Answer:

Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

Since we know their equations, substitute:

Solve for x. Combine like terms on the left:

Subtract 9 from both sides:

Divide both sides by 9:

So, the value of x is 9.
We want to find A. So, let's use the equation for A:

Substitute 9 for x:

Add:

So, the measure of A is 17°.
30% of number A means

similarly, 40% of number B means

These must be equal, so we have

Multiply both sides by 10 to get

So, you can choose any number for A, and then you multiply it by 4/3 to get B. There are infinitely many solutions to this equation.
Answer: True
Step-by-step explanation: Because if we have two independent events and want to know the probability of their happening at the same time, we multiply the two probabilities together. "Two events happening at the same time" is a compound event. We more often see this as "P(xy)," the probability of x AND y.
Answer:
Therefore the population will be maximum when x=30 inches.
Step-by-step explanation:
Given that, the mosquito population is a function of rainfall and can be approximated by the formula

where x is the number of inches of rainfall.

Differentiating with respect to x

Again differentiating with respect to x

Now we set N'(x)=0





Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.
Therefore the population will be maximum when x=30 inches.
Answer:
x=1.5
Step-by-step explanation: