**Answer:**

cos A=

**Step-by-step explanation:**

We know,

cotA=

Substituting the value of cot A in the given equation, we get

** **

**Step-by-step explanation:**

Umm sorry but thank you.

Answer:

Step-by-step explanation:

Let x represent the number of hours that he works. babysitting his neighbors children.

Let y represent the number of hours that he works at the other job.

He earns $10 per hour babysitting his neighbors children. This means that the amount that he earns, babysitting his neighbors children for x hours would be

10x

He earns $12 per hour working at the other job. This means that the amount that he earns, working at the other job for y hours would be

12y

Therefore, the inequality that represent the number of hours that he needs to work at both jobs to earn a minimum of $120 is

10x + 12y ≥ 120

**Answer:**

x = -1 or 2

**Step-by-step explanation:**

Taking the antilog, you have the quadratic ...

x^2 -x -1 = 1

x^2 -x -2 = 0 . . . . subtract 1

(x -2)(x +1) = 0 . . . factor

The values of x that make these factors zero are the solutions to the equation.

** x = 2 or x = -1**

**Answer:**

Explained

**Step-by-step explanation:**

here std error =std deviation/(n)^1/2 =1.2875

for 90% CI; at 21 degree of freedom =1.7247

hence confidence interval =mean +/- t*std error =35.579 ; 40.021

b) this interval gives 90% probability to contain true mean of population of wash cycle time

c)that interval would be wider as value of t will be greater for larger interval