All categories

2 years ago

Find x. (Use the pic for more info)

Mathematics

1 answer:

seropon [69]2 years ago

5 0

9514 1404 393

Answer:

A. 12

Step-by-step explanation:

The midsegment is half the length of the base.

3x -8 = 2(x +2)

3x -8 = 2x +4 . . . . . eliminate parentheses

x = 12 . . . . . . . . . . . .add 8-2x to both sides

You might be interested in

What is the factored form of the expression? 4x^2-18y^2

Pachacha [2.7K]

Hope this helps
$2(2 {x}^{2} - 9 {y}^{2})$

6 0

2 years ago

Read 2 more answers

The volume of a cylinder is 1087 cm and its height is 12 cm.

Ierofanga [76]

Step-by-step explanation:

<h3>Appropriate QuestioN :</h3>

The volume of a cylinder is 108π cm³ and its height is 12 cm. What is the length of the cylinder's radius?

We have to find the length of the cylinder's radius.

$\red{\frak{Given}} \begin{cases} & \sf{Volume\ of\ the\ cylinder\ =\ {\pmb{\sf{108{\pi}\ cm^3.}}}} \\ & \sf{Height\ of\ the\ cylinder\ =\ {\pmb{\sf{12\ cm.}}}} \end{cases}$

We know that,

The volume of a cylinder is the density of the cylinder which shows the amount of material contained in the cylinder.
The volume of the cylinder is given by, πr²h.

Where,

r is for radius.
h is for height.

$\rule{200}{3}$

Now, let's calculate the length of the cylinder's radius.

$\sf \dashrightarrow {Volume\ of\ cylinder\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\pi}\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\cancel \pi}\ =\ {\cancel \pi}r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {108\ =\ r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {\dfrac{\cancel{108}}{\cancel{12}}\ =\ r^2} \\ \\ \\ \sf \dashrightarrow {r^2\ =\ 9} \\ \\ \\ \sf \dashrightarrow {r\ =\ \sqrt{9}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{r\ =\ 3\ cm.}}}}_{\sf \blue{\tiny{Radius\ of\ cylinder}}}}$

∴ Hence, the length of the cylinder's radius is 3 cm.

6 0

1 year ago

An airport shuttle runs between terminals every 4 minutes with a fixed capacity of passengers. 250 people were in line as of 9:0

juin [17]

Answer:

Step-by-step explanation:

424-250 = 174

174/29 = 6

This means every time the shuttle came to pick people up there would be 6 people they couldn't take. So if the shuttle takes 4 minutes to come back and 6 people were to get in line per minute there would be 24 extra people waiting. So 24-x = 6, x=18

I did this equation to see how many people would have to go into the shuttle to leave an extra 6 remaining people in line

8 0

2 years ago

Ierofanga [76]

Answer:

I'm I think you already wrote the answer

3 0

2 years ago

Read 2 more answers

Pls help ASAP! Have to be done with school before I leave for work

kramer

Answer:

M = (-4, -5)

Step-by-step explanation:

M = (-2-6)/2 , (-10+0)/2

M = -8/2 , -10/2

M = (-4, -5)

4 0

2 years ago

Read 2 more answers