Given:
<span>1. Boston Symphony Orchestra,
2. Cleveland Orchestra,
3. Chicago Symphony Orchestra,
4. Los Angeles Philharmonic,
5. New York Philharmonic,
6. Philadelphia Orchestra,
7. San Francisco Symphony
The probability that it will include at least one group from the US:
5/20 *7/20 = 0.0875
The probability that all 5 will be from the US:
7/20 = 0.35
</span>
Do you want a general solution or from 0 <= x < 2pi?
tan^2(2x) - 1 = 0
tan^2(2x) = 1
Take the square root of both sides,
tan(2x) = +/- 1
Two equations:
tan(2x) = 1
tan(2x) = -1
Solve each equation.
tan(2x) = 1, 2x = {pi/4, 5pi/4, 9pi/4, 13pi/4},
x = { pi/8, 5pi/8, 9pi/8, 13pi/8 }
tan(2x) = -1, 2x = { 3pi/4, 7pi/4, 11pi/4, 15pi/4 },
x = { 3pi/8, 7pi/8, 11pi/8, 15pi/8}
So for solutions within [0, 2pi),
x = {pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8 }
Answer:
two sides have the length of 7m
third side is 11m
Step-by-step explanation:
perimeter is the sum of all sides
let 'n' = length of congruent sides
let '2n - 3' = length of third side
25 = n + n + 2n - 3
25 = 4n - 3
28 = 4n
n = 7m
2(7) - 3 = 11m
Answer and Step-by-step explanation:
The answer would be the last answer choice.
Exponents that are the being raised by another exponent get multiplied, so 6 times -3 is -18.
When a number/variable has a negative exponent, the number/variable will be put under 1, and the exponent will change to be positive.
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