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3 years ago

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

Mathematics

1 answer:

Alenkinab [10]3 years ago

8 0

Answer:

(81 pi)/4 or approximately = 63.62 ft^2

Step-by-step explanation:

As it is a circle, the area for a circle is pi*radius^2, where the radius is 4.5 ft, so area = 4.5^2 * pi.

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How to solve logarithmic equations as such

Serga [27]

$\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\\\ \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \log_2(x-1)=\log_8(x^3-2x^2-2x+5) \\\\\\ \log_2(x-1)=\log_{2^3}(x^3-2x^2-2x+5) \\\\\\ \log_{2^3}(x^3-2x^2-2x+5)=\log_2(x-1) \\\\\\ \stackrel{\textit{writing this in exponential notation}}{(2^3)^{\log_2(x-1)}=x^3-2x^2-2x+5}\implies (2)^{3\log_2(x-1)}=x^3-2x^2-2x+5$

$\bf (2)^{\log_2[(x-1)^3]}=x^3-2x^2-2x+5\implies \stackrel{\textit{using the cancellation rule}}{(x-1)^3=x^3-2x^2-2x+5} \\\\\\ \stackrel{\textit{expanding the left-side}}{x^3-3x^2+3x-1}=x^3-2x^2-2x+5\implies 0=x^2-5x+6 \\\\\\ 0=(x-3)(x-2)\implies x= \begin{cases} 3\\ 2 \end{cases}$

5 0

3 years ago

I need help remembering the steps too solve 6x +9 =12

svp [43]

Answer:

x= 1/2

Step-by-step explanation:

6x+9=12

Step 1: Subtract 9 from both sides.

6x+9−9=12−9

6x=3

Step 2: Divide both sides by 6.

6x/6= 3 /6

And Your Answer Will Be:

x= 1/2

3 0

3 years ago

Please help ill give brainlist

nordsb [41]

Answer:

c. m∠2 = m∠5

Step-by-step explanation:

We can check 1 by 1 and find the false one.

For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.

For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.

For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.

For answer d, measure 2 and 6 are corresponding angles, so that's also not false.

Therefore, the answer must be c.

7 0

3 years ago

A 1992 poll conducted by the University of Montana classified respondents by gender and political party, as shown in the table b

MAVERICK [17]

The right answer for the question that is being asked and shown above is that: "B. X^2 = 5.85 p = 0.88." The answer that would be the appropriate type of test to investigate our hypothesis is that <span>"B. X^2 = 5.85 p = 0.88." This is the correct answer.</span>

7 0

2 years ago

What pattern exists in the three places in each period?

alukav5142 [94]

Answer:

the pattern is (hundreds, tens, ones)
963 thousand 104

Step-by-step explanation:

a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.

b) The given expanded form adds up to give ...

963,104

Based on the above discussion, the name of this number is ...

"nine hundred sixty-three thousand one hundred four"

Using digits to help write this, it would be 963 thousand 104.

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3 years ago