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3 years ago

Work out the surface area of this cylinder. 6 cm radius 25 cm height

Mathematics

1 answer:

AleksAgata [21]3 years ago

5 0

Step-by-step explanation:

given,

radius = 6 cm

height = 25 cm

we know,

Surface area of cylinder = 2πrh + 2πr²

after inserting the values we got,

→ 2 × 22/7 × 6 × 25 + 2 × 22/7 × 36

→ 942.85 + 226.28

→ 169.13 

hope this answer helps you dear...may u have a great day ahead!.

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GREYUIT [131]

Answer:

the answer is 9/8

Step-by-step explanation:

No. of games=85

No. of wins= 40

no. of losses= 85 - 40

= 45

ratio= 40/45

= 9/8

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3 years ago

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4 years ago

F:[1/2,infinity)—>[3/4,infinity) f(x)=x^2-x+1 find the inverse of f(x);please explain

dexar [7]

Answer:

$f^{-1}(x)=\frac{1}{2}+\sqrt{x-\frac{3}{4}}$

Step-by-step explanation:

y=x^2-x+1

We want to solve for x.

I'm going to use completing the square.

Subtract 1 on both sides:

y-1=x^2-x

Add (-1/2)^2 on both sides:

y-1+(-1/2)^2=x^2-x+(-1/2)^2

This allows me to write the right hand side as a square.

y-1+1/4=(x-1/2)^2

y-3/4=(x-1/2)^2

Now remember we are solving for x so now we square root both sides:

$\pm \sqrt{y-3/4}=x-1/2$

The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.

This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.

That is we want:

$\sqrt{y-3/4}=x-1/2$

Add 1/2 on both sides:

$1/2+\sqrt{y-3/4}=x$

The last step is to switch x and y:

$1/2+\sqrt{x-3/4}=y$

$y=1/2+\sqrt{x-3/4}$

$f^{-1}(x)=1/2+\sqrt{x-3/4}$

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3 years ago