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Colt1911 [192]
3 years ago
11

The circumference of a circle is 6.28. What is the area of the circle?

Mathematics
1 answer:
saw5 [17]3 years ago
5 0
    C = 2πr
6.28 = 2(3.14)(r)
6.28 = 2(3.14r)
6.28 = 6.28r
6.28     6.28
     1 = r

A = πr²
A = (3.14)(1)²
A = 3.14(1)
A = 3.14 units²
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Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w
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Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

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using the property of log function that

logₐ(b) = \frac{\log(b)}{\log(a)}

thus,

Therefore, applying the above property, we get

⇒ \frac{\log(3125)}{\log(5)}   (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒  \frac{\log(5^5)}{\log(5)}

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log(aᵇ) = b × log(a)

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log₅(3125) = 5

8 0
3 years ago
6 A local theater charges $26 for each adult ticket and
Alina [70]
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8 0
2 years ago
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An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

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Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

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When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

We measure these distances from Jim's house.

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8 0
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polet [3.4K]

Answer:

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