Answer:
n=6 u=28/3
Step-by-step explanation:
system of equations
<u>Solution-</u>
As given in △ABC,

As from the properties of trigonometry we know that, the greater the angle is, the greater is the value of its sine. i.e

According to the sine law,

In order to make the ratio same, even though m∠A>m∠B>m∠C, a must be greater than b and b must be greater than c.

Also given that its perimeter is 30. Now we have to find out whose side length is 7. So we have 3 cases.
Case-1. Length of a is 7
As a must be the greatest, so b and c must be less than 7. Which leads to a condition where its perimeter won't be 30. As no 3 numbers less than 7 can add up to 30.
Case-2. Length of b is 7
As b is greater than c, so c must 6 or less than 6. But in this case the formation of triangle is impossible. Because the triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. If b is 7 and c is 6, then a must be 17. So no 2 numbers below 7 can add up to 17.
Case-3. Length of c is 7
As this is the last case, this must be true.
Therefore, by taking the aid of process of elimination, we can deduce that side c may have length 7.
14. To get the length of each side, you will have to find the square root of 189 to find what two numbers multiplied by itself will get to that number. The square root of 189 is about 13.7, to the nearest tenths is 14
Solution:
The first car can travel 75 miles on 5 gallons of gas.
So per mile gas consumed by car
gallon
The second car can travel 240 miles on 20 gallons of gas.
So per mile gas consumed by car
gallon
It mean Sam should rent the First car.
Sam is renting one of two cars to go on a 300-mile trip.
So total number of gallons of gas required
Total cost of 20 gallons of gas
dollar