In JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?
2 answers:
The <em><u>correct answers</u></em> are:
KL = 2*JL; JK = (√3)JL; and JK = ((√3)/2)KL
Explanation:
This is a 30-60-90 right triangle. This type of triangle has a special relationship among the sides. Let the smallest side, across from the 30° angle, be t. This means JL = t.
The hypotenuse of the triangle is two times the length of the smallest side; this means that KL = 2t, which means that KL = 2*JL.
The side of the triangle opposite the 60° angle will be the "medium sized" side; it is equal to √3 times the smallest side, or √3t; this gives us that JK = √3t = (√3)JL.
Comparing JK to KL, we have
The t on top and bottom cancel out, leaving us with the ratio (√3)/2. This means that JK = ((√3)/2)KL.
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The cost to rent the canoe for 7 hours is $ 104
<em><u>Solution:</u></em>
At eagle bay it cost $12 per hour to rent a Canoe
Nate and his friends rented a canoe for 4 hours and paid $68
Let "x" be the number of hours rented
We can solve use the point slope equation
Where, "m" is the rate of change
is the sample point
From given,
m = 12
Therefore,
Thus the linear equation is found
Here, "y" represents the amount paid for "x" hours
<em><u>Find the cost to rent the canoe for 7 hours</u></em>
Substitute x = 7 in linear equation
y = 12(7) + 20
y = 84 + 20
y = 104
Thus cost to rent the canoe for 7 hours is $ 104