For any circle, the area A = πr² (where r is the radius)
The radius is always half the length of the diameter.
Since our diameter is 12, our radius must be 6.
Let's plug 6 in for r in our equation.
A = π(6)²
<em>6² = 6×6 = 36
</em>A = 36π in²
For π = 3.14...
A = 36×3.14 = 113.04 in²
4 is the maximum depth of the trough so we expect the answer to be less than 4. As the cross section of the trough has the shape y = x², then the width of the water level at any depth y is 2x.
Let a to b be the water depth, σ is the weight density of the fluid (water), y is the depth of water at any level and the width of water at that level is w(x).
The fluid force against the walls of the trough equals :-
b
∫σyw(x) dx. . . . a = 0 and b is the desired depth, y = x², w(x) = 2x a
b
∫62.5 * x² *2x dx = 62.5 * 2 ∫x³ dx = 125 * ¼x⁴ = 31.25x⁴ 0
As the lower level as zero, we now have :-
31.25b⁴ = 779.423
b⁴ = 24.941536
b = 2.23476 ft . . . which is the required depth of water.
Answer:
Half of the possible choices as far as I know are not shown in the picture but your answer should be the graph that is 5 units down than the center of the graph.
<span>6.4x10121.6x103= 6672158.72</span>
Answer:
Step-by-step explanation:
In probability,
"OR" means "addition"
"AND" means "multiplication"
We want probability of A "OR" B, that means we find each individual probability and "ADD" them.
P(A) means P(choosing a 3 card):
There are 4 three-cards, 1 from each suit, and a total of 52 cards, so
P(A) = 4/52 = 1/13
P(B) means P(choosing a 7 card):
There are 4 seven-cards, 1 from each suit, and a total of 52 cards, so
P(B) = 4/52 = 1/13
Now,
P(A or B) = P(A) + P(B) = 1/13 + 1/13 = 2/13
The answer is