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murzikaleks [220]
1 year ago
9

Find each angle in radians without using a calculator need some help with it, thanks!

Mathematics
1 answer:
Sergio039 [100]1 year ago
8 0
\begin{gathered} \frac{\pi}{4}radians\text{ is a special angle such Tan}\frac{\pi}{4}radians\text{ =1} \\ so\text{ }\theta\text{ is equal to }\frac{\pi}{4\text{ }}radians \end{gathered}

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Identify the fraction that is equivalent to 3/8<br> A. 15/32<br> B. 12/32<br> C. 12/24<br> D. 9/32
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Answer:

The answer is B

Step-by-step explanation:

plz mark brainliest i answered first

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The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacen
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Answer:

\fbox{\begin{minipage}{4em}36 ways\end{minipage}}

Step-by-step explanation:

<em>Step 1: Re-state the problem in an easier way to set up a permutation problem</em>

"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"

The series above can be represented again, in form of:

7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1

with a, b, c, d, e, f are non-negative integers.

=> 3 numbers are multiply of 7 plus 1

=> 3 numbers are multiple of 7 minus 1

<em>Step 2: Perform the counting:</em>

For the 1st number, there are 6 ways to select

To satisfy that each pair of numbers creates a multiple of 7, then:

For the 2nd number, there are 3 ways left to select

For the 3rd number, there are 2 ways left to select

For the 4rd number, there are 2 ways left to select

For the 5th number, there are 1 way left to select

For the 6th number, there are 1 way left to select

=> In total, the number of possible ways to select:

N = 6 x 3 x 2 x 2 x 1 x 1 = 72

However, these numbers are located around a circle, each option is counted twice.

=> The final number of possible ways:

N = 72/2 = 36

Hope this helps!

:)

3 0
3 years ago
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Step-by-step explanation:


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Miguel's sister, Tara, has a checking account. Her bank charges a monthly
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True

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