Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
Answer:
odd numbers
Step-by-step explanation:
4 - 7 is 3, 7 - 12 is 5, 12 - 19 is 7, 19 to 28 is 9
So just keep counting
Answer: 88
Step-by-step explanation: 77+82+73= 232. So you need an 80 for average. So what you have to do is 80x4 and that equals to 320. last step is to subtract 320-232 and you get 88. 77+82+73+88=320.
Answer:
h = 4/5
Step-by-step explanation:
h + (6/5) = 2
h = 2 - (6/5)
h = (10/5) - (6/5)
h = (10-6)/5
h = 4/5
Check:
(4/5) + (6/5) = 2
10/5 = 2
Answer:
2000 bars, or $1200
Explanation:
Let x represent the number of candy bars that are sold. Since they are sold for $0.60 each, this gives us the expression
0.60x
to represent the profit.
The factor has $0.10 per candy bar additional expense; this gives us the expression
0.10x.
However the factory also has $1000 fixed costs; this gives us
0.10x + 1000
to represent the costs.
The break-even point is the point where these two expressions are equal; this gives us the equation
0.60x = 0.10x + 1000
Subtract 0.10x from each side:
0.60x - 0.10x = 0.10x + 1000 - 0.10x
0.50x = 1000
Divide both sides by 0.50:
0.50x/0.50 = 1000/0.50
x = 2000
The break-even point is 2000 candy bars, which would sell for
0.60(2000) = $1200
