Answer:

Step-by-step explanation:
Pythagorean theorem
hip² = op² + ad²
17² = x² + 8²
x² = 17² - 8²



Answer:
290
Step-by-step explanation:
60% of ⅔X = 174
60/100 × 2/3 × X = 174
⅖X = 174
X = 435
⅔X = ⅔×435
290
290 cars are left in the parking,
145 cars left
Answer:
(a) 9 buildings
(b) 2^n -1
Step-by-step explanation:
The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.
(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.
For 500 students, 9 buildings are required.
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(b) The maximum number of students for n buildings is ...
2^n -1