Answer:
a=9
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
a^2 +40 ^2 = 41^2
a^2 + 1600 = 1681
a^2 = 1681-1600
a^2 = 81
Take the square root of each side
sqrt(a^2) = sqrt(81)
a = 9
Answer:
Step-by-step explanation:
The capacity of the tank in gallons is 24 gallons.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
It is given in the question that
When four gallons are added to a tank that is one-third full
the tank is then one-half full.
Let the capacity of the tank is x gallons
The equation can be formed for the capacity of the tank as
(1/3)x +4 = (1/2)x
(1/3)x -(1/2)x = -4
(1/6)x = 4
x = 24 gallons.
Therefore the capacity of the tank in gallons is 24 gallons.
To know more about Equation
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<span>3(a+(6x)y) was clearly multiplied out as seen by the 3a and 18xy, so the distributive property was used there. In addition, the commutative and associative properties state that you can rearrange sums, so those were used too </span><span />
