The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+2=2x+2+x
3x+2=(2x+x)+(2)(Combine Like Terms)
3x+2=3x+2
3x+2=3x+2
Step 2: Subtract 3x from both sides.
3x+2−3x=3x+2−3x
2=2
Step 3: Subtract 2 from both sides.
2−2=2−2
0=0
Answer:
470:80
Step-by-step explanation:
75 is rounded to 80, while 470 stays the same because it doesn't need to be rounded.
1. u must simplify 3^2 first because the order of operations states that u have to do exponents before subtraction.
2. 12 - 3^2 = 81......she subtracted the 3 first....12 - 3^2 = 9^2 = 81...which is an incorrect answer
3. u do not divide before simplifying 3^2.....order of operations states that u have to do exponents before division
4. no.....(12 - 3)^2 ......order of operations states that u do parenthesis before exponents...so (12 - 3)^2 = 9^2 = 81
Answer:
Clustering
Step-by-step explanation:
Data groups that are grouped closely together
