Answer:
AAS
Step-by-step explanation:
Answer:
4g = 64
Step-by-step explanation:
Let n = the number of nectarines
and g = the number of grapefruit
We have two conditions that must be satisfied to represent the situation:
(1) n = 3g
(2) n + g = 64
If you need one equation, we can substitute (1) into (2) and get
4g = 64
Answer:
Option C.
Step-by-step explanation:
The given expression is
It can be written as
Therefore, the correct option is C.
Answer:
The value of P is 20 .
Step-by-step explanation:
Firstly, you have to create an expression in terms of p using the information :
Next, you have to multiply both sides by 10 :
Below is the solution, I hope it helps.
<span>i) tan(70) - tan(50) = tan(60 + 10) - tan(60 - 10)
= {tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}
ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to:
= 8*tan(10)/{1 - 3*tan²(10)}
iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10)
= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)}
= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)}
= 3*tan(30) = 3*(1/√3) = √3 [Proved]
[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)},
{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
