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alisha [4.7K]
2 years ago
15

What is ACB on the diagram below?

Mathematics
1 answer:
kap26 [50]2 years ago
6 0

Answer:

67

Step-by-step explanation:

  1. first work out DAB to do that you do 180-127 which is 53
  2. then you add that to 60 which is 113 and do 180-113 because in a trangle all angles added together is 180
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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
A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples?
Angelina_Jolie [31]
You would do $2.00 ÷ 3 = $0.67
10 × $0.67 = $6.70

10 apples would cost $6.70

HOPE THIS HELPED :)
6 0
3 years ago
Read 2 more answers
A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The roc
KonstantinChe [14]

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136

4 0
2 years ago
Solve 3x + k = cfor x.
Ghella [55]
First, subtract k from both sides. That means c - k is in the left side and 3x is on the right. Then, divide by 3 on both sides. So, the answer is x = (c - k) / 3.
7 0
3 years ago
James gave Robert half a candy bar. Robert gave his sister half of what he had. What fraction of the whole candy bar did Robert
Evgesh-ka [11]

Answer:

1/4

25%

Step-by-step explanation:

Robert has 1/2 of the candy bar

If he gave his sister half, she has 1/2 x 1/2 = 1/4 of the candy bar

To convert 1/4 to percentage, multiply by 100

1/4 x 100 = 25%

7 0
3 years ago
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