Step-by-step explanation:
This is known as the triple tangent identity. Start with the fact that the three angles add up to 0.
(x − y) + (z − x) + (y − z) = 0
Subtract two terms to the other side and take the tangent:
x − y = -((z − x) + (y − z))
tan(x − y) = tan(-((z − x) + (y − z)))
Use reflection property:
tan(x − y) = -tan((z − x) + (y − z))
Now use angle sum identity:
tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]
tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]
tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)
Answer:
$46
Step-by-step explanation:
Answer:
1210 acres
Step-by-step explanation:
Given data
let the old farmland be x acres
new farmland = 968 acres
therefore
let us find 20% of the old farmland
=20/100x
=0.2x
Hence
968+0.2x=x
collect like terms
968=x-0.2x
968=0.8x
x= 968/0.8
x=1210 acres
Since 3 out of 5 doctors (60%) use brand X, solve for 60% of 2,000, which is 1,200 doctors.
Answer:
(1.5, 10.5)
Step-by-step explanation:
