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:
The space that the package would occupy is 45
cubic feet.
Step-by-step explanation:
The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.
Volume of a cylinder = 
h
where: r is the radius and h is the height of the cylinder.
Given that; h = 5 feet and r = 3 feet.
The required volume = × 
× 5
= × 9 × 5
= 45 cubic feet
The space that the package would occupy is 45 cubic feet.
Answer:
yes
Step-by-step explanation:
Answer:
35/8 if its simple multiple then
Step-by-step explanation:
7/4*5/2
35/8
Start with -3x + 2 = -7
Subtract 2 from each side
-3x = -9
Divide each side by -3
x = 3
