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3 years ago

Find the surface area of a cylinder with a height of 7 m and a base radius of 6 m.

Mathematics

1 answer:

weqwewe [10]3 years ago

6 0

Answer:

489.84 m²

Step-by-step explanation:

Area of one 2d circle: πr² ⇒ π6² ⇒ 36π ≈ 113.04 (using 3.14 for pi)

Area of both 2d circles: 113.04 + 113.04 =226.08 m²

Now we have to find the width of the rectangle, which is equal to the circumference of either circle:

Width of rectangle: 2πr ⇒ 2π6 = 12π ≈ 37.68 (using 3.14 for pi)

We can find the area of the rectangle now, since the length was given

Area of rectangle: 37.68· 7= 263.76 m²

Surface Area: 263.76+226.08= 489.84m²

Hopefully this helps!

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F f(x) = - 4x + 3 and g(x) = 3x2 + 2x - 4, find (f+ g)(x).

Alla [95]

Answer:

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3 years ago

If j // l, m<1 = 135, m<2 = 55, and m<3 = 45, list all other parallel lines. Justify your answers. Show work if any.

sergejj [24]

Answer:

Step-by-step explanation:

The supplement to ∠1 = 180°-135° = 45° = ∠3, so m is parallel to j and l.

∠2 ≠ 45° and ∠2 ≠ 135°, so k is not parallel to j, l, or m.

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2 years ago

The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −

marysya [2.9K]

Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

$P(x)=-15x(x-8)$

To find:

The current which will produce the maximum power.

Solution:

We have,

$P(x)=-15x(x-8)$

$P(x)=-15x^2+120x$

Differentiate with respect to x.

$P'(x)=-15(2x)+120(1)$

$P'(x)=-30x+120$ ...(i)

To find the extreme point equate P'(x)=0.

$-30x+120=0$

$-30x=-120$

Divide both sides by -30.

$x=4$

Differentiate (i) with respect to x.

$P'(x)=-30(1)+(0)$

$P'(x)=-30$ (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

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3 years ago

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Olin [163]

Answer:

2560

Step-by-step explanation:

5120 divided by 2

f=2560

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trapecia [35]

He would have $4131 left from $5400 with a decrease with 23.5%

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