The correct answer is the third choice, Quadrilateral.
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: 15
a=5, b=3
3a= 3x5= 15
just multiply 45 time 31!
Answer:
x =5
Step-by-step explanation:
We can use ratios for the side lengths
9 x
--------- = -----------
9+18 x+10
Using cross products
9 (x+10) = x * (9+18)
Distribute
9x+90 = x*27
9x+90 = 27x
Subtract 9x from each side
9x-9x+90 = 27x-9x
90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x