Answer:

Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:



(tan 30 = 1/√3)

Rationalize


We know that
<span>the probability of the Galaxy team winning is 22%------> 0.22
</span>the probability of the Galaxy team losing is 100%-22%----> 78%-----> 0.78
<span>the probability of the Komets team winning is 47%------> 0.47
</span>the probability of the Komets team losing is 100%-47%----> 53%-----> 0.53
therefore
<span>the probability of the comets losing their race and the galaxy winning theirs is
0.53*0.22=0.1166------> 11.66%
the answer is
11.66%</span>
Answer:
Caterer One: C = 55n
Caterer Two: C = 40n + 550
Caterer Three: C = 35n + 800
Step-by-step explanation:
Answer:
c. (x^2+1)(x^2+a)-a = x^2(x^2+a+1)
Step-by-step explanation:
You can use FOIL or the distributive property to expand the product of binomials, Then collect terms and factor out the common factor.
(x^2+1)(x^2+a)-a
= x^2(x^2 +a) +1(x^2 +a) -a
= x^4 +ax^2 +x^2 +a -a
= x^4 +ax^2 +x^2
= x^2(x^2 +a +1) . . . . . matches choice C