Answer:
-3/2
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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:
65.5 m
Step-by-step explanation:
Step 1. Find the width of the rectangle.
The formula for the area of a rectangle is
A = lw
Data:
A = 265.5 m²
l = 18 m
Calculation:
265.5 = 18w
w = 265.5/18 = 14.75 m
Step 2. Calculate the perimeter
The perimeter (P) of a rectangle is the sum of the lengths of its sides.
P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m
The perimeter of the rectangle is 65.5 m.
