Approximately 186in^3 was released from the water balloon
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Multiplication Property of Equality] Cross-multiply:
- [Division Property of Equality] Divide 5 on both sides:
The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3
When you say initial value I'm assuming you mean the y-intercept
In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula
y - 8 = -3(x - 0)
y = -3x + 8
The y-intercept is when x = 0 so,
y = -3(0) + 8
Therefore y = 8
The answer is:
a = c ÷ 2
b = P - a - c
The perimeter is the sum of all sides of a polygon. The perimeter of the triangle is:
P = a + b + c
where
P - perimeter of the triangle,
a, b, c - sides of the triangle.
It is given:
P = 14.5 cm
c = 6.2 cm
If, t<span>he longest side (c) is twice that of the shortest side (a), then
c = 2a
</span><span>Therefore, the equation that can be used to find the length of the shortest side is <u>a = c ÷ 2</u>.</span><span>
</span>⇒ a = c ÷ 2 = 6.2 cm ÷ 2
⇒ a = 3.1 cm
By knowing two sides (c and a) and perimeter (P), we can calculate the length of the third side (b).
If P = a + b + c, then <span>the equation that can be used to find the length of the side b is <u>b = P - a - c</u>.
</span>⇒ b = P - a - c = 14.5 cm - 6.2 cm - 3.1 cm
⇒ b = 5.2 cm<span>
</span>
