Using the following table. What is the probability of selecting a sandwich and chip combination that has BBQ chips?
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We need to find the base x in the following equation:
First, lets convert 365 from base 7 to base 10. This is given by
where the upperindex denotes the position of eah number. This gives
that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:
where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives
Now, we have all number in base 10. Then, our first equation can be written in base 10 as
For simplicity, we can omit the 10 and get
so, we can solve this equation for x. By combining similar terms. we have
and by moving 197 to the right hand side, we obtain
Finally, we get
Therefore, the solution is x=5
The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
<h3>What is the triangle?</h3>The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
Let's suppose the angle m∠Q is A
So applying law of cosine:
CosA = 0.859
A = 30.75 ≈ 30.8 degree
Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
Learn more about the triangle here:
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