Inflation
<span>Inflation is the rate of increase in prices over a given period of time. Inflation is typically a broad measure, such as the overall increase in prices or the increase in the cost of living in a country</span>
Answer:
Step-by-step explanation:
Step 2 expansion of bracket
Step 4 grouping of like terms
Step 4 division property
Answer:
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of mg of sodium in 1 oz of chips.
y is the number of mg of sodium in a cup of soda.
Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.
This means that:
Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.
This means that:
From the first equation:
Replacing in the second
1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.
Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
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<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
