Answer:
r = 10 ft
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>
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 variables</em>
Volume <em>V</em> = 2000π ft³
Height <em>h</em> = 20 ft
Radius <em>r</em> = unknown
<u>Step 2: Solve for </u><em><u>r</u></em>
- Substitute in variables [Volume of a Right Cylinder Formula]: 2000π ft³ = πr²(20 ft)
- [Division Property of Equality] Isolate <em>r</em> term: 100 ft² = r²
- Rewrite: r² = 100 ft²
- [Equality Property] Square root both sides: r = 10 ft
Given a polynomial p(x) with leading coefficient 
and solutions 
, we have
That's why we have to find the solutions first. We complete the square by adding 3 to both sides:
From here, we continue by taking the square root of both sides:
So, the two solutions are
Which yields the factorization
Answer:
-74 10/5
Step-by-step explanation:
first you will write the decimal number in fraction form which will be,
-74.5 = -745/10
now, on diving we will get,
74 as quotient and 5 as remainder, 10 as divisor.
now mixed fraction is, quotient divisor/remainder
the answer will be -74 10/5
•you can solve it to get the fraction you got previously as, =(-74 X10 + 5)/5 you will get the fraction in question.
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<em>Hope </em><em>my </em><em>answer </em><em>helps.</em>
Answer:
graph A
Step-by-step explanation:
A graphing calculator can plot this function for you.
If you divide numerator and denominator by 25, you get ...
r = 1/(0.4 -sin(θ))
This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.
The graph of the hyperbola is the appropriate choice.
Answer:
1/5
Step-by-step explanation:
subtract 2/3 and 3/5
