Find the cardinality of the set A=x | -3 < x < 33.

The smallest integer is $-2$.
The largest integer is 32.

(Largest integer - Smallest integer) + 1.

The correct option is C.
The final answer is $\boxed{\text{C. } 35}$.

So, we can write the given equation as:

Therefore, we can equate the angles.

The correct option is C.
The final answer is $\boxed{\text{C. } 20^\circ}$.

The possible outcomes are $\{1, 2, 3, 4, 5, 6\}$.
Total number of outcomes = 6.

The favorable outcomes are $\{3, 4\}$.
Number of favorable outcomes = 2.

The correct option is A.
The final answer is $\boxed{\text{A. } \frac{1}{3}}$.

Number of black balls = 2
Number of green balls = 3
Number of red balls = 4

The correct option is B.
The final answer is $\boxed{\text{B. } \frac{2}{3}}$.

The sum to infinity $S_\infty$ is given by $S_\infty = \frac{a}{1-r}$, where $a$ is the first term and $r$ is the common ratio, provided $|r| < 1$.

First term $a = 10$.
Common ratio $r = \frac{2}{3}$.
Since $|\frac{2}{3}| < 1$, the sum to infinity exists.

The correct option is C.
The final answer is $\boxed{\text{C. } 30}$.

Length $L = (x+2)$ m
Breadth $B = (x-3)$ m
Perimeter $P = 2(L+B)$
Given $P = 30$ m.

Divide both sides by 2:

Add 1 to both sides:

Divide both sides by 2:

The correct option is A.
The final answer is $\boxed{\text{A. } 8 \text{ m}}$.