Find the probability of spinning an even number and rolling an odd number?
1 answer:
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Answer:
Step-by-step explanation:
Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that . We are given the lengths of all 3 sides in terms of
, but we only need to set two of them equal to each other to solve for
. Let's use
and
to solve for
. We know that
,
, and
. Therefore, we can write the following equation to solve for
(Substitute given values into equation)
Solving for , we get:
(Subtract
from both sides of the equation to isolate constants)
(Simplify)
(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
Therefore, , and
. Hope this helps!
Answer:
Option d is correct.
Step-by-step explanation:
The point of inflection of a function y = f(x) at a pointy c is given by f''(c) = 0.
Now, the given function is
Differentiating with respect to x on both sides we get,
Again, differentiating with respect to x on both sides we get,
So, the condition for point of inflection at point c is
k''(c) = 0 = - sin c + 2 sin c cos c
⇒ sin c(2cos c - 1) = 0
⇒ sin c = 0 or
⇒ c = 0 or
Therefore, option d is correct. (Answer)