All categories

3 years ago

Find the surface area.

Mathematics

1 answer:

Marysya12 [62]3 years ago

8 0

let's notice, this is a Cube, namely all equal sides, and mind you it has 6 sides, Check the picture below.

$\stackrel{\textit{area of all 6 sides}}{6(9\cdot 9)\implies 486}$

You might be interested in

Find the value of x and y in the following figure where ABCD is a parallelogram<br><br>

asambeis [7]

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

5 0

3 years ago

The “new look” of the cereal boxes has a length that is three more than two times the width, x, and a height that is one more th

jok3333 [9.3K]

The first option is correct. For the following question, the simplified expression for the volume is 8x3 + 14x2 + 3x.

5 0

3 years ago

Read 2 more answers

The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an

Genrish500 [490]

Answer:

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,

Standard deviation $(\sigma)$ = 7.1

Mean $\overline{(y)}$ = 110

$\alpha =$ 1 - confidence interval = 1 - .98 = .02

$z_{\frac{\alpha}{2}}$ = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = $\overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}$

= $110\pm z_{.01}\frac{7.1}\sqrt{50}$

= $110\pm 2.33\frac{7.1}\sqrt{50}$

First we take + sign

$110 + 2.33\frac{7.1}\sqrt{50}$ = 112.34

now we take - sign

$110 - 2.33\frac{7.1}\sqrt{50}$ = 107.66

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

5 0

4 years ago

Tom works part-time at a theme park. last week he worked the following hours but he needs to complete his timesheet in decimals.

svetoff [14.1K]

He earns 6.92 per hour

8 0

3 years ago

Read 2 more answers

What is the solution to the system of equations?

Mekhanik [1.2K]

Answer:

(-6, -2)

Step-by-step explanation:

When trying to find the solution to a system of equations on a graph, the solution is where the lines intersect.

The lines intersect at (-6, -2). This is the solution.

7 0

3 years ago

Read 2 more answers

Find the surface area. ​

Find the surface area.