Answer:
Step-by-step explanation:
If arccos (√3 / 2) = β, then cos β = adjacent side / hypotenuse = √3 / 2. This tells us immediately that the adjacent side length is √3 and the hypotenuse is 2. Via the Pythagorean Theorem, we know that the third side is 1.
This information rules out the 1st and 3rd answer choices.
Because cos 30° = adj / hyp = √3 / 2, we can conclude that the correct answer is the 4th one: 30°, 60°, 90°
The mean decreases, think about it, if every single value in a data set was decreased by the same number, the average would also go down by the same number
The median would also go down, because the value in the middle of the data set would now be smaller than before
The mode would also decrease, because the value that showed up the most in the data set has now also been decreased
The range, however, stays the same. If the lowest value in a data set was 3 and the highest was 10 and you subtracted 2 from each value in the data set, you would have the lowest at 1 and the highest at 8. But, 10-3 still equals 8-1, so the range is unchanged
Answer:
1 Spanish 90%
2.French 37%
3. Chinese 18%
Step-by-step explanation:
9/10 .......... 90/100 ........... 90%
37%.................. 37%
9/50............. 18/100 .......... 18%
Answer: x=100$
Step-by-step explanation:
use the slope formula
y=mx+b
plug in what you have
y=2400, m=22.50x, b=150
solve for x
2400=22.50x+150
subtract 150 from both sides
2250=22.50x
divide 22.50 x from both sides
x=100 people
don't forget your units :)
