Answer: 
<u>Step-by-step explanation:</u>
Note the following identities: tan² x = sec²x - 1

tan² x + sec x = 1
(sec² x -1) + sec x = 1
sec² x + sec x - 2 = 0
(sec x + 2)(sec x - 1) = 0
sec x + 2 = 0 sec x - 1 = 0
sec x = -2 sec x = 1

The side length is the cube root of 460.
cube root(460) = 460^(1/3)
That's approximately 7.7
Answer:
JK= 3 in
Step-by-step explanation:
There is a theorem that says that the angle of a tangent and the radius is of 90°
so we can use the pythagora's theorem

Answer:
The null hypothesis is that there is no difference in the mean number of male and female cats
H₀; μ₂ - μ₁ = 0
Step-by-step explanation:
The given parameters are;
The given percentage of male stray cat population = 50%
The given percentage of female stray cat population = 50%
The number of areas the researcher visits, n = 15
The number of stray male cats he finds = 11
The kind of test to be performed = Sign test
The significance level, α = 0.05
A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.