Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:

was, before it was rationalized,

Therefore,

The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1
Answer:
For blue its 3/12 = 1/4 = 25%
For red it's 6/12= 1/2= 50%
For green 2/12= 1/6= 17%
For black 1/12= 8%
Step-by-step explanation:
All you have to do is add up all the marbles 3 + 6 + 2 + 1 = 12 and then you put the number of marbles for each color and divide it by 12 which gives you those percentages. I don't know if you wanted the answers in percentages or fractions so I gave you both . Good luck!!
Answer:
5/10 20/28
Step-by-step explanation:
i think only these.. hope this helps..
1.choosing a red marble since the probability would be 7/12 but the blue would be 5/12 so red is most possible
2.the possibility of a red being chosen is 2/20=1/10
Answer:
x = - 10 ± 
Step-by-step explanation:
y = (x + 10)² , or
(x + 10)² = y ( take square root of both sides )
x + 10 = ±
( subtract 10 from both sides )
x = - 10 ± 