Answer:
Option (D)
Step-by-step explanation:
Surface area of a square pyramid is determined from the formula,
Surface area = Area of the square base + 4(Area of one lateral triangular side)
Area of the base = (Side)²
= 8²
= 64 cm²
Area of one lateral triangle = 
= 
= 32 cm²
Therefore, surface area of the square pyramid = 64 + 4(32)
= 64 + 128
= 192 cm²
Therefore, Option (D) will be the correct option.
Hope this helps! I'm sorry for worse handwriting.
Answer:
Workdone = 2450Joules
Step-by-step explanation:
Let the top of the aquarium be at height 0.
Let the bottom of the aquarium be at height 1
F = mg = 2p◇x × g
F= 2000◇x × 9.8
F = 19600◇x
Workdone = 19600xdx
Total workdone = Integral (limits 0.5 -0)19600×dx
Total work = [9800x^2]^0.5
Total work= 9800× 0.5^2 = 2450 Joules
Answer:
c.) aₙ = 5 × 4ⁿ⁻¹
Explanation:
Geometric sequence: aₙ = a(r)ⁿ⁻¹
where 'a' resembles first term of a sequence, 'r' is the common difference.
Here sequence: 5, 20, 80, 320,...
First term (a) = 5
Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4
Hence putting into equation: aₙ = 5(4)ⁿ⁻¹
Answer: x=1, y=-2
Step-by-step explanation:
System
y=3x-5
y=x-3
3x-5=x-3
3x-x=-3+5
2x=2
x=2:2=1
y=x-3=1-3=-2