Miranda has 55 feet of fencing. She wants to use all the fencing to create a rectangular garden. The equation 2l+2w=55, where l
is the length of the garden and w is the width, models the scenario. This equation can be used to find on dimension of the garden if the other dimension is known. If Miranda makes the garden 17.5 feet long, how wide should she make it? PLEASE HURRY
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<h3>Answer: angle B = 47 degrees</h3>
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Work Shown:
Use law of cosines to find angle B
b^2 = a^2 + c^2 - 2*a*c*cos(B)
9^2 = 6^2 + 12^2 - 2*6*12*cos(B)
81 = 36 + 144 - 144*cos(B)
81 = 180 - 144*cos(B)
81 - 180 = -144*cos(B)
-99 = -144*cos(B)
-144*cos(B) = -99
cos(B) = (-99)/(-144)
cos(B) = 0.6875
B = arccos(0.6875)
B = 46.5674634422102
B = 47 when rounding to the nearest whole number
Make sure your calculator is in degree mode.
arccos is the same as inverse cosine often labeled on calculators.
Answer:
The difference between 12 and a number ➜ 12 - <em>p</em>
The sum of a number and 12 ➜ 12 + <em>p</em>
The quotient of a number and 12 ➜