Answer:
15
Step-by-step explanation:
15/6=2.5 take the 2 1/2 and change it into 6ths.
Working with the right side:
cot(<em>x</em>) + 2 tan(<em>x</em>) + tan³(<em>x</em>) = cos(<em>x</em>)/sin(<em>x</em>) + 2 sin(<em>x</em>)/cos(<em>x</em>) + sin³(<em>x</em>)/cos³(<em>x</em>)
… = (cos⁴(<em>x</em>) + 2 sin²(<em>x</em>) cos²(<em>x</em>) + sin⁴(<em>x</em>)) / (sin(<em>x</em>) cos³(<em>x</em>))
Factorize the numerator as a sum of squares:
<em>a</em>⁴ + 2 <em>a</em>² <em>b</em>² + <em>b</em>⁴ = (<em>a</em>² + <em>b</em>²)²
… = (cos²(<em>x</em>) + sin²(<em>x</em>))² / (sin(<em>x</em>) cos³(<em>x</em>))
Recall that
cos²(<em>x</em>) + sin²(<em>x</em>) = 1
… = 1 / (sin(<em>x</em>) cos³(<em>x</em>))
… = 1 / (sin(<em>x</em>) cos³(<em>x</em>)) • cos(<em>x</em>)/cos(<em>x</em>)
… = cos(<em>x</em>) / (sin(<em>x</em>) cos⁴(<em>x</em>))
… = cot(<em>x</em>) sec⁴(<em>x</em>)
Answer:
Step-by-step explanation:
The general equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. You seem to be referring to "the y-coordinate of the center of the circle," that is, h in (h, k).
Yes, if you move a circle vertically, the y-coordinate of the center changes.
It's unclear what you're asking for help with. Please try to be more specific next time.
Answer:
1.99 L
Step-by-step explanation:
In the question it is mentioned that
The total liters of the water filled is 2 liters
But the family drank 11.73 liters
How should it be possible that the family drank is more than the total liters
So here we assume that the family drunk water should be in milliliters
Now the number of liters left is
= 2,000 ML - 11.73 ML
= 1988.27 ML
Now convert into liters which is
= 1988.27 ÷ 1,000
= 1.99 L
Answer:
You have a 1/4 chances of both of them landins heads! 1/4 is = to 25% I hope this helps!
Step-by-step explanation:
