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)
The difference would be 74.059
Answer:
7 hours and 9 minutes
Step-by-step explanation:
4 hours and 33 minutes is 273 minutes
7 m/s —> 273 minutes
11 m/s —> M
Criss cross to get M
11x273= 7M
3003=7M
M=429 minutes
==> 429 minutes is 7 hours and 9 minutes
Answer: The original price of brownie was $2.1 each.
Step-by-step explanation:
since we have given that
Let the original price will be x
Number of brownie purchased = 8
According to question , each brownie costs $0.20 less than the original price.
So, it becomes

Hence, the original price of brownie was $2.1 each.
Answer:
1. 0.33 2. 0.16 3. o.11
Step-by-step explanation: