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Katarina [22]
3 years ago
9

How many of each number are there 2, 13, 3, 5, 6, 2, 5, 12, 16, 2, 21, 0, 8, 4, 18, 10, 18, 11, 17, 8, 9, 20, 15, 15, 6, 3, 20,

18, 11, 11, 11
Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

Answer:

Step-by-step explanation:

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(3cosx-4sinx) + (3sinx+4cosx) = 5
Ksenya-84 [330]
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º      (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º

The solutions when  0≤x≤360º are:  36.87º and 306.87º.


3 0
2 years ago
When CPI data is collected, what does the index value represent?
gladu [14]

Answer:

When CPI data is collected, what does the index value represent. Prices used to compute CPI are collected during the entire month, and that data is published monthly. So, the index value represents an estimate of the price level for the month as a whole, rather than a specific date.

Step-by-step explanation:

MARK ME BRAINLIEST: )

THANK YOU!!!

7 0
2 years ago
What is 20(21+68)-100+6
liberstina [14]
The answer to this question is 1686.
5 0
3 years ago
Plsss help this is a math problem
Darina [25.2K]
There are 4 terms in the expression
5 0
3 years ago
Read 2 more answers
Shane downloaded 7 songs in 3 minutes. At this rate how many songs can he download in 1 1/2 hours
ch4aika [34]
He can download 210 songs in 1 1/2 hours. First, you find how many minutes is 1 1/2 hours which is 90, the divide 90/3 and it is 30. So, all you need to do is multiply 30 and 7 together and you get your rate
8 0
3 years ago
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