The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.
<u>Step-by-step explanation:</u>
- The equation for the maximum speed, s is given by s²= (16/9)x
- where, x is the length of the water line in feet.
It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.
The question is asked to find the maximum speed when the length of the water is 30 feet.
Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.
<u>Now, calculating the maximum speed :</u>
s² = (16/9)(30)
s² = 480 / 9
s² = 53.3
Taking square root on both sides,
s = √53.3
s = 7.3
The maximum speed of a boat at 30 feet length of water is 7.3 nautical miles/hour or knots.
Answer: The space given up by the students is 1/4 of the total space.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
<em> Students must give up half of the exhibit space to the other school.</em> So, we have to divide 5/10 by 2.
5/10 ÷ 2/1 = (5x1 ) / (10 x2 ) = 5 /20
Simplified (by 5) = 1 /4
The space given up by the students is 1/4 of the total space.
Feel free to ask for more if needed or if you did not understand something.
You need another equation to be able to solve this

or you can wirte like x ≈ 2.416
Example 2: x=10
Example 3: x=-1
Example 4: x=35
Example 5: a-b+c=9
Example 6: x=1, x=1/2
Further explanation:
<u>Example 2:</u>

Taking Square on both sides

<u>Example 3:</u>

Subtracting 9 from both sides

Taking Square on both sides

<u>Example 4:</u>

subtracting 8 from both sides

Taking Square on both sides

Subtracting 1 from both sides

<u>Example 5:</u>

Taking Square on both sides

<u>Example 6:</u>

Taking square on both sides

dividng whole equation by 8

Keywords: Radical Expressions, Examples
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