Answer:
About 46 dollars an hour
Step-by-step explanation:
322/7 = 46
Answer:
$462.50
Step-by-step explanation:
:))
Answer:
10 spiders and 12 ants
Step-by-step explanation:
You need to create two equations
s = # of spiders
a = # of ants
s + a = 22 heads
since each spider and ant has one head
8s + 6a = 152 legs
since every spider has 8 legs and every ant has 6
s + a = 22 can be turned into s = 22 - a
now use substitution
8(22 - a) + 6a = 152
176 - 8a + 6a = 152
176 - 2a = 152
24 = 2a
a = 12
now that you have the number of ants you can solve for the number of spiders
s + a = 22
s + 12 = 22
s = 10
Answer: Choice A
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Explanation:
Recall that 
and 
. The connection between tangent and cotangent is simply involving the reciprocal
From this, we can say,
In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.
All of this shows why is identical to 
Therefore, 
is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.
You can visually confirm that is the same as by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.
To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.
_______________
___ ____
(rounded)
Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.
So, your final answer would be (3.29, 4.87).
