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
Answer:
-xy+y
Step-by-step explanation:
=2xy-3xy+y
=-xy+y
The correct answer for the exercise shown above is the first option and the las option, which are:
<span>y = 3x + 20
3x - y = -20
</span>
The explanation is shown below:
1. You have the folllowing expression given in the problem above:
y-2=3(x+6)
2. If you solve it for y, you have:
y-2=3x+18
y=3x+18+2
y=3x+20
3. And if you move the variables to the left member, you have:
3x-y=-20
Therefore, as you can see, the correct answer are the options mentioned above.
Volume of a rectangular prism is = L*W*H
Volume of box A is 4800cm^3
Since price is determined by volume, and the price of box A is $6.24 we need to find the price per cm^3. $6.24/4800cm^3 = $0.0013 per cm^3
Volume of box B is 5280cm^3
5280 * 0.0013 = $6.864 which is answer c
Answer:
9 /4 which equals 2 and 1/4
Step-by-step explanation:
plugged into the calculator!
