Answer:
x=4
Step-by-step explanation:
We can find the length of RT by using the Pythagorean theorem
sin theta = opposite side/ hypotenuse
sin 60 = 2 sqrt(3)/ RT
Multiply each side by RT
RT sin 60 = 2 sqrt(3)
Divide by sin 60
RT = 2 sqrt(3)/ sin 60
RT = 4
Then
tan theta = opposite side/ adjacent side
tan 45 = x/RT
tan 45 = x/4
4 tan 45 = x
4 = x
Answer:
x=2
Step-by-step explanation:
-3x+7=1
subtract 7 from both sides: -3x+7-7=1-7
simplify: -3x=-6
divide both sides by -3:
simplify: x=2
Step-by-step explanation:

so the complimentary solution is

solving for particular solution we get

to find the values of constants a,b we put values in main equation and

as g(x)=sin x
so above equation yields us

so writing the solution

using IC's to get the values for 

solving for upper range

The Answer Is 90
Write 45% as 45100.
45100 of 200 = 45100 × 200.
Therefore, the answer is 90. If you are using a calculator, simply enter 45÷100×200 which will give you 90 as the answer.
<h3>
Answer: 163,185</h3>
This is one single number. The number is slightly larger than 163 thousand.
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Explanation:
Consider four slots labeled A,B,C,D
We have....
- 46 choices for slot A
- 45 choices for slot B
- 44 choices for slot C
- 43 choices for slot D
There's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.
If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.
However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185
This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.