Events
• A: an even number is rolled in the first time
,
• B: a number greater than 3 is rolled the second time
The probability of rolling an even number is:
The probability of rolling a number greater than 3 is:
Events A and B are independent, then the probability of one happening after the other is:
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
Answer:
256 ft²
Step-by-step explanation:
4 lateral faces + 2 bases
The total area
distance of a point 
from origin is $\sqrt{x^2+y^2}$
so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$
