Answer:
x = pi/6
x = 11pi/6
x = 5pi/6
x =7pi/6
Step-by-step explanation:
2 sec^2 (x) + tan ^2 (x) -3 =0
We know tan^2(x) = sec^2 (x) -1
2 sec^2 (x) +sec^2(x) -1 -3 =0
Combine like terms
3 sec^2(x) -4 = 0
Add 4 to each side
3 sec^2 (x) = 4
Divide by 3
sec^2 (x) = 4/3
Take the square root of each side
sqrt(sec^2 (x)) = ±sqrt(4/3)
sec(x) = ±sqrt(4)/sqrt(3)
sec(x) = ±2 /sqrt(3)
Take the inverse sec on each side
sec^-1 sec(x) = sec^-1(±2 /sqrt(3))
x = pi/6 + 2 pi n where n is an integer
x = 11pi/6 + 2 pi n
x = 5pi/6 + 2 pi n
x =7pi/6 + 2 pi n
We only want the solutions between 0 and 2pi
Answer:
<h2><u>A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.</u></h2>
Step-by-step explanation:
<h2><u>QUESTION STATISTICS 1. Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not aford to go to schoo</u>l.
</h2>
Answer:
slope = 7
y-intercept= 4
Step-by-step explanation:
Pecan trees yield 45 pounds per acre , And Jenna has p acres for pecan.
So total yield by pecan trees = (pounds per acre) times (total acres for pecan).
Hence, Total yield by pecan trees = 45 x p.
Now,
Hazelnut trees yield 25 pounds per acre and Jenna has h acres for Hazelnut.
So total yield by Hazelnut = (pounds per acre) times (total acres for hazelnut).
Hence, Total yield by Hazelnut = 25 x h.
Total yield = Pecan's yield + Hazelnut's yield.
Hence, so we got 45p + 25h = 900.
Answer:
30°
Step-by-step explanation:
Complementary is they add up to 90°
90° - 60° = 30°