Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
Answer is d
it would be b^12
Negative 10 and positive 10
Answer:
x=1
Step-by-step explanation:
-5x-16=-10x-11
+10x +10x
5x-16=-11
+16 +16
5x=5
5x/5 = 5/5
x=1
Answer:
10ft
Step-by-step explanation:
volume= 502ft³
or, πr²h = 502 ft³
or, h= 502/ (4²π)
or, h= 9.98~10ft
