You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
The expression for the perimeter of the rectangle is: 
Step-by-step explanation:
Perimeter of a rectangle:
A rectangle has length l and width w. It's perimeter is given by:
In this question:
So
The expression for the perimeter of the rectangle is:
The answer is variable expenses.
Answer:
1) 75 minutes / 1hour 15minutes
Step-by-step explanation:
to get one question done takes (45 ÷ 12) minutes. then times by 20.
Answer
2) I'm not too sure, I got 208.3 reoccurring, but that doesn't seem right so sorry if it's wrong
Answer
3)168 girls
step-by-step explanation
364 ÷ (6+7) × 6
$567.86
The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 4.25% per year compounded 12 times per year over 3 years is $567.86.
