3) Find the area of JUST the wood portion of the frame. This is called a composite figure.

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

The length of given frame is 7 inches

The width of given frame is 5 inches

Assume the thickness of frame is 1 inches (as it is not clear in picture)

Area of square will be 7*5= 35 sq.inch.

Area of hollow surface 5*3= 15 sq.inch.

Area of frame = square area- hollow area= 35-15

Area of wooden portion of frame = 20 sq.inch.

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Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.

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$\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}$