Answer:
8n - (2n + 11 - 54) =
Step-by-step explanation:
6n + 43, I used a calculator !
Answer:
In the attachment.
Step-by-step explanation:
Rewrite 
as a 
. Then mark each set with different color and take the intersection of these.
Answer:
538,650
Step-by-step explanation:
We must first find how many errors there will be if filed manually and if filed electronically
Manually: 2,700,000*20% or 2,700,000*.2
Answer: 540,000 errors
Electronically: 2,700,000*.05% or 2,700,000*.0005
Answer: 1,350 errors
We must then find the difference; 540,000-1,350=538,650
if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.
so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.
so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.
or using a unit vector for those above, then
Answer:
Pythagorean's theorem: a²+ b²= c²
Sines: sin A = a/c, sin B = b/c.
Cosines: cos A = b/c, cos B = a/c.
Tangents: tan A = a/b, tan B = b/a.
Step-by-step explanation:
For example, if the side a = 22 and the angle A = 41°, we can use a sine and a tangent to find the hypotenuse and the other side. Since sin A = a/c, therefore c = a/sin A = 22/sin 41. Using a calculator, this is 22/0.6561 = 33.5314. Also, tan A = a/b, so b = a/tan A = 22/tan 41 = 22/0.8693 = 25.307.
