To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
Answer:
The new perimeter would be 36cm.
Step-by-step explanation:
The perimeter would change because you add 3 to two sides, because the perimeter originally was 5+5+10+10. Now, it's (5+3)+(5+3)+10+10. Which is 36.
Answer:
a)
b) SD(x) = 0.9986
Step-by-step explanation:
Given data:
Number of slots 38
slots for red ball 18
slots for black = 18
slots for green 2
outcomes Red Black or Green
Profit 1 -1
P(X) 18/38 20/38
Expected value of wining,

B) Standard deviation of winning SD(x)


SD(x) = 0.9986
the
first equation is the answer of this question.
explanation
where the xy is in sequence so it is the standard form of polynomial
Answer:
13g +6
Step-by-step explanation:
3(6g+2) -5g
Distribute
18g +6 - 5g
Combine like terms
13g +6