Answer:
It is an identity, the proof is in the explanation
Step-by-step explanation:
csc(A)-cot(A)=tan(A/2)
I'm going to start with right hand side
tan(A/2)=(1-cos(a))/(sin(a)) half angle identity
tan(A/2)=1/sin(a)-cos(a)/sin(a) separate fraction
tan(A/2)=csc(a)-cot(a) reciprocal and quotient identities
Answer:
y = 1/2x - 7
Step-by-step explanation:
y = mx + b
m (slope) = 1/2
x = 4
y = -5
<em>substitute</em>
-5 = 1/2 * 4 + b
-5 = 2 + b
-5 -2 = b
-7 = b
y = mx + b
y = 1/2x -7
Answer:
y = 1/2x + 4
Step-by-step explanation:
If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.
So solve for b: using y = mx + b
2 = 1/2(-4) + b
2 = -2 + b
4 = b
Put it all together
y = 1/2x + 4
To find h, divide the area by the base:
h = 2442 / 12 = 203.5 km.