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3 years ago

What is the approximate volume of the cylinder of 4cm and 9cm? Use 3.14 for π.

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

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Can you please help me

SashulF [63]

9514 1404 393

Answer:

(x, y, z) = (90, 75, 105)

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.

(x -15) +(x +15) = 180

2x = 180

x = 90

Angles y and (x-15) are opposites, so ...

y = x -15 = 90 -15 = 75

Similarly, for z ...

z = x +15 = 90 +15 = 105

The values of x, y, and z are 90, 75, and 105, respectively.

6 0

2 years ago

Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

$(1,1,a+b),\\x = 1 \\y = 1$

So it would go towards

$v = (-2a,-2b)$

The magnitud of that vector is

$|v| = 2\sqrt{a^2+b^2}$

and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

6 0

2 years ago

Arithmetic sequence 12, 10, 8, 6

Dennis_Churaev [7]

It's simply 4,2,0,-2..... the pattern is just subtracting two as you go on.

4 0

3 years ago

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babunello [35]

Answer:

Step-by-step explanation:

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2 years ago

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Which point have opposite x- and y-coordinates [for example, (2 -2) or (-3 3)?

podryga [215]

Answer:

D (-9, 9), L (9, -9)

Step-by-step explanation:

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3 years ago