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3 years ago

What is the surface area of the cylinder?

Mathematics

2 answers:

luda_lava [24]3 years ago

7 0

Answer:

Surface area of the cylinder is 66π ft²

Step-by-step explanation:

We have to find the surface area of the given cylinder with radius r = 3 ft. and height h = 8 ft.

From the formula of the surface area of the cylinder.

Surface area = 2(πrh + πr²)

= 2π ( 3 × 8 + 3²)

= 2π ( 24 + 9) = 2π (33)

= 66π ft²

Surface area of the cylinder is 66π ft²

Ghella [55]3 years ago

4 0

Answer:
$66\pi \: ft^{2}$

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Find (f −1)'(a).<br><br> f(x) = 4 + x2 + tan(πx/2), −1 < x < 1, a = 4

Vinvika [58]

Answer:

The solution is $(f^{-1})'(a) = \frac{2}{\pi }$

Step-by-step explanation:

From the question we are told that

The function is $f(x) = 4 + x^2 + tan [\frac{ \pi x}{2} ]$ , -1 < x < 1 a = 4

Here we are told find $(f^{-1}) (a)$

Let equate

$f(x) = a$

$4 + x^2 + tan[\frac{\pi x }{2} ] = 4$

$x^2 + tan[\frac{\pi x }{2} ] = 0$

For the equation above to be valid x must be equal to 0

Now when x = 0

$f(0) = 4+0^2 + tan [\frac{ \pi * 0}{2} ]$

=> $f(0) = 4$

=> $0 = f^{-1} (4)$

Differentiating f(x)

$f(x)' = 0 + 2x + sec^2 (\frac{\pi x}{2} )\cdot \frac{\pi}{2}$

Now

since $0 = f^{-1} (4)$

We have

$f(0)' = 0 + \frac{\pi }{2} sec^2 (0)$

$f(0)' = \frac{\pi }{2}$

Now

$(f^{-1})'(a) = \frac{1}{(\frac{\pi}{2} )}$

$(f^{-1})'(a) = \frac{2}{\pi }$

3 0

2 years ago

John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.

Alex17521 [72]

D $\bold{16x^{6}y^{10}z²}$

Answer:

John needs to rewrite the expression $(4x^{3}y^{5}z)²$ . Identify which of the following is the simplified form of the expression.

$(4x^{3}y^{5}z)²$

remenber that square is for all

and power is multiplied

$4²x^{3*2}y^{5*2}*z²$

$16x^{6}y^{10}z²$

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2 years ago

Read 2 more answers

What is 2x-x^2=1 in standard form

adell [148]

Answer:

Answer is in attachment

Mark brainliest pls :)

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1 year ago

Compound probability can be greater than 1. Trueor False?

vivado [14]

Answer:

False

Step-by-step explanation:

Compound probability is the likeliness of two or more events occurring together.

Probability can never be greater than 1 whatever form it takes. Its values range between zero and one. When a probability is multiplied with any particular number such as n ( number of trials) we get expected value or whatever the formula says but probability itself is never greater than 1.

If we get the answer of any question where the found probability is greater than 1 the answer is wrong because probability is not greater than 1.

The sum of all probabilities may be nearly equal to 1 like 0.99999 etc.

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3 years ago

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OlgaM077 [116]

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