8m-6= 2(4m-3)
all you needed to do was to divide 2 into every
term
Hope this helps
Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
Answer:
17 inches
Step-by-step explanation:
The volume of the sphere is 
Explanation:
Given that the diameter of the toy ball is 12.5 inches
We need to determine the volume of the toy ball.
The radius of the toy ball is given by



Thus, the radius of the toy ball is 6.25 in
The volume of the sphere can be determined using the formula,

Substituting the values, we get,

Multiplying, we get,

Substituting
, we have,

Simplifying, we get,

Thus, the volume of the sphere is 