Answer:
a) 16 in³
Step-by-step explanation:
Vol (cyl) = πr²h = 54
Vol (cone) = πr²h/3
54/3 = 16
Answer:
25 in
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>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg a = 24
Leg b = 7 in
Leg c = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
- Evaluate exponents: 576 + 49 = x²
- Add: 625 = x²
- [Equality Property] Square root both sides: 25 = x
- Rewrite/Rearrange: x = 25
Answer:
58.33 lbs.
Step-by-step explanation:
There are already 25 lbs of alloy of copper
Of this 25 lbs, 20% is pure i.e. copper content = 25(0.5) = 5lbs.
Now available is
Copper Other metals
5 lbs 20 lbs
Let x lb of 30% copper is added.
Then new alloy will have 5+0.3x lb copper in total of 25+x lbs
Percentage pure = 
Simplify to get
Hence answer is 58.33 lbs should be added.
3.75 x 0.038 = 0.1425
2000 pounds in a ton
2000 x 0.1425 = 285
It weighs 285 pounds
Answer:
m or slope=3/2
Step-by-step explanation:
