Answer:
A) Associative Property of Addition
Step-by-step explanation:
<u><em>Associative Property of Addition</em></u>
Let A, B and C be any three real numbers
A+(B+C) = (A+B) + C
Given data
(20.4 + 3.75) + 4.25 = 20.4 + (3.75 + 4.25)
= 20.4 + 8.0
= 28.4
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 correct answer is x = 3x - 5
Answer:
Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.
Step-by-step explanation:
Given that
1 pound of ground beef sells for $4.
To find the cost per pound:
We need to divide the cost with the number of pounds.
i.e.
If 'Number of pounds' = 1, then cost per pound = Total Cost
Therefore, the above division expression can be used to find the Cost pound.
Putting the values given to find the 'Cost per pound':
Therefore, Rosa's belief is correct that, a division expression can be used.
The correct answer is:
Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.
Answer:oof Juan is painting the floor of an outdoor racquetball court. He knows that 1 gallon of paint will cover the shaded area shown below. If it takes Juan 3h hours to apply 1 gallon of paint, approximately how many hours will it take him to paint the entire court? Show your work or explain in words.
Step-by-step explanation:
