Answer:
A. x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<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.
<u>Step 2: Identify Conversions</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 13
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: x² + 5² = 13²
- Isolate <em>x</em> term: x² = 13²- 5²
- Exponents: x² = 169 - 25
- Subtract: x² = 144
- Isolate <em>x</em>: x = 12
Answer:
1018.28
Given -
Diameter of cone = 18 cm
To get the radius divide it by 2 -
Radius, r = 18/2 = 9
height, h = 12 cm
To find -
Volume of cone.
Solution -
Volume = 1/3 hπr²
→ V = 1/3 18 × 22/7 × 9 × 9
→ V = 7128/7
→ V = 1018.28
Therefore, the volume of the cone is 1018.28.
The width of scale drawing is 4 inches
Step-by-step explanation:
The length of room =L1= 18 ft
The width of room =W1= 12 ft
The scale drawing length=L2 = 6 inches
The scale drawing width W2= x
According to rule of three
putting values in equation we get
Re-arranging the equation we get
So the width of scale drawing is 4 inches
Keywords: Algebra
Learn more about algebra at:
#learnwithBrainly
Answer:
4√3
Step-by-step explanation:
For isosoles triangles the legs are congruent
v = u
--------------------
using the pythagorean theorem
(4√6)² = v² + v²
(16 * 6) = 2v²
Divide both sides by 2
16 * 3 = v²
Take the square root of both sides
4√3 = v
Here is the answer in the picture.
