<em>Answer:</em>
Here is the answer ...... Check out it
<em>Step-by-step explanation:</em>
<em>An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.</em>
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Answer: n=5
Step-by-step explanation: You are solving for ‘n’ so you would want to get ‘n’ by itself on one side of the equation. The easiest way to do this would be to divide both sides by 3, which would make ‘3n’ turn to ‘n’ and 15 into 5.
<h2>
The product of two numbers is <em>
a,</em>
of both numbers.</h2>
Step-by-step explanation:
Given,
The product of two numbers = a
To find, the both numbers = ?
Let the two numbers = x
∴ x × x = a
⇒ 
= a
⇒ 
Comparing the powers, we get
⇒ x =
∴ First number = and Second number =
Thus, the product of two numbers is <em>a,</em> of both numbers.
8. Answer: (C) 101.3
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C
795.24 = 285.61 + 380.25 - 659.1 cos C
795.24 = 665.76 - 659.1 cos C
129.38 = - 659.1 cos C
-0.196 = cos C
cos⁻¹ (-0.196) = cos⁻¹ (cos C)
101.3 = C
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10. Answer: (A) 27.9
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
c² = 25² + 18² - 2(25)(18)·cos 79
c² = 625 + 324 - 900 cos 79
c² = 949 - 171.7
c² = 777.3
√c² = √777.3
c = 27.9
Answer:
- The rate of planes: 926 km/h and 860 km/h
=========================
<h3>Given</h3>
- Two planes travel in opposite directions,
- One plane travels 66 km/h faster than the other,
- The distance between the two planes after 6 hours is 10716 km.
<h3>To find</h3>
- The rate of of each plane
<h3>Solution</h3>
The distance traveled by two planes in an hour is:
Let the rate of one plane be x, then the other plane's rate is x - 66.
The sum of two rates is the distance traveled in one hour:
- x + x - 66 = 1786
- 2x - 66 = 1786
- 2x = 1786 + 66
- 2x = 1852
- x = 1852/2
- x = 926
So the rate of one plane is 926 km/h and of the other plane is:
