10mm to inches would be about 0.39 of an inch. If you want to be extremely exact, then it's 0.393701 of an inch.
Answer:
- 14π/9; 108°; -√2/2; √2/2
Step-by-step explanation:
To convert from degrees to radians, use the unit multiplier ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
In equation form that will look like this:
- 280° × ![\frac{\pi }{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%7D)
Cross canceling out the degrees gives you only radians left, and simplifying the fraction to its simplest form we have ![-\frac{14\pi }{9}](https://tex.z-dn.net/?f=-%5Cfrac%7B14%5Cpi%20%7D%7B9%7D)
The second question uses the same unit multiplier, but this time the degrees are in the numerator since we want to cancel out the radians. That equation looks like this:
× ![\frac{180}{\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B%5Cpi%20%7D)
Simplifying all of that and canceling out the radians gives you 108°.
The third one requires the reference angle of
.
If you use the same method as above, we find that that angle in degrees is 135°. That angle is in QII and has a reference angle of 45 degrees. The Pythagorean triple for a 45-45-90 is (1, 1, √2). But the first "1" there is negative because x is negative in QII. So the cosine of this angle, side adjacent over hypotenuse, is ![-\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
which rationalizes to ![-\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
The sin of that angle is the side opposite the reference angle, 1, over the hypotenuse of the square root of 2 is, rationalized, ![\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
And you're done!!!
Answer:
y=1/2x+6
Step-by-step explanation:
Y=MX+B
m= slope=1/2
b= y-intercept
Answer:
C)
AD/EH= CD/GH= BC/FG= AB/EF = 2
Step-by-step explanation:
Rectangle ABCD and rectangle EFGH are similar
So
AD/EH = 4/2 = 2
CD/GH =8/4 = 2
BC/FG = 4/2 = 2
AB/EF = 8/4 = 2
So
AD/EH = CD/GH = BC/FG = AB/EF = 2