Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm
Answer:
Step-by-step explanation:
c and d
Answer: 129.33 g
Step-by-step explanation:
Answer:
A ≈ $500
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Compounded Interest Rate: A = P(1 + r/n)ⁿˣ
- A is final amount
- P is initial (principle) amount
- r is rate
- n is number of compounds
- x is number of years
Step-by-step explanation:
<u>Step 1: Define</u>
P = 230
r = 0.063
n = 365
x = 12
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute: A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
- Divide: A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
- Multiply: A = 230(1 + 0.000173)⁴³⁸⁰
- Add: A = 230(1.00017)⁴³⁸⁰
- Exponents: A = 230(2.1296)
- Multiply: A = 489.808
Answer:
A). slope = -1/12 y-intercept = 3/2
Step-by-step explanation:
y = -1/12x + b
2 = -1/12(-6) + b
2 = 1/2 + b
3/2 = b
y = -1/12x + 3/2
