Just plug in the 30° into that equation.
<span>A(30°) = 16sin(30°)(cos(30°) + 1) </span>
<span> = 16(1/2)(1 + √3/2) </span>
<span> = Approx 14.9 in² </span>
<span>So A is the answer. </span>
Answer:
1) 
2) 49.225
3) 
Step-by-step explanation:
1) To find the expected value of the dice we can use the following equation:

So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:

2) To find the variance of the expected values we can use the equation:

So for our problem will be:



3) To find the expected value of the dice we can use the following equation:

So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be:

Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Factor
=(2x - 3)(2x + 5)
roots (zero)
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
2x + 5 = 0
2x = -5
x = -5/2
x = -2.5
The y's value is given in the first equation.

. Now to solve, we will, plug it's value in the second equation.

Now we have x's value, we will plug it's value in the first equation.(We can plug it in the second one too, but plugging it the first one will make it easier.)