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nekit [7.7K]
2 years ago
10

The diameter and height of this cylinder are equal to the side length, s, of the cube in which cylinder is inscribed. What is th

e expression for the cylinders volume ?
Mathematics
1 answer:
Anna35 [415]2 years ago
7 0

Answer:

1/4πs^3

Step-by-step explanation:

The volume of a cylinder = πr^2h.

Here its height h = s and its radius r = 1/2 diameter = s/2.

So it's volume is π(s/2)^2s

= 1/4πs^3.

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Bad White [126]

Answer:

Which Number Is x, You Didnt Specify

3 0
3 years ago
A sequence is defined recursively by the following rules: f(1)=3f(n+1)=2⋅f(n)−1 Which of the following statements is true about
Radda [10]

Answer:

f(2)=5

f(5)=33

Step-by-step explanation:

The given formula, that recursively defines the sequence is

f(1) = 3 \\ f(n + 1) = 2f(n) - 1

When n=1, we obtain;

f(1+ 1) = 2f(1) - 1 \\ f(2) = 2 \times 3 - 1 \\ f(2) = 6 - 1 \\ f(2) = 5

When n=2, we get:

f(2+ 1) = 2f(2) - 1 \\ f(3) = 2 \times 5 - 1 \\ f(3) = 10 - 1 \\ f(3) = 9

When n=3,

f(3 + 1) = 2f(3) - 1 \\ f(4) = 2f(3) - 1 \\ f(4) = 2 \times 9 - 1 \\ f(4) = 18 - 1 \\ f(4) = 17

When n=4

f(4 + 1) = 2 f(4) - 1 \\ f(5) = 2 \times 17 - 1 \\ f(5) = 34 - 1 \\ f(5) = 33

When n=5,

f(6) = 65

4 0
3 years ago
If angle 4 is 52.7, what are the measures of angles 1,2, and 3? ​
shusha [124]

Answer:

  1. 127.3
  2. 52.7
  3. 127.3
  4. 52.7

Step-by-step explanation:

Since we know the angle measure of angle 4, we already know that angle 2 will have the same measure according to do the vertical angle theorem. Now to find angles 1 and 3, we can make an equation and solve for x (supplementary angles).

52.7 + x = 180

x = 127.3

Best of Luck!

6 0
2 years ago
A pair of shoes is in a ‘35% off’ sale. The recommended retail price (RRP) is £86. How much do the shoes cost in the sale?
9966 [12]

Answer:

Without tax the shoes would cost £55.9.

Step-by-step explanation:

To get this you take the £86 and multiply it by 0.65 because with the 35% sale you are paying for 65% of the item. You get this number by subtracting 35 from 100 and convert it into a decimal.

6 0
3 years ago
Which of the following represents a constant from the expression given ?
AlexFokin [52]

Answer:

The answer in D.

Step-by-step explanation:

In a quadratic expression, ax² + bx + c, c will be the constant.

3 0
3 years ago
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