Answer:
x=3
Step-by-step explanation:
Figure ABCD is a rectangle. In rectangles, <u>opposite sides are equal</u>. In the figure, BC and AD are opposite of each other, therefore their side lengths are equal. The side lengths are given: BC=9x-6, and AD=3x+12. Write this as an equation:
- 9x-6=3x+12
- 9x-3x-6=3x-3x+12 (Subtract 3x from each side of the equation)
- 6x-6=12
- 6x-6+6=12+6 (Add 6 to each side of the equation)
- 6x=18
- x=3 (Divide each side by 6)
please let me know if this is wrong, hope it helps :)
Answer:
Step-by-step explanation:
Factor out of
Answer:
i think the answer is _>
Step-by-step explanation:
where is the x ?
Answer:
7.58
Step-by-step explanation:
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