Answer:
Let's assign the variable x to cosA. The expression then becomes x² - 5x + 6. To factorize this we need to find two numbers that have a sum of -5 and a product of 6; these numbers are -2 and -3 so the expression becomes (x - 2)(x - 3). Since we know that x = cosA the final answer is (cosA - 2)(cosA - 3).
Stan worked 2h days this week
Step-by-step explanation:
The given is:
- Stan drives 30 minutes a day commuting to and from work
- He drove h hours this week
We need to find how many days he worked
∵ Stan drives 30 minutes a day
∵ 1 hour = 60 minute
∴ 30 minutes =
hour
∴ Stan drives
hour a day
∵ He drove h hours this week
- To find the number of days that he worked divide the total
hours he drove in this week by the hour he drives in a day
∴ The number of days = h ÷ 
- Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∵ The reciprocal of
=
= 2
∴ The number of days = h × 2
∴ The number of days = 2h
Stan worked 2h days this week
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Answer: 30× 4 = 120
120÷4 = 30
Step-by-step explanation:
Answer:
15504 different groups
Step-by-step explanation:
We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.
The formula for combination is:
C(n, p) = n! / (p! * (n-p)!)
In this case, we have n = 20 and p = 5, so:
C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504
So we have 15504 different groups.
Answer:
Step-by-step explanation:
8 2
16 4
24 6
32 8
40 10
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