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:
Yes
Step-by-step explanation:
3 medium cars to 1 small car can be made into a fraction like this:
or
. But you must be consistent if the denominator represents medium cars or small cars.
For this, I'm just going to make medium cars the numerator.
18 medium cars to 6 cars can be made into a fraction like this :
.
When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).


These ratios are equivalent.
Answer:
11/20 or 99/180 days
Step-by-step explanation:
55/100 converted to ?/180
180/100=1.8
so you would do the same on the numerator which is 55*1.8=99
99/180= 33/60=11/20
Answer: Between by 6 and 7 but closer to 7
Step-by-step explanation: