The sides of a parallelogram are 40 and 70 feet long, and the smaller angle has a measure of 36.find the length of the longer diagonal to the nearest whole number

105 feet.

Step-by-step explanation:

The longer diagonal is opposite the longer angle in the parallelogram.

The longer angle = 180 - 36 = 144 degrees. (Reason: he same side angles  are supplementary).

So, by the law of cosines:

x^ 2 = 40^2 + 70^2 - 2*40*70 cos 140    where x = the diagonal.

x^2 =  11030.50

x = 105.03 feet.

you have 6 cupcakes

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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