First, we need to find how many times 10 can fit into 37.
10*3 = 30
3 is the whole number.
37-30 = 7
7 remaining, so its the numerator.
3 7/10
Answer:
There are 5 couples are sitting in the row
<h3>How many couples are sitting in the row?.</h3>
The given parameters are
Maximum = 6 couples
In the hall, we have the following arrangements
<u>First couple</u>
Right = 2 couples
Left = 1 couple
<u>Another couple</u>
Left = 3 couple
Right = 1 couples
The left of the other couple is the right of the first couple
So, we have the following arrangements:
<u>First couple (1)</u>
Right = 2 couples
Left = 1 couple
<u>Another couple</u>
Right = 1 couples
The total number of couples is
Total = 1 + 2 + 1 + 1
Evaluate the sum
Total = 5
Hence, there are 5 couples are sitting in the row
Read more about combination at:
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3x+2y=5
2x+2y=0
The solutions are: x=5, y=-5
=> The first expression on the left: (1 + tan²)
we know that tangent = sin/cos
so tan² = sin²/cos²
the expression is <u>(1 + sin²/cos²)</u>
=> The second expression on the left: (1 - sin²)
we know that (sin² + cos²) = 1
subtract sin² from each side,
and we have (1 - sin²) = (<u>cos²)</u>
=> Multiply the massaged form of the two expressions:
(1 + tan²) (1 - sin²) = (<u>1 + sin²/cos²)</u> (<u>cos²)</u> = (cos² + sin²) = <em>1 </em>qed
<u> </u>
Answer: Marina should have applied the power of a power rule and multiplied the exponents instead of adding them. The simplified form should be j to the 16th power.
Step-by-step explanation: