Answer:
x = 2√3 ≈ 3.464
Step-by-step explanation:
The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...
Tan = Opposite/Adjacent
Filling in values, we have ...
tan(30°) = x/6
Multiplying by 6 gives ...
x = 6tan(30°) = 6(√3/3)
x = 2√3 ≈ 3.464
Answer:
Step-by-step explanation:
The slopes of parallel lines are equivalent, so you are correct.
Answer:
The probability that all three batteries would fail is given as:
= 0.000125
Step-by-step explanation:
Given that the probability of the new battery failing = 1/20 or 0.05,
Therefore, the probability that all three batteries would fail is given as:
= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing
= P(A)*P(B)*P(C)
= 0.05 * 0.05 * 0.05
= 0.000125
Answer:
a + 3
Step-by-step explanation:
Kim's age is always three more than Tom's age.
From the given information we can write the equation:
-16t^2 +96t + 4 = 112
-16t^2 + 96t + 4 - 112 = 0
-16t^2 + 96t - 108 = 0
simplify, change the signs, divide by -4
4t^2 - 24t + 27 = 0
You can use the qudratic formula but this will factor to
(2t-3)(2t-9) = 0
Two solutions
t = 3/2
t = 1.5 seconds at 112 ft on the way up
and
t = 9/2
t = 4.5 seconds at 112 ft on the way back down
Graphically, (green line is 112 ft)
