Olivia is hosting a dinner party in her garden. She has hired caterers to serve dinner. The caterers charge a fee to set-up the
dinner and $3 per person attending. The cost for 10 dinner guests is $70. Write an equation showing the cost of the dinner party as a function of the number of guests
1 answer:
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<u>Answer: </u>
sec squared 55 – tan squared 55 = 1
<u>Explanation:</u>
Given, sec square 55 – tan squared 55
We know that,
And,
where Ө is the angle
Substituting the values
Solving,
According to Pythagoras theorem,
Putting this in the equation;
squared 55 - tan squared 55 =
Therefore, sec squared 55 – tan squared 55 = 1
The question is an illustration of perimeters.
The amount of patio to remove to install the pool is 8 feet.
From the question, we have:
The perimeter of the patio is:
A 1ft walkway means that;
1ft would be subtracted from both sides of the patio before installing the pool
So, the perimeter of the patio in terms of the length of the pool is:
Equate both expressions
Divide both sides by 4
Subtract 2 from both sides
So, the perimeter of the pool is:
The amount of patio to remove is:
So, we have:
Hence, 8ft of the patio would be removed to install the pool
<em>See attachment for illustration</em>
Read more about perimeters at:
