Another name for the natural numbers is _____.
2 answers:
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Answer:
D
Step-by-step explanation:
First, let us figure out what is graphed and then manipulate each answer to try to match it.
The one with a positive slope is
The one with the negative slope is
Now that we have our graphed system of inequalities, we can try to match them to an answer.
A. while the x-2 is the same, the other does not have an x, so it cannot match.
B. The second inequality has the wrong sign, so it is impossible for this to be our answer.
C. When each of these are solved for y, you get . Neither of these match so this cannot be correct.
D. When the first inequality is solved you get
When the second inequality is solved you get
As both of these answers match our graphed inequalities, D is the correct answer.
Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
