<span>Actually the above equation can be solved by following the below steps to fins the value of x
Step1: 3(x-k)/w=4
Step 2: (3x-3k)/w=4
Step 3: (3x-3k)=4w
Step 4: 3x=4w+3k
So hence therefore by following the above steps we can conclude that the value of x is
Step 5: x=(4w+3k)/3</span>
Answer:
Step-by-step explanation:
Pythagorean theorem,
hypotenuse²= base² + altitude²
base² = hypotenuse² - altitude²
x² = 14² - 9²
= 196 - 81
= 115
x = √115
x = 10.72
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is 
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to

where
r is the radius of the circular base
h is the height of the cylinder
we have


substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have


Simplify
Divide by 8π both sides

square root both sides

Answer:
x = 97
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 side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 72
Leg <em>b</em> = 65
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 72² + 65² = x²
- Exponents: 5184 + 4225 = x²
- Add: 9409 = x²
- Isolate <em>x</em>: 97 = x
- Rewrite: x = 97