Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water of its capacity
→ That means the volume of the water is the volume of the tank
∵ The volume of the water = the volume of the tank
∴ The volume of the water = × 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³
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Answer:
x + y = 4
Step-by-step explanation:
Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.
Now, (x + iy)(1 - 3i) = 10
⇒ x(1 - 3i) + iy(1 - 3i) = 10
⇒ x - 3xi + iy - 3yi² = 10
⇒ (x + 3y) + i(y - 3x) = 10
Now, comparing the real and imaginary part of both sides we get,
(x + 3y) = 10 ............. (1) and
y - 3x = 0
⇒ y = 3x ............... (2)
Solving equations (1) and (2) we get
x + 3(3x) = 10
⇒ x = 1
So, y = 3x = 3
Therefore, x + y = 1 + 3 = 4 (Answer)