Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so

we have

Find the height of the right triangle applying the Pythagorean Theorem


The radius of the semicircle is half the height of triangle

substitute in the formula


Ishaan to have a score of 97 on the next exam have an overall average of 85
What is the mean of exam scores?
The mean of exam scores is the sum of the scores divided by the number of exams taken, more like an average of all scores
Initially, average score on 4 exams is 82
average=total score/number of exams
average score on 4 exams=82
total score =unknown=assume it is
number of exams=4
82=x/4
x=4*82
x=328
In order to have an overall average score of 85, we would sum the total score of 4 exams and the fifth exam and divide by 5 exams
85=(328+y)/5
85*5=328+y
425=328+y
y=425-328
y=97
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Answer:
2b - 14
Step-by-step explanation:
2(b – 7)
2b - 14
Answer:
Step-by-step explanation:
The 9th term is the next-to-last term, where the left term of the binomial is raised to the first power, the right term of the binomial is raised to the 8th power (9-1=8), and the multiplier is 9C8 = 9!/(8!·1!) = 9. This product is ...
9·(3x)^1·(-2y)^8 = 6912xy^8
If the machine can pack 50 boxes a minute, that would mean you have to multiply 50 x 25 which gives you your answer of 1,250