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
16 and 17. area is given. A=

use this relation to find radius
18.base=2, h=3.8 so, area=(1/2)*base*h=3.8 thats option D
19. area= base*h=12*7=84 option B
20.area of trapezoid= (1/2)h(a+b) where a and b are parallel sides.
so, area=(1/2)(3)(8.9+3.3)=(1/2)(3)(12.2)=3*6.1=18.3 option D
Answer:
A. 56 52 feet
Step-by-step explanation:

supplement means the sum of the two angles is 180° → y = 180 - x
complement means the sum of the two angles is 90° → y = 90 - x
supplement - 3(complement) = 46
(180 - x) - 3(90 - x) = 46
(180 - x) - 270 + 3x = 46
2x - 90 = 46
2x = 136
x = 68
Answer: 68°
Answer:
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-7x
Step-by-step explanation:
the rule of indices states that any thing raised to power of - 1 is 1 over the number. (e.g: 8^ -1 = 1/8 or 7^ -2 = 1/7²
therefore;
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-7x
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