Answer:
SSS
Step-by-step explanation:
K = -48
1. subtract 5 from both sides
-4 = k/12
2. multiply 12 from both sides to get k alone
-48 = k
If we discuss this as if it is a triangle then the "rise" is the vertical side and the "run" is the adjacent side.
So the ratio of the rise to the run is 8 / 15 which equals
<span>
<span>
<span>
0.5333333333
</span>
</span>
</span>
To find the angle of this roof pitch we look up the arc tangent of
<span>
<span>
<span>
0.5333333333
</span>
</span>
</span>
and we find that is 28.072 Degrees
Trigonometry Calculator:
http://www.1728.org/trigcalc.htm
First we write the variables already defined:
m = the number of magazine subscriptions sold
n = the number of newspaper subscriptions sold
We now write the system of inequations based on the following facts:
"he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
23m + 54n> 642
"I have expectations to sell at least 10 subscriptions per week"
m + n> = 10
Answer:
A system of inequalities that models the given situation is:
23m + 54n> 642
m + n> = 10
Answer: 33 gallons
Step-by-step explanation:
We initially have 130 gallons of a
acid solution and we need to change it to a
acid solution, and for that it is necessary to evaporate
gallons of water.
So, this situation can be mathemtically expressed as follows:

Then:

Isolating
:


Hence, we need to evaporate 33 gallons of water.