<h3>

</h3>
Answer:
Solution given
Cos
consider Pythagorean theorem

Subtracting
both side

doing square root on both side we get

Similarly

Substituting value of 
we get

<h3>Solving numerical</h3>




Since
In IVquadrant sin angle is negative

Volume of 1/4 gal
= Volume of 2/3 bin
Volume(x gal)
= Volume( 1 bin)
So, (1/4)/(2/3)
= x/1
(1/4)/(2/3)
= x
(1/4)/(3/2)
x = 3/8 (Total balance required to fill the entire bin)
In order to fill the bin, the additional gallons need to be added to the initial 1/4 gallon
Therefore, 3/8 - 1/4 = 1/8 gallons
Hope that helps!!!!
Answer:
125 = 5 * 5 * 5 = 5^3
Step-by-step explanation:
125 is equal to 5 times 5 times 5, and a power is a way to write repeated multiplication, just by saying what number it is and the putting a ^ sign and then saying how many times there is that number. There is 5 three times, so the power is 5^3.
102
the angles are alternate so they add up to 180
180-78=102
hope this helps :)
if you need me to explain more just let me know :)