Answer:
magazine sale: 102% of 240 is 244.8
0/ least
Car wash: 112% of 250 is 280/ middle
raffle: 143% of 200 is 286/ greatest hope this helps pls mark brainliest
:3
9514 1404 393
Explanation:
You can use the addition property of equality to "move" a term from one side of the equation to the other. For example, if you want to move the cos²α term, you can add cos²α to both sides of the equation:
sin²α -cos²α +cos²α = 2sin²α -1 +cos²α
When this is simplified, it becomes ...
sin²α = 2sin²α +cos²α -1 . . . . . . the cos²α term is gone from the left
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The equation you have is an identity. The left and right sides are equal for any value of α. When you have such an equation as a trig problem, you are often being asked to prove it is true. The way you do that is to make use of other trig identities to transform one side so that it matches the other side.
Here, you can use the trig identity ...
sin²α +cos²α = 1
If you use this to substitute for 1 on the right, you have ...
sin²α - cos²α = 2sin²α - (sin²α +cos²α)
Now, when you collect terms, you get ...
sin²α - cos²α = 2sin²α - sin²α -cos²α . . . eliminate parentheses
sin²α - cos²α = sin²α - cos²α . . . . . proof of your identity
Answer:
27720
Step-by-step explanation:
Denote by the binomial coefficient "n choose k". Given k<n, is the number of ways of choosing k elements from a set of n elements (the order in which we choose the elements doesn't matter).
First, we can form the group of 3 students. This is done by choosing 3 students from the class of 12 students, so it can be done in ways. We can't repeat students, then we must form the other groups from the remaining 9 students. If we next form the group of 4 students, there are ways of choosing it. Now, there remain 5 students without a group, so they have to conform the group of 5 and this can only be done in 1 way. By the multiplication principle, the number of ways of forming the groups is
Answer: 8,263
Step-by-step explanation: The number 8,263 lies between 8,260 and 8,270 on the number line. Label all the other tick marks between 8,260 and 8,270. Is 8,263 closer to 8,260 or 8,270 on the number line? Which hundred is 8,263 nearest to on the number line? Plot 8,200 and 8,300 on the two outermost spots on the number line below. Then plot 8,263 to prove your answer. Which thousand is 8,263 nearest to on the number line? Plot 8,000 and 9,000 on the two outermost spots on the number line below. Then plot 8,263 to prove your answer. 8,263 is closest to 8,260. In other words, 8,263 rounded to the nearest ten is 8,260. 8,263 is closest to 8,300. In other words, 8,263 rounded to the nearest hundred is 8,300. 8,263 is closest to 8,000. In other words, 8,263 rounded to the nearest thousand is 8,000.