Given : tan 235 = 2 tan 20 + tan 215
To Find : prove that
Solution:
tan 235 = 2 tan 20 + tan 215
Tan x = Tan (180 + x)
tan 235 = tan ( 180 + 55) = tan55
tan 215 = tan (180 + 35) = tan 35
=> tan 55 = 2tan 20 + tan 35
55 = 20 + 35
=> 20 = 55 - 35
taking Tan both sides
=> Tan 20 = Tan ( 55 - 35)
=> Tan 20 = (Tan55 - Tan35) /(1 + Tan55 . Tan35)
Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1
=> Tan 20 = (Tan 55 - Tan 35) /(1 + 1)
=> Tan 20 = (Tan 55 - Tan 35) /2
=> 2 Tan 20 = Tan 55 - Tan 35
=> 2 Tan 20 + Tan 35 = Tan 55
=> tan 55 = 2tan 20 + tan 35
=> tan 235 = 2tan 20 + tan 215
QED
Hence Proved
okay honey just divide 364 by 26 which is 14
i believe this is the answer
hope i helped.
Answer:
Yes.
Step-by-step explanation:
2.34 is a terminating decimal, meaning that it ends. Therefore, it is rational.
A taxi ride where the total fare is $3, $2 for every mile travelled plus a $1 tip and the original cost of $20.
First write a formula that expresses the cost of the ride:
Total cost= Flat fee + Mileage + Tip
Now let's drop in what we know:
20= 3+2 (miles) +1 - we know the total cost is 20, the fee of 3, the tip of 1 and the cost per mile of 2. The only thing we don't know is the number of miles. So let's solve for that.
Subtract 3 and 1 from both sides to get:
16=2(miles)
Divide both sides by 2:
8=miles
Therefore, you traveled 8 miles.
