Answer:
<A =21
<B = 84
<c = 75
Step-by-step explanation:
<A =x
<B = 4x
<C =5x-30
The sum of A+B+C = 180
x+ 4x + 5x-30 = 180
Combine like terms
10x -30 = 180
Add 30 to each side
10x-30+30 = 180+30
10x = 210
Divide by 10
10x/10 = 210/10
x= 21
Since x =21 we can find the value of the angles
Substituting x into the equations for angles A, B and C
<A =21
<B = 4x = 4*21 = 84
<C = 5x-30 = 5*21-30 = 105-30 = 75
Answer:
A) 3 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Surface Area of a Sphere: SA = 4πr²
- Diameter: d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
SA = 23 in²
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute [SAS]: 23 in² = 4πr²
- Isolate <em>r </em>term: 23 in²/(4π) = r²
- Isolate <em>r</em>: √[23 in²/(4π)] = r
- Rewrite: r = √[23 in²/(4π)]
- Evaluate: r = 1.35288 in
<u>Step 3: Find </u><em><u>d</u></em>
- Substitute [D]: d = 2(1.35288 in)
- Multiply: d = 2.70576 in
- Round: d ≈ 3 in
Answer:
242.975609756
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
36 divide by 3 times 4
= 36 ÷ 3 x 4 (By PEDMAS, it doesnt matter which operation you do first, but we'll choose to do division first)
= (36 ÷ 3) x 4
= 12 x 4
= 48
