Answer:
46
Step-by-step explanation:
If you take the fraction and divide it 2/11, it'll give you the decimal form of what you need, which will give you .18
Now your equation has become 254*.18, which you multiply instead of divide because you switched the form it is given in, and if you try to divide it will give you some obscure number.
Your answer from 254*.18 is 45.72, which you cant give .72 of a book, therefore you round up, making it so he has donated 46 books.
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Answer:
the answer to you question is A
Answer:
$11.49
Step-by-step explanation:
8⊕6 is 10
Step-by-step explanation:
We will use the substitution method to solve this problem
∵ The operation ⊕ is defined by p⊕q = 
∵ You want to find 8⊕6
- Then do these steps:
- Substitute p by 8
- Substitute q by 6
- Calculate the square root of 8² + 6²
∵ p = 8
∴ p² = 8² = 64
∵ q = 6
∴ q² = 6² = 36
∵ p⊕q =
- Substitute p by 8 and q by 6 in the rule above
∴ 8⊕6 = 
- Substitute 8² by 64 and 6² by 36
∴ 8⊕6 = 
∴ 8⊕6 = 
∵ 
∴ 8⊕6 = 10
8⊕6 is 10
Learn more:
You can learn more about the substitution method in brainly.com/question/9390381
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