The limit of a function f at a point a exists if:
Also,
Therefore,
Hence, the limit does not exist
Answer:
The mean of the combined group is 76.67 ≈ 77
Step-by-step explanation:
- The sum of the grades in Tom's group is 20×70 = 1400
- The sum of grades in Alice's group is 10×90=900
- The sum of gradees in the combined group is =1400+900=2300
- Then the mean grade of the combined group is
where
- 2300 is the sum of the all grades in the combined group
- 30 is the total number of people in the group
You can use SAS since you know one pair of sides are congruent and AC splits them so those must make those sides equal. And since those sides, DC and BC, are congruent, the angles must be as well. You can use numbers to prove the angles of D and B or just use that when 2 sides and an angle are congruent, the 3rd side must be congruent.
Answer:
Step-by-step explanation:
Since we are in quadrant 2, sine is positive. Since sine is positive and cosine is negative, then tangent is negative.
Now I'm going to find the sine value of this angle given using one of the Pythagorean Identities, namely .
If given , then we have by substitution of .
Let's solve:
for .
Subtract 4/9 on both sides:
Simplify:
Square root both sides:
===========
Multiplying top and bottom by 3 gives:
I'm going to move the factor of -1 to the top:
3/6 or 1/2 because there are 3 odd numbers and a cube has 6 sides.