11n - 3 = 9 + 5n
solving:
11n-3=9+5n
+3 +3
11n=9+5n
-5n -5n
6n=9
/6 /6
n= 3/2 (check if correct)
Answer:
It can be written like a*12b=1.
One solution is a=1, b=1/12=0.08(3)
answer (1;1/12)
Answer:
the right side
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer: (sin(@)) ^2 + (cos(@)) ^2 = 1 for all angles @.
Discussion
;
Take a point, say in the first quadrant. on a unit circle (circle with radius 1) Let that point by (x,y). The from the Pythagorean theorem.
x^2 + y^2 = r^2 or as r = 1
x^2 + y ^2 = 1 ("Equation 1")
If you drop a line from (x,y) perpendicular to the x axis you find that
y = r [email protected] or y = [email protected] as r =1.
and
x = r [email protected] or x = [email protected] as r = 1
(Look at the triangle formed by the radius, the perpendicular line and the positive x axis). Substitute these x and y values in Equation 1 above. This gives
([email protected])^2 + ([email protected])^2 =1
which is true for all angles. This is a key "pattern" or identity that you should commit to long term memory!
Regards, MrB
Answer:
312.51 ft
Step-by-step explanation:
You would have to do tangent because if you add a triangle it gives you the opposite side length and you are trying to find the adjacent side lengths to the angle. It would look like this:
tan52=400/x
x*tan52=400*x
xtan52=400
xtan52/tan52=400/tan52
x=400/tan52
x=312.51 ft