Answer:
h = 2.86479 cm
General Formulas and Concepts:
<u>Symbols</u>
<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>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>V</em> = 81 cm³
<em>r</em> = 3 cm
<u>Step 2: Solve for </u><em><u>h</u></em>
- Substitute in variables [Volume of a Cylinder Formula]: 81 cm³ = (3.14)(3 cm)²h
- Evaluate exponents: 81 cm³ = (3.14)(9 cm²)h
- Multiply: 81 cm³ = (28.2743 cm²)h
- [Division Property of Equality] Divide 28.2743 cm² on both sides: 2.86479 cm = h
- Rewrite: h = 2.86479 cm
Answer:
Step-by-step explanation:
a 141.61
b 8.64
c
Im bored
Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 <u>CORRECT</u>
Answer:
3. 4,715 (estimate: 5,000)
4. 3,672 (estimate: 3,300)
5. 18,040 (estimate: 16,000)
6. 9,060 (estimate: 9,000)
Explanation:
It is reasonable if your answer is somewhat close to the estimate.
1. Only true to division. Most likely though when multiplying it's more helpful to have the denominators the same.
2. True
3. False
4. True