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:
Step-by-step explanation:
Answer:
All that apply is 18 20 22 24
Step-by-step explanation:
Given:
Manuel has 18 yards of fabric to make table runners.
It takes 3/4 yard to make each runner.
The question is
How many yards runners can Manuel make i.e. 3/4 yard runner with 18 yards
To get all that apply, we will have to divided the yards of fabrics by yards used
= 18 ÷ ¾
= 18 X (4/3)
= 18 x 1.3333
= 23.9
≅ 24
