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3 years ago

How can you determine whether two circles are congruent?

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Answer:

If the diameter or radius of one circle is the same as another circle they are congruent.

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a fireplace contains 46 bricks along its bottom row. if each row above decreases by 4 bricks, what is the function that shows th

m_a_m_a [10]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=46\\
d=-4\\
n=12
\end{cases}
\\\\\\
a_{12}=46+(12-1)(-4)$

4 0

3 years ago

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Each Saturday the gym holds 45 minute yoga classes. The weekday yoga classes last 30 minutes. The number of weekday classes vari

yanalaym [24]

For this case we have that the total minutes spent in yoga classes last week was 165.

Subtracting the 45 minutes of the Saturday day we have:

$165-45 = 120$

Those 120 minutes were distributed in the weekly yoga classes

where each lasted 30 minutes.

$\frac {120} {30} = 4$

So, 4 week yoga classes were held

ANswer:

4 week yoga classes were held

6 0

3 years ago

Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

7 0

4 years ago

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Give two of your own examples of square roots that are irrational numbers and two rational numbers .

Vikentia [17]

Irrational

$\sqrt{2}$

$\sqrt{3}$

Rational:

$\sqrt{1}$

$\sqrt{4}$

6 0

3 years ago

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What is the decimal equivalent of 1/3

Vesna [10]

Answer:

Step-by-step explanation:

1/3 0.333 repeated 0.333 times 100 =33.333…%

4 0

3 years ago

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