Answer:
cos∠ABC = 12/15 = 0.80
tan∠ABC = 9/12 = 0.75
sin∠ACB = 12/15 = 0.80
cos∠ACB = 9/15 = 0.60
tan∠ACB = 12/9 = 1 1/3
Step-by-step explanation:
Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.
cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80
tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75
sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80
cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60
tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))
Answer:
-1
Step-by-step explanation:
We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.
Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportions, the mean is 
and the standard deviation is 
In this problem, we have that:
.
So
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
X = the number of months the tire was used
y = the thickness of the tire tread
y = -(3/7)x + 20
Substitute x for 20 (the number of months the tire was used) and solve for y.
The next question: Substitute x for 49 (the number of months the tire was used) and solve for y.
Okay so for this all you have to do is add 1 to 1/3.
However, to do this you first need to convert 1 into a fraction.
1 = 3/3
3/3 + 1/3 = 4/3
Hope this helps :)
