To find the perimeter of Lorenzo's patio, you need to understand that perimeter is a measurement of distance around a sided figure.
We know the side lengths are 12 feet, 14 feet, 12 feet, and 14 feet because it is a rectangle.
Add all these together to find the total distance around.
12 + 12 + 14 + 14 or (12 x 2) + (14 x 2) = 52 feet
The perimeter of Lorenzo's patio is 52 feet.
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<u><em>Answer:</em></u>sin (C)
<u><em>Explanation:</em></u><u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>

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cos (theta) = </span>

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tan (theta) = </span>

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<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>

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<u>Second option:</u>5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>

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Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.
Hope this helps :)
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Answer:
8 and 4
Step-by-step explanation:
Answer:
A- 0.125
B- Success of climbing mount Everest is independent of age.
Step-by-step explanation:
A.
Let x denote success in climbing Mount Everest
Let y denote the climber is at least 60 years old.
Therefore,
P(x) = 0.31
P(y) = 0.04
P( x ∩ y) = 0.005
Probability of success when the climber is at least 60 years old =
P( x ∩ y) ÷ P(y) = 0.005 ÷ 0.04 = 0.125.
B.
The success rate is independent of age as there are both success and failure rates across board on the scale of ages of climbers.
<h3>
Answer: y = 7</h3>
Work Shown:

Explanation:
I replaced every x with -1. Then used the order of operations (PEMDAS) to simplify. Keep in mind that
and not 