What is 10⁰ + 10¹ + 10² equal to
2 answers:
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Answer:
Step-by-step explanation:
We are given that:
Where both A and B are positive acute angles.
And we want to find he value of sin(A-B).
Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.
Then by the Pythagorean Theorem, the hypotenuse is:
Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.
Then by the Pythagorean Theorem, the adjacent is:
Therefore, we can conclude that:
So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.
For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.
We can rewrite sin(A-B) as:
Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)
Evaluate:
Answer:
<h2>See the explanation.</h2>Step-by-step explanation:
(a)
= A.
In the above matrix A, the columns refers the three type of books and the rows refers the from which stores the books are been sold.
The numbers represents the corresponding sales in the month of January.
The sale is same for the 6 months.
Hence, 6A = . This matrix 6A represents the total sales over the 6 months.
(b)
If we denote the books in stock at the starting of January by B, then
B = .
Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 plastic books to Los Angeles.
If we represent the amount restocked books at the end of each month by another matrix C, then
C = .
This restocking will be done for 5 times before the end of June.
If there would be no sale, then the stock would be
B + 5C = .
Since, the total sale is given by 6A, at the end of June, the inventory in each store can be shown as following,
B+5C-6A