Jake's final grade in his science class is calculated by finding the mean of his scores for six project reports. The score Jake
received on his first five reports are 66,80,88,82, and 72.
What is the lowest-possible score jake can earn his last report in order to have at least an 80 for his final grade?
What is the lowest-possible score jake can earn his last report in order to have at least an 80 for his final grade?
1 answer:
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1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.
2. By the Pythagorean theorem,
3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.
4. The area of parallelogram is