A drum has a diameter of<br> 14 inches and a height of<br> 5.5 inches.

Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.

dezoksy [38]

Answer is NO, it does not double.

Step by step.

Equation for surface area (SA) = 2lw+2lh+2wh

If we double the length and width, making them each 2l and 2w, we then have:

2(2l x 2w) + 2(2l x h) + 2(2w x h)
= 2(4lw) + 4lh + 4wh
SA = 8lw + 4lh + 4wh

If the surface area had been doubled, we should get the equation (4lw + 4lh + 4wh) for a doubled surface area.

So no, it is not doubled.

6 0

2 years ago

Help pls will give brainliest pts <br> question is below in attached file <br> pls hurry!!!!

love history [14]

If the side length of the original tile is x, then the area is length * width, or x*x which is x^2. That's the first box up there. The new length is x - 4, since the length is what he cut away from. That's the second box up there. The width is still x, so the third box is x, and the area removed is 4x, the last box. So here's your info: box 1: x^2; box 2: x - 4; box 3: x; box 4: 4x

7 0

4 years ago

A circle with a circumference of 51 inches to find the area

Kaylis [27]

$\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=51 \end{cases}\implies 51=2\pi r\implies \boxed{\cfrac{51}{2\pi }=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \implies A=\pi \left( \cfrac{51}{2\pi } \right)^2\implies A=\cfrac{51^2}{2^2\pi }\implies A\approx 206.98$

4 0

3 years ago

mel fills his Gas tank up with 6 gallons of premium unleaded gas for a cost of $26.58. how much would it cost to fill an 18 gall

Rashid [163]

Answer:

$79.74

Step-by-step explanation:

Divide 26.58 by 6 then multiply that by 18

7 0

3 years ago

ANSWER IF YOU LOVE YOUR LORD!!!! Which graph represents the solution to: 2k+8<5k-1?

Leviafan [203]

Answer:

Third graph

Step-by-step explanation:

First, find the solution to the equation of inequality given.

2k + 8 < 5k - 1

Subtract 5k from both sides

2k + 8 - 5k < 5k - 1 - 5k

-3k + 8 < -1

Subtract 8 from both sides

-3k + 8 - 8 < -1 - 8

-3k < -9

Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)

$\frac{-3k}{-3}$ > $\frac{-9}{-3}$

k > 3

The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.

Therefore, the 3rd graph is the answer.

3 0

3 years ago

A drum has a diameter of 14 inches and a height of 5.5 inches.