Answer:
The correct answer is option C. Cos x
Step-by-step explanation:
<u>Points to remember</u>
<u>Trigonometric ratios
</u>
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = Opposite side/Adjacent side
From the figure we can see that, a right triangle with angles and sides are given.
<u>To check the options</u>
1) Sin x = Opposite side/Hypotenuse = p/q
2). Cos y = Adjacent side/Hypotenuse =p/q
3). cos x= Adjacent side/Hypotenuse = r/q
4). tan y = Opposite side/Adjacent side = r/p
Therefore the correct answer is option C. Cos x
Answer:
x=10, x=-10
Step-by-step explanation:
8|x| + 6 = 86
8|x| = 86 - 6
8|x| = 80
|x| = 80/8
|x| = 10
∴ x=10, x=-10
Remember that the absolute symbol turns all number inside of it positive, so |-10| = 10 and |10|=10 too.
Answer:
8. = 0.1x = -0.12. 8yz. 88. D. – 1.2. = y 2 3
Step-by-step explanation:
Answer:
62
Step-by-step explanation:
20% as a decimal is 0.2
For each year get the amount of increase by multiplying the number of rabbits by 0.2
Rabbits in 2013:
25 x 0.2 = 5
25 + 5 = 30 rabbits
Rabbits in 2014:
30 x 0.2 = 6
30 + 6 = 36 rabbits
Rabbits in 2015:
36 x 0.2 = 7.2
36 + 7.2 = 43.2
Rabbits in 2016:
43.2 x 0.2 = 8.64
43.2 + 8.64 = 51.84
Rabbits in 2017:
51.84 x 0.2 = 10.368
51.84 + 10.368 = 62.208
= 62 rabbits
Answer:
20,944 years
Step-by-step explanation:
The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years. We are given the k value of .00012. If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon. What's left then is 8.1%. Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal. We can use the 8.1. Here's the formula:
where N(t) is the amount left over after the decay occurs, 
is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years. Filling in accordingly,
Begin by dividing the 100 on both sides to get
Now take the natural log of both sides. Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.
ln(.081)= -.00012t
Take the natual log of .081 on your calculator to get
-2.513306124 = -.00012t
Now divide both sides by -.00012 to get t = 20,944 years
