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kozerog [31]
3 years ago
8

help ! Find the volume of cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and

round your answer to the nearest hundredth.( only numerical answers ! )
Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0
Diameter(d)=8 in.
radius(r)= d/2= 4 in.
height(h)= 3r = 3(4) = 12 in.

Volume=\pi<u /><em>r </em>² <em>h
           =</em>
(3.14)(4)²(12)
           =(3.14)(16)(12)
           =602.88 in.
    
       Therefore, the volume of the cylinder is 602.88 in.


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What’s the derivative of x^2 - 3
geniusboy [140]

Answer:

\displaystyle \frac{dy}{dx} = 2x

General Formulas and Concepts:

<u>Calculus</u>

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Derivative Property [Addition/Subtraction]:                                                         \displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]  

Basic Power Rule:

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = x^2 - 3

<u>Step 2: Differentiate</u>

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8 0
3 years ago
Two angles are supplementary. The measure of the larger angle is 20 degrees
rjkz [21]

Based on the given parameters of the question the correct angles are as follows;

The measure of the large angle is <u>155°</u>, and the measure of the small angle is <u>25°</u>

The reasons the above values are correct are given as follows:

The given parameters are;

The properties of the two angles = Supplementary angles (sum of 180°)

The measure of the larger angle = 7 × The measure of smaller angle - 20°

Required:

To find the measure of each angle algebraically

Solution:

An algebraic equation can be described as a mathematical expression having an equal to sign that relates variables representing unknown values or quantities

Let <em>L</em>, represent the measure of the larger angle and let <em>S</em>, represent the measure of the smaller angle, we have;

L + S = 180°...(1)

L = 7 × S - 20°...(2)

Therefore;

Plugging in the value of <em>L</em> from equation (2) in equation (1) gives;

L + S = 7 × S - 20 + S = 180

7·S + S - 20 = 180

Adding 20 to both sides gives;

7·S + S - 20 + 20  = 180 + 20 (addition property of equality)

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S = \dfrac{200}{8} = 25

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The measure of the large angle, L = <u>155°</u>

Learn more about the algebraic equations here:

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2 years ago
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anzhelika [568]

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8 0
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Marat540 [252]

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