Answer:
A. 100
Step-by-step explanation:
4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
For the probability of rain on julty 4h of 0.5 his expected profit is 8885.5 dollars.
<h3>What is probability?</h3>
The probability is occurrence of a certain event out of the total number f events that can happen.
Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.
If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.
We know, the expected profit is,
= 0.5(30427) - 0.5(12656).
= 15213.5 - 6328.
= 8885.5 dollars.
learn more about probability here :
brainly.com/question/11234923
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No, the longest side must be less than the sum of the smaller sides or else they won't connect (try it yourself with straw or something)
40+30>120
70>120
false, therfor they canonot be a triangle
