To determine the perimeter of the rectangular flower garden, we need to know the measurement of the sides of the rectangle so we have to know the length and the width. The given measurements are the area, and the relation of the width and the length. From these, we generate equations to calculate the width and the length. We do as follows:
Area = Length x Width
where length = x ft
width = x - 4 ft
area = 32 ft^2
32 = x (x -4)
32 = x^2 - 4x
Solving for the positive value of x,
x = 8 ft = length
width = x -4 = 8 - 4 = 4 ft
Perimeter = 2(length) + 2(width) = 2(8) + 2(4) = 24 ft
To answer this question, you need to find the area of the divided land that the farmer want. Since it was a square with 1/4 mile length then the area would be:
1/4 mile * 1/4 mile= 1/16 miles square.
Then you can divide the total area of land the farmer buys, with the area of divided land. The calculation would be: (1/2 square miles) / (1/16 square miles)= 16/2=8 pieces of field
Answer:
21) x = 0
23) x = 7
Step-by-step explanation:
In a parallelogram, the opposite sides are congruent. Using this fact, we can create equations for both problems.
21)
Subtract 18.
Divide by 2.
23)
Add 3.
Divide by 2.
<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:
Your answer.
240
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Step-by-step explanation:
