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2 years ago

What is the circumference of a dinner plate with a radious of 4.5 inches

Mathematics

1 answer:

____ [38]2 years ago

4 0

Answer:

28.27 inches

Step-by-step explanation:

-Circumference of a circle is calculated using the formula:

$C=\pi D\\\\=2\pi r$

#Substitute for radius in the formula to solve for C:

$C=2\pi r\\\\=2\pi \times 4.5 \\\\=28.27 \ in$

Hence, the plate's circumference is 28.27 inches

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Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

7 0

2 years ago

The area of juan's garden after he adds a border x feet wide is equal to (4 + 2x)(6 + 2x). which polynomial represents the area

JulsSmile [24]

(4 + 2x)(6 + 2x) =
4(6 + 2x) + 2x(6 + 2x) =
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4x^2 + 20x + 24 <==

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3 years ago

Will and John sell lemonade at a lemonade stand. After an hour, they have taken in $4 for a total of 8 cups of lemonade. What is

Murljashka [212]

Answer:

The answer is A - $0.50 per cup

Step-by-step explanation:

If you divide the $4 by the 8 cups you get $0.50

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2 years ago

Walt received a package that is 2 1/3 inches long, 6 3/4 inches high, and 8 1/2 inches wide. What is the surface area of the pac

grin007 [14]

Add whole numbers: 2 + 6 + 8 = 16
Add fractions:

= 1/3 + 3/4 + 1/2

= (8 + 18 + 12) ÷ 24

= 38/24 or 1 14/24 or simplified to 1 7/12

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3 years ago

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Inessa [10]

If I'm doing this correctly, you would need to multiply everything inside the parenthesis by 8. So it would be 8x-24y·8x+24y. I'm sorry if that's not right, but that is my interpretation of the problem. Hope I was of some assistance :)

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2 years ago

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What is the circumference of a dinner plate with a radious of 4.5 inches​

What is the circumference of a dinner plate with a radious of 4.5 inches