Evaluate the following expression. (14)3

Leora wants to paint the nursery on her house. The nursery is an 8-by-13-foot rectangle, and the ceiling is 9 feet tall. There i

Anna007 [38]

Answer:

336 ft²

Step-by-step explanation:

The rectangle is 13 ft long and 8 width that means we have two walls 8* 9 and two walls 13*9

Total walls area is

2*8*9 + 2*13*9 = 144 + 234 = 378 ft²

then we subtrac , areas of door, closet and windows

3 * 6.5 = 19,5 ft²

3 * 6,5 = 19,5 ft²

2 * 1,5 = 3 ft²

42 ft²

Then area to paint 378 - 42 = 336 ft²

4 0

3 years ago

Eight less a number is less than or equal to seventeen

allsm [11]

Answer:

n ≥ -9

Step-by-step explanation:

Let n = the number

8 less than a number means "n – 8", but

8 less a number means "8 – n," so

8 – n ≤ 17 Subtract 8 from each side

-n ≤ 9 Multiply each side by -1

n ≥ -9

Note: When we multiply by a negative number, we must reverse the inequality.

Check:

Try n = -8.

8 – (-8) ≤ 17

8 + 8 ≤ 17

16 ≤ 17

True.

8 0

3 years ago

Which operation should you perform last in the expression 12 × 42?

GrogVix [38]

Answer:

The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the

jek_recluse [69]

The biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>

If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is $x$ , the diameter and the height of the cylinder are also $x$
If the side length of a cube is $x$ unit, then its diagonal will be $x\sqrt{3}$ unit.
The formula for the volume of a cylinder is $V=\pi r^2h$ , where $r$ is the radius and $h$ is the height of the cylinder. If $d$ is the diameter, then $r=\frac{d}{2}$ .

Now, given that the diagonal of the cube is $24$ cm. So, if the side length of the cube is $x$ cm, then we must have

$x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}$

Thus, the side length of the cube is $8\sqrt{3}$ cm.

So, the height of the cylinder with maximum volume will be $h=8\sqrt{3}$ cm and the diameter will be $d=8\sqrt{3}$ cm i.e. the radius will be $r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3}$ cm.