Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer:
Hannah should select the first option, because she will earn $2,181.48¢ in only ___12__ years, which is sooner than having to wait for ____18__ years and a total of ____$2,325.43¢__ , which is only a little than the first option.
Step-by-step explanation:
Please kindly see the attached file for more explanation
The numeric constant of variation is 100
Step-by-step explanation:
Direct proportion means that increase in one variable cause increase in other variable
Here,
It is given that
y varies directly as x
y∝x
when the proportionality symbol is removed a proportionality constant is introduced
Given that
y = 100 when x = 4
Putting the values
The numeric constant of variation is 100
Keywords: Proportion variation
Learn more about direct proportion at:
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Answer:
15 units
Step-by-step explanation:
I just took this geometry test with the same question. Its 15
Answer:
x y
-2 5
-1 . 1
3 . 1
-1 -2
Step-by-step explanation:
in 1 just put in
x y
-2 5
-1 . 1
3 . 1
-1 -2