The 3 consecutive integers are
n
n + 1
n + 2
Then
n2 + (n + 1)2 + (n + 2)2 = 194
n2 + (n2 + 2n + 1) + (n2 + 4n + 4) = 194
3n2 + 6n + 5 = 194
3n2 + 6n - 189 = 0
n2 + 2n - 63 = 0
(n - 7)(n + 9) = 0
n = 7 or -9
If n = 7, the 3 integers are 7, 8, and 9
If n = -9, the 3 integers are -9, -8, and -7
Mark brainliest please
Hope this helps you
20/28 are female. Since there are 8 male students you just have to subtract 28-8 and you'll get the female total.
If the lot is 5 times more than there are 6 amounts that are the same that add up to be 212,400. so 212,400/6 is 35,400. since the house is 5 times more than the lot we take 35,400 and multiply it by 5 which is 177,000 the value of the house. We can check our answer by adding 35,400 to our 177,000 and we get 212400
Answer:
1/2sin(6x) + 1/2sin(2x)
Step-by-step explanation:
You can look up the formulas for the product identities for sine and cosine, or you can guess and check using a graphing calculator. I did the calculator solution first (see the first attachment), then looked up the identities so I can tell you what they are (see the second attachment).
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These identities are based on the sum and difference angle identities:
sin(α+β) +sin(α-β) = (sin(α)cos(β) +sin(β)cos(α)) + (sin(α)cos(β) -sin(β)cos(α))
= 2sin(α)cos(β)
Dividing by 2 gives the identity of interest in this problem:
sin(4x)cos(2x) = (1/2)(sin(4x +2x) +sin(4x -2x))
sin(4x)cos(2x) = (1/2)(sin(6x) +sin(2x))
0.09 -->0.1
and
0.11--> 0.1
a trick to remember:
5 or more raise the score, less than 5 take a dive
means if the the number next to the desired place value to be rounded is greater than 5, you raise the number, if it is less than 5 you lower it
