Answer:
3.5355 inches
Step-by-step explanation:
Area should be same the concentric circle and rest piece .
let's consider the radius of concentric circle as r
so it's area is π r²
area of whole circle is π (5)" ( because diameter is 10 inches)
so the area of rest piece is π (5)² - π r²
π (5)² - π r² = π r²
5² = 2r²
r² = 25/2
r = √(25/2)
r = 3.5355 inches
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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We will need to have two equations here, having x as the missing length. We know that the chairs are in the same amount on each occasion, so each equation should be equal to the other.
This sets up a problem of:
6x + 7 = 4x + 13
7 and 13 being the leftover chairs and 6 and 4 being the rows. Let’s solve for x.
x = 3
Knowing this, we plug in x for one of the equations
6(3) + 7
18 + 7
25
Liam has 25 chairs.
Answer:
the smallest number is the lower bound and the largest number is the upper bound, your inequality would be
8.2 ≤ x ≤ 9.5, where x represents the volume of tennis balls.
