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3 years ago

I need help please!!

Mathematics

2 answers:

Usimov [2.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

radius r = 5 cm

Height h = 5 cm

Volume of cylinder = πr²h

= π * 5 * 5 * 5

= 125π cm³

Rasek [7]3 years ago

7 0

Answer:

250π

Step-by-step explanation:

The formula for finding the volume of a cylinder is πr^2h

So, you just substitute the values:

π x 5^2 x 2(5)

Then simplify,

π x 25 x 10

To then get 250π

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never [62]

The width of the court is 30 feet!

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2 years ago

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A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t

frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

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1 year ago

Multiply the polynomials.<br> (x-6)(x^2+2x-4)

Amiraneli [1.4K]

I wrote down the answer cuz it’s just easier to read that way:)

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3 years ago

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25/28=375/x. Use equivalent ratios to solve the proportion.

ANEK [815]

X=420. You can find this by cross multiplying.

4 0

3 years ago

In 2005, the total waste generated in a certain country was 4.033 x 10^9 pounds. Also in 2005, the country's population was 2.05

lakkis [162]

Answer:

$\frac{Garbage}{People} =\frac{4.033x10^{9} pounds}{2.05 x10^{7} people}$

And after operate we got:

$196.73 \frac{pounds}{people}$

So then the gragbe per capita on this was would be $196.73 \frac{pounds}{people}$

Step-by-step explanation:

For this case we know the following info:

Total waste generated for a certain country in 2005 : $4.033x10^9 pounds$

Total population for this country in 2005 $2.05x10^7 people$

And we want to estimate the garbage per capita or per person for 2005, and we can use the following formula:

$\frac{Garbage}{People} =\frac{4.033x10^{9} pounds}{2.05 x10^{7} people}$

And after operate we got:

$196.73 \frac{pounds}{people}$

So then the gragbe per capita on this was would be $196.73 \frac{pounds}{people}$

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3 years ago