Answer:
log3 (10) = x
the 3 is a tiny 3
Step-by-step explanation:
remember the saying, left right left.
so, 3 goes to the left, x goes to the right, and 10 goes to the left side of the equal sign which in turn comes out to log3(10) =x
The sides and angles of a triangle can be determined using trigonometry ratios
The values of x, y and z are , and
<h3>How to determine the missing values of the triangle</h3>
The upper triangle is a right triangle with an angle measure of 45 degrees.
So, the value of x is:
Next, we calculate the hypotenuse (h) of the lower triangle using:
So, we have:
Take the square roots of both sides
The value of y is then calculated using the following sine ratio
Make y the subject
Evaluate
The value of z is then calculated using the following cosine ratio
Make z the subject
Evaluate
Hence, the values of x, y and z are , and
Read more about right triangles at:
brainly.com/question/14628284
Your answer would be b i'm pretty sure
Answer:
The | signs are absolute value signs. Absolute value just makes a negative value turn positive, because technically there is no negative value. For example |-x+5| turns into x+5. If it's already positive, it stays the same. So basically, they're just acting as parenthesis right now. Just distribute the 3 and get 3x+15=7. subtract 17 and get 3x=-8. Divide both sides by three, and you should get x= -8/3. But wait, there's more. Since this is an absolute value equation, there should be more than one answer. Simply make the number on the other side negative. 3x+15=-7. subtract 15 and get -22. Keep going and your answer should be -22/3.
So in conclusion, your two answers are -8/3 and -22/3.
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18.
416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes.
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This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being:
1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!.
2. That all of the pages must be filled.
Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations.
6x3 card pages. Only 1 possible configuration.
4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways.
2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways
9x2 card pages. These can only be arranged in 1 way.
So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations.
Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is
6402373705728000 * 65 = 416,154,290,872,320,000</span>