

\text{Surface area }=6(side)^2

Therefore, the surface area of the given cube will be :-

\text{Surface area }=6(12)^2=6\times144=864\text{ mm}^2

hence, the surface rae of the cube is 864\text{ mm}^2

stich3 [128]3 years ago
4 0
SA= 6s^2 (s= side length)
= 6(12)^2
=864 mm
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Find the solution of this system of equations. separate the x and y values.<br> x=2+y<br> -6x-6y=-12
Shkiper50 [21]
{x=2+y
{-6x-6y=-12

-6(2+y) -6y = -12
-12 - 6y - 6y = -12
-12y = -12 + 12
-12y = 0
y = 0

x = 2 + y = 2 + 0 = 2

Answer: x=2, y=0
8 0
3 years ago
Which of the following is NOT a variation of a Pythagorean identity?​
Ipatiy [6.2K]

The expression that is not a variation of the Pythagorean identity is the third option.

<h3>What is the Pythagorean identity?</h3>

The Pythagorean identity can be written as:

sin^2(x) + cos^2(x) = 1

For example, if we subtract cos^2(x) on both sides we get the second option:

sin^2(x) = 1 - cos^2(x)

Which is a variation.

Now, let's divide both sides by cos^2(x).

sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

If you want to learn more about the Pythagorean identity, you can read:

brainly.com/question/24287773

3 0
2 years ago
The heights in inches of orangutans Are normally distributed with a population standard deviation of 3" and an unknown populatio
CaHeK987 [17]

Answer: The 95% confidence interval is approximately (55.57, 58.43)

======================================================

Explanation:

At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.

The sample size is n = 17

The sample mean is xbar = 57

The population standard deviation is sigma = 3

The lower bound of the confidence interval is

L = xbar - z*sigma/sqrt(n)

L = 57 - 1.960*3/sqrt(17)

L = 55.5738905247863

L = 55.57

The upper bound is

U = xbar + z*sigma/sqrt(n)

U = 57 + 1.960*3/sqrt(17)

U = 58.4261094752137

U = 58.43

Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.

7 0
3 years ago
An elevator travels 310 feet in 10 seconds at that speed how far can this elevator travel
frez [133]

Answer:

1,860 per minute and 111,600 per hour

6 0
3 years ago
Answer it and you get points
fgiga [73]

Answer:

79 (first blank)

131 (second blank)

157 (last blank)

Step-by-step explanation:

92-13 to get the first blank, and you get 79.

118+13 to get the second blank, and you get 131.

144+13 to get the last blank and you get 157.

----------------------------------------------------------------------------------------------------------

Check your work:

79+13=92

92+13=105

105+13=118

118+13=131

131+13=144

144+13=157

----------------------------------------------------------------------------------------------------------

I hope this helps!

-No one

6 0
2 years ago
Read 2 more answers
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