<u>Area of triangle = (1/2) × Base × Height</u>
Area of bigger triangle = (1/2) × 15 cm × 10 cm
Area of bigger triangle = (1/2) × 150 sq. cm
Area of bigger triangle = 75 sq. cm
Similarly,
Area of smaller triangle = (1/2) × 12 cm × 5 cm
Area of smaller triangle = (1/2) × 60 sq. cm
Area of smaller triangle = 30 sq. cm
Area of shaded region = Area of bigger triangle - Area of smaller triangle
Area of shaded region = 75 sq. cm - 30 sq. cm
Area of shaded region = 45 sq. cm
<u>Answer</u><u> </u><u>:</u>
Area of shaded region in sq. cm = 45
<h3>
Answer: Choice C) -2 & 1/8</h3>
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Work Shown:
5 & 5/8 = 5 + 5/8
-5 & 5/8 = -(5 & 5/8) = -(5 + 5/8) = -5 - 5/8
So,
( -5 & 5/8 ) + ( 3 & 1/2 )
( -5 - 5/8 ) + ( 3 + 4/8 )
( -5+3 ) + ( -5/8+4/8 )
-2 + (-1/8)
-(2 + 1/8)
-(2 & 1/8)
-2 & 1/8
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Alternative Method
We could convert each mixed number to decimal form
-5 & 5/8 = -5-5/8 = -5.625
3 & 1/2 = 3+1/2 = 3.5
( -5 & 5/8 ) + ( 3 & 1/2 ) = -5.625+3.5 = -2.125
Then convert back to mixed number form
-2.125 = -2 & 125/1000
-2.125 = -2 & (1*125)/(8*125)
-2.125 = -2 & 1/8
Based on the given values above, if you purchase a new sports car 40 years ago at a cost of <span>$5,167.55 and sold it for $97,500, this would mean that the annual rate of return you earned on the vehicle is 5%. Hope this answers your question. Have a great day!</span>
The distribution lies within one of the standard of deviation of the mean so <span>68% </span>
The distribution lies within two of the standard of deviations of the mean so 95%
The distribution lies within three of the standard of deviations of the mean so 99.7%
