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+2) + x + (x+4) = 2(1/2) + 2(x+3)
Step-by-step explanation:
They are equal to each other and the rectangle has 2x more perimeter
The triangle would be divided in half from that rectangle.
Sorry If this is confusing I am not very good at explaining things.
Answer:
We conclude that the slope of the graph of y = 5 x is 5.
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
where
Given the line
y = 5x
comparing with the slope-intercept form of the line equation
The slope of the line = m = 5
Therefore, we conclude that the slope of the graph of y = 5 x is 5.
Answer:
11x2+6x
Step-by-step explanation:
Answer:
53 in^2
Step-by-step explanation:
Divide the arrow into two shapes, a triangle and a rectangle. Now find the area for both of them.
Rectangle: l*w
4*8=32 in^2
Triangle: 1/2bh
1/2(6)(11-4)
3*7
21 in^2
Combine them: 21+32=53
