“if it is a regular hexagon, then it has exactly 6 congruent sides.”
“it is a hexagon” being your hypothesis (p)
“it has exactly 6 congruent sides” being your conclusion (q).
hope this helps :)
Answer:
Formula: A = 48,000(1+0.02)^t
salary after 30 years: $ 86,945.35
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial salary
r = raising rate (decimal form)
t= years
A = salary after t years
Replacing with the values given:
A = 48,000 (1+ 2/100)^t
A = 48,000(1+0.02)^t
Salary after 30 years: substitute t=30
A = 48,000(1+0.02)^30
A = 48,000(1.02)^30
A=$ 86,945.35
Feel free to ask for more if needed or if you did not understand something.
Answer:
39 = r-13
Step-by-step explanation:
5 seconds
because that is the positive zero of that equation
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
