The Average speed would be 60 miles per hour.
- Divide 330 by 5.5 hours
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:
x + 6, y - 4
Step-by-step explanation:
The original image would be the blue triangle, so you need to see how many units it takes to get to the red triangle.
Let's focus on R and R'.
You need to move 6 units to the right, and 4 units down to get from R to R'.
It would then be the same for the other two points.
Answer:
y=3
Step-by-step explanation:
This is an isosceles triangle because the two angles at the bottom are equal.
This means the two sides are equal
5y-2 = 13
Add 2 to each side
5y-2+2 =13+2
5y = 15
Divide each side by 5
5y/5 = 15/5
y =3
