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4 years ago

Need help on this hopefully y'all can help me on it

Mathematics

2 answers:

Travka [436]4 years ago

4 0

The formula for finding the volume of a cylinder is V=πr²h where V is the volume, π is 22/7, r is the radius and, h is the height or V=1/4πd²h where V is the volume,π=22/7 ,d is the diameter and h is the height.
Given that the diameter is 12 inches and the height is 10 inches, the volume is
V=1/4πd²h
V=1/4*22/7*12*12*10
V=1131 inches³(rounded to nearest ones or unit)
Therefore the volume of the cylindrical container is approximately 1131cm³

exis [7]4 years ago

3 0

Use the formula. Change diameter to radius. Fill in formula and calculate.

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Please help me it’s due tomorrow and I really need help

Anna35 [415]

Answer:

5 $\frac{1}{3}$ , 10 $\frac{2}{3}$

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

$\frac{2}{3}$ ÷ $\frac{1}{3}$ = 1 $\frac{1}{3}$ ÷ $\frac{2}{3}$ = 2 $\frac{2}{3}$ ÷ 1 $\frac{1}{3}$ = 2

Thus to obtain a term in the sequence multiply the previous term by 2, thus

a₅ = $\frac{8}{3}$ × 2 = $\frac{16}{3}$ = 5 $\frac{1}{3}$

a₆ = $\frac{16}{3}$ × 2 = $\frac{32}{3}$ = 10 $\frac{2}{3}$

4 0

3 years ago

The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t

yanalaym [24]

Answer:

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.

The area for an equilateral triangle is given by:

$\displaystyle A=\frac{\sqrt{3}}{4}s^2$

Where s is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.

Therefore, our volume is:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx$

Substitute:

$\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx$

Evaluate the integral. Simplify:

$\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx$

Integrate using u-substitution:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)$

Evaluate:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)$

Therefore, the volume of the solid is:

$\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)$

Our answer is A.

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3 years ago

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If Andy had an ending balance of $5600 and Charlie had an ending balance of $5624.32, what is the difference in their account ba

MakcuM [25]

The answer is 24.32 is the difference

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3 years ago

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What two numbers multiply to get 25 and add to -10

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4 years ago

Graph the line with the equation y=2/5x + 3.

shusha [124]

Answer:

3r=2

Step-by-step explanation:

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3 years ago

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