A jar contains 3 blue marbles and 6 red marbles. Suppose you choose a marble at

Estimate 18.22 + 8.531 by first rounding each number to the nearest tenth

hram777 [196]

Answer:

18.2+8.5=26.7

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

At 8am,Ming Wei started travelling from Town A to Town B.At 8:40am, Ali started travelling from Town B to Town A.Mingwei's speed

Vesnalui [34]

Let's write some equations.

Mingwei's distance from Town A after $x$ hours from 8:00 is $45x$ .

Ali's distance from Town B after $x$ hours is $30x-20$ , since he doesn't start walking for 40 minutes.

When Mingwei's distance is twice Ali's, they've met up (since their distance from Town A is twice their distance from Town B).

So, this gives $45x=60x-40$ , so $15x=40$ , so $x=\frac{40}{15} = \frac{8}{3}$ , so the time is 10:40.

After $\frac83$ hours, Mingwei has traveled $45 * 8 / 3 = 120$ kilometers while Ali has traveled sixty, so the distance between the towns is $180$ kilometers.

7 0

3 years ago

Help me with this please

Blizzard [7]

I believe the answer would be 200 feet

3 0

3 years ago

Solve: 8.2 = 3.4 + d d = _____

Alinara [238K]

Answer:

4.8

Step-by-step explanation:

You just subtract to solve for d so,

8.2 = 3.4 + d

-3.4 -3.4

4.8 = d

8 0

3 years ago