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3 years ago

What is the volume of the cylinder with a diameter of 16ft and height of 10ft?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

7 0

A=2*π*r*h+2*π*r^2

r = 16/2 = 8

using 3.14 for π since you don't say what to use

2x3.14x8x10 = 502.4

2x3.14x8^2 = 401.92

401.92 + 502.4 = 904.32 cubic ft.

Round answer as needed

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You have 100 yards of fencing available to create an enclosure for farm animals. As the

Sunny_sXe [5.5K]

1. area of a pentagon when 1 side is x is $\frac{x^2}{4}\sqrt{5(5+2\sqrt{5})}$
so if perimiter is 100 then one side is 100/5 or 20
area will be $\frac{20^2}{4}\sqrt{5(5+2\sqrt{5})}$ ≈688.2 square yards

2. area of a hexagon when 1 side is length x is $\frac{3x^2\sqrt{3}}{2}$
so if permiter is 100 then length of one side is 100/6 or about 16.666666666666
the area will be $\frac{3(16.6666666)^2\sqrt{3}}{2}$ ≈721.7 square yards

3. area of a regular octagon with side lenghts x is $2(1+\sqrt{2})x^2$
so if 8 sides then side length of each is 100/8 or 12.5
area will be $2(1+\sqrt{2})12.5^2$ ≈754.4 square yards

octagon wil have most space
you can tell because the more sides it has, the more it gets to a circle and the more area it encloses with a given perimiter

3 0

3 years ago

Problem is Sin38-cos52

Paha777 [63]

Notice that 38 and 52 make a total of 90
sinA=cos(90-A)
sin38=cos52, therefore the answer is zero

3 0

3 years ago

Given the following perfect square trinomial, fill in the missing term 4x2 + ___x + 49

Arisa [49]

Answer:

wheres the square trinomail

Step-by-step explanation:

6 0

3 years ago

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A solution of nitric acid has a boiling point of 120 degrees celcius. What is the boiling point of the solution in degrees Fahre

Archy [21]

32 degrees farenheit

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3 years ago

Solve for the missing side to the nearest tenth. 19 X 51

telo118 [61]

Answer:

x = 30.2 units

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 51^\circ=\frac{19}{x}$

Solving for x:

$\displaystyle x=\frac{19}{\cos 51^\circ}$

$\displaystyle x=\frac{19}{0.6293}$

x = 30.2 units

3 0

3 years ago