Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
Answer:
There is a 25/81 probability that Grace will make both of her next two shots.
Step-by-step explanation:
The probability of her making the first shot is 5/9.
The probability of her also making the shot after that is still 5/9, that does not change.
To find the probability of both of those events, multiply the fractions.
5/9 * 5/9
25/81.
Let 
and 
. By the product rule,
By the power rule, we have 
and 
, but 
are functions of 
, so we also need to apply the chain rule:
and we have
So we end up with
Replace to get everything in terms of :
We can simplify this by factoring:
Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
Answer:
2
Step-by-step explanation:
The formula for findining slope it y2-y1/x2-x1
so 9-5=4/ 6-4=2
4/2 is 2
the slope is 2
