Step-by-step explanation:
Given
perpendicular (p) = a
hypotenuse (h) = 3√2
sin 45 ° = p/h
1 /√2 = a / 3√2
Cross multiply
3√2 = a √2
a = 3√2 / √2
Therefore a = 3.
Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
The probability is 1/5, 1:4(favorable), or 4:1 (unfavorable)
Hope this helps
Answer:
A- 7 more than 2 times m
Step-by-step explanation:
Answer:
{x,y}={8,5}
Step-by-step explanation:
12x + 12y = 156 4x + 6y = 62