Answer:
45.7
Step-by-step explanation:
Hello there!
We can calculate the missing angle using trigonometry
here are the trigonometric ratios
sin = opposite over hypotenuse
cos = adjacent over hypotenuse
tan = opposite over adjacent
We are given x's opposite side length (8) and x's adjacent side length (7.8)
we are given the information to use the trigonometric ratio tangent
so now we create an equation (remember tan - opposite over tangent)
now we solve for x
we're left with
finally we want to get rid of the tan
To do so we take the inverse of tan (arctan^-1) and apply it to each side
so x = 45.7252243
finally we round to the nearest tenth and get that the answer is
45.7
V o = 15 m/s, a = 2 m/s², t = 15 s
v = v o + a · t
v = 15 m/s + 2 m/s² · 15 s = 15 m/s + 30 m/s = 45 m/s
Answer: A ) 45 m/s
Take a look at it. We know it's a cone, right? So that answers your 3rd question. The base (or the part that it sits on if you put it down), is a circle. The other parts it can't sit on without rolling, so it has to be that circular side. And if that's a circle, that means that any line from the center to the outside 'circumference' is the radius. This means that the answer is A.
Answer:
Sample Response: Jason needs to substitute the value he found for x in the original equation. Then he needs to use order of operations to simplify. If the result is a true statement then Jason’s solution is correct.
Step-by-step explanation:
Answer:
Mean is 0.6.
Standard deviation is 0.059
Step-by-step explanation:
The first step is finding the sample proportion p.
Suppose Maria, a researcher, takes a random sample of 70 Americans and finds that 42 are over the age of 20.
This means that 
What are the mean and standard deviation of the sampling distribution of p?
Mean:
The mean of a proportion is the same as the proportion. So the mean is 0.6
Standard deviation:
Proportion p in a sample of size n. The standard deviation is:
Sample size 70, so:
