8^2 + 5^2 = c^2
64 + 25 = c^2
89 = c^2
c = 9.43
x = 9.43 - 3
x = 6.43
Answer:
B.
Step-by-step explanation:
The direction of the arrow has to go the same way as the one in the question, from P to R. Also, the question only has one arrow, so the answer only has one arrow.
Your goal is to isolate the x variable, so all you have to do here is subtract 6 on both sides.
Your final answer is x ≤ 2.
Hope this helps a lot! :)
Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

So, we have the following system


If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?


I am going to write y as a function of x in 1), and replace in 2). So:
means that 






Now, going back to 1:

He should plant 100 acres of corn and 400 acres of wheat.
Sin2x = 2sinxcosx;
cos2x = (cosx)^2 - (sinx)^2;
tan2x = (sin2x)/(cos2x);
cosx = 5/13 from formula (sinx)^2 + (cosx)^2 = 1;
=> sin2x = 120/169;
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