I need help, can someone please explain this step by step.

A cylinder has a volume of 864 in3 and a radius of 12 in. What is the height of the cylinder?

Firlakuza [10]

Cyl. vol.: V = pi*r^2*h

Here,

V = 864 in^3 = pi*(12 in)^2*h

864 in^3
so that h = --------------------- = 1.91 inches, or approx. 2 inches.
3.14*144 in^2

3 0

3 years ago

Read 2 more answers

The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?

Law Incorporation [45]

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

5 0

2 years ago

Please help meeeeeeee

lakkis [162]

$\\ \rm\Rrightarrow \left(x+\dfrac{1}{x}\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x}\right)^2\dots(1)$

.Find x²

$\\ \rm\Rrightarrow \left(\dfrac{1}{\sqrt{2}+\sqrt{5}}\right)^2$

$\\ \rm\Rrightarrow \dfrac{1}{2+2\sqrt{10}+5}$

$\\ \rm\Rrightarrow \dfrac{1}{2\sqrt{10}+7}$

Now put in eq(1)

$\\ \rm\Rrightarrow \left(\dfrac{\dfrac{1}{2\sqrt{10}+7}+1}{\dfrac{1}{2\sqrt{10}+7}}\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{1+2\sqrt{10}+7}{2\sqrt{10}+7}\times (2\sqrt{10}+7)\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{2\sqrt{10}+8}{2\sqrt{10}+7}\times (2\sqrt{10}+7)\right)^2$

$\\ \rm\Rrightarrow \left(\dfrac{(2\sqrt{10}+8)\cancel{(2\sqrt{10}+7)}}{\cancel{2\sqrt{10}+7}}\right)^2$

$\\ \rm\Rrightarrow (2\sqrt{10}+8)^2$

$\\ \rm\Rrightarrow 40+32\sqrt{10}+64$

$\\ \rm\Rrightarrow 32\sqrt{10}+94$

More simplification (If required)

$\\ \rm\Rrightarrow 2^52^{\frac{1}{2}}\sqrt{5}+94$

$\\ \rm\Rrightarrow 2^{5+\frac{1}{2}}\sqrt{5}+94$

$\\ \rm\Rrightarrow 2^{\frac{11}{2}}\sqrt{5}+94$

$\\ \rm\Rrightarrow \sqrt{2^{11}}\sqrt{5}+94$

$\\ \rm\Rrightarrow \sqrt{2048(5)}+94$

$\\ \rm\Rrightarrow \sqrt{10240}+94$

Most accurate

$\\ \rm\Rrightarrow 101.19+94$

$\\ \rm\Rrightarrow 195.19$

6 0

3 years ago

HELP ASAP!! 10 points!

alisha [4.7K]

The area of circle is 12312 yd^2

Step-by-step explanation:

Given

Area of 20° sector = 684 yd^3

First of all, we have to find the number of total 20° sectors in the whole circle

so,

Number of sectors = 360/20 = 18 sectors

The total number of sectors is 18

So,

The area of 18 sectors will be:

18*684 = 12312 yd^2

The area of circle is 12312 yd^2

Keywords: Circle, sectors

Learn more about circle at:

#LearnwithBrainly

3 0

4 years ago

What are the solutions to 2x^2-4x-30=0

oksano4ka [1.4K]

Answer:

ill try 2x2-4x-30=0

Two solutions were found :

x = 5

x = -3

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(2x2 - 4x) - 30 = 0

5 0

4 years ago