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EastWind [94]
3 years ago
11

Find the volume of the cylinder in terms of pi

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

V = 54π in³

Step-by-step explanation:

Volume of cylinder = <em>h * πr² --> b * h</em>, where b = area of circle

Substitute: V = 6 * π(3)²

Exponents: V = 6 * 9π

Multiply: V = 54π in³

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What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)
Marat540 [252]

Answer:

22 units

Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

A = (−1, 3)

B = (−1, 6) ​

C = (2, 10)

D = (5, 6) ​​

E = (5, 3) ​

To find the distance between two points, we use the formula

d = √[(y2 - y1)² + (x2 - x1)²]

Between A and B, we have

d(ab) = √[(6 - 3)² + (-1 --1)²]

d(ab) = √(3²) + 0

d(ab) = √9 = 3

Between B and C, we have

d(bc) = √[(10 - 6)² + (2 --1)²]

d(bc) = √[4² + 3²]

d(bc) = √(16 + 9) = √25 = 5

Between C and D, we have

d(cd) = √[(6 - 10)² + (5 - 2)²]

d(cd) = √[(-4)² + 3²]

d(cd) = √(16 + 9) = √25 = 5

Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

d(de) = √9 = 3

Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

d(ea) = √36 = 6

The perimeter is given as

d(ab) + d(bc) + d(cd) + d(de) + d(ea) =

3 + 5 + 5 + 3 + 6 = 22 units

7 0
2 years ago
Solve lim x-&gt;0 (1+sinx)/cosx
morpeh [17]

Answer:

1

Step-by-step explanation:

(1+sinx)/cosx

(1+sin0)/cos0

(1+0)/1

1/1

1

:. Lim x->0 =1

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=8%20%2B%20y%20%3D%20x" id="TexFormula1" title="8 + y = x" alt="8 + y = x" align="absmiddle" cl
astra-53 [7]
X-y=8 is the answer to 8+y=x
7 0
2 years ago
There are 8 marbles in a bag, all of different colors. In how many orders can 4 marbles be chosen? In other words, what is the
Ratling [72]

I got 70

Combination=n!/((n-r)!r!)

=8!/((8-4)!*4!)

=8*7*6*5*4!/(4!*4!)

=8*7*6*5/(4*3*2)

=70 ways

3 0
2 years ago
Read 2 more answers
Please help me due today
Sati [7]

Answer:

1) C. (3, 5)

2) B. Counterclockwise turn 90 degrees about the origin

3) A. C' (0, -2)

Step-by-step explanation:

i got u bro

5 0
3 years ago
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