I think it’s 42 for the parallelogram and 14 for the trapezoid. and then whatever the United are
Answer:
Hydrostatic Force = 14952.35N
Step-by-step explanation:
From the question, we are given;
Diameter of hemispherical plate = 6 ft
Height of submergence = 2ft
Weight density of water = 62.5 lb/ft³
Now, if we assume that the hemispherical plate is residing on x and y axis, then bottom of the plate is on x-axis while the left side of the plate touches the y-axis
Now, the plate is defined by the upper half of the circle as;
(x - 3)² + (y-0)² = 3²
(x - 3)² + y² = 9
Thus, y² = 9 - (x - 3)²
y = √(9 - (x - 3)²)
To solve this, hydro static force on one side of plate is given as;
F = ∫ ρgd•xw(x)δx =
2∫ρgx√(9 - (x - 3)²)δx at boundary of 3 and 0
F = 62.5•9.8•2∫x√(9 - (x - 3)²)δx at boundary of 3 and 0
F = 1225[(27π/4) - 9]
F = 1225 x 12.206 = 14952.35N
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we know that
<u>Simple events</u> are those events where one experiment occurs at one time and it will have a single outcome.
Option 'A' says Getting doubles on a roll of two dice : It has more than one outcome.
i.e. (1,1), (2,2), (3,3), (4,4), (5,5), (6,6).
Similarly, In option 'C' and 'D' both have more than one outcomes.
But Option 'B' says Getting a 4 on a roll of one die : It has single outcome and its probability will be
Hence, Option 'B' is simple event.
Therefore, Option 'b' is correct.
Answer:
3²
Step-by-step explanation:
3⁸ × 3⁴ = 3⁸ ⁺ ⁴ = 3¹²
3² × 3⁸ = 3² ⁺ ⁸ = 3¹⁰
3¹² ÷ 3¹⁰ = 3¹² ⁻ ¹⁰ = 3²