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Bess [88]
3 years ago
5

What is the answer of 10-squareroot of 4 divided by 2

Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0

Answer:

10

Step-by-step explanation:

sqrt(4)=2

2/2=1

10×1=10

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Help meez 40 pts use surface area formula of cylinder that is for Lateral surface area and for total surface area
jeka94

Answer:So the radius of the cylinder is 2.65 cm.

A cylinder can be defined as a solid figure that is bound by a curved surface and two flat surfaces. The surface area of a cylinder can be found by breaking it down into 2 parts:

1.  The two circles that make up the caps of the cylinder.

2.  The side of the cylinder, which when "unrolled" is a rectangle.

The area of each end cap can be found from the radius r of the circle, which is given by:

A = πr2

Thus the total area of the caps is 2πr2.

The area of a rectangle is given by:

A = height × width

The width is the height h of the cylinder, and the length is the distance around the end circles, or in other words the perimeter/circumference of the base/top circle and is given by:

P = 2πr

Thus the rectangle's area is rewritten as:

A = 2πr × h

Combining these parts together we will have the total surface area of a cylinder, and the final formula is given by:

A = 2πr2 + 2πrh

where:

π  is Pi, approximately 3.142

r  is the radius of the cylinder

h  height of the cylinder

By factoring 2πr from each term we can simplify the formula to:

A = 2πr(r + h)

The lateral surface area of a cylinder is simply given by: LSA = 2πr × h.

Example 1: Find the surface area of a cylinder with a radius of 4 cm, and a height of 3 cm.

Solution:

SA = 2 × π × r2 + 2 × π × r × h

SA = 2 × 3.14 × 42 +  2 × 3.14 × 4 × 3

SA = 6.28 × 16 + 6.28 × 12

SA = 100.48 + 75.36

SA = 175.84

Surface area = 175.84 cm2

Example 2: Find the surface area of the cylinder with a radius of 5.5cm and height of 10cm.

Solution:

The radius of cylinder = 5.5 cm.

The height of cylinder = 10 cm.

The total surface area of the cylinder is therefore:

TSA = 2πr(r+h)

TSA = 11π (5.5+10)

TSA = 170.5 π

TSA = 535.6 cm2

Example 3: Find the total surface area of a cylindrical tin of radius 17 cm and height 3 cm.

Solution:

Again as in the previous example:

TSA = 2πr(r+h)

TSA = 2π× 17(17+3)

TSA = 2π×17×20

TSA = 2136.56 cm2

Example 4: Find the surface area of the cylinder with radius of 6 cm and height of 9 cm.

Solution:

The radius of cylinder: r = 6 cm

The height of cylinder: h = 9 cm

Total surface area of cylinder is therefore:

TSA = 2πr(r + h)

TSA = 12π (6+9)

TSA = 180 π

TSA = 565.56 cm2

Example 5: Find the radius of cylinder whose lateral surface area is 150 cm2 and its height is 9 cm.

Solution:

Lateral surface area of cylinder is given by:

LSA = 2πrh

Given that:

LSA = 150cm2

h = 9cm

π is the constant and its value = 3.14

Substitute the values in the formula and find the value of r by isolating it from the equation:

LSA = 2πrh

150 = 2× π × r × 9

r = 150 / (2×9× π)

r = 2.65cm

So the radius of the cylinder is 2.65 cm.

5 0
2 years ago
Can someone help me solve this?
Dovator [93]

Answer:

5 felt pads.

7 cards.

Step-by-step explanation:

Remark

  • The total number of items is 12
  • So let the felt sheets be x
  • Let the cards = y

Equations and Solution

x + y = 12

Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.

0.5x + 0.75y = 7.75             Multiply this equation by 2

x + 1.5y = 15.50                    write the first equation underneath and subtract.

<u>x +    y =   12</u>

      .5y =  3                          Divide by 0.5

y = 3/0.5

y = 7

So she can get 7 cards.

x + y = 12

x + 7 = 12

x = 12 - 7

x = 5

So she can buy 5 felt pads.

8 0
3 years ago
HELP MEEEEE<br><br> Write 77% as a decimal.
kicyunya [14]

Answer:0.77

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the numeral for fifty million and sixty thousand​
marishachu [46]
500060 is the answer
8 0
3 years ago
Read 2 more answers
Find the nth term of each of the sequences.<br> (a) 16, 19, 22, 25, 28, ...<br> (b) 1,3,9,27,81,...
juin [17]

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

<h3>Explanation:</h3>

a) Add 3 on every number.

b) Multiply every number by 3.

6 0
3 years ago
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