Answer:
The answers for this are as followed:
Area = 906.12058 (Rounded to the nearest tenth = 906.1)
Perimeter = 138.94608 (Rounded to the nearest tenth = 138.9)
Semiperimeter = 69.47304 (Rounded to the nearest tenth = 69.5)
Step-by-step explanation:
This is an Acute Scalene Triangle, with the side and angle measurements being:
Side A = 49
Side B = 40.17851 (Rounded = 40.2)
Side C = 49.76757 (Rounded = 49. 8)
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Angle ∠A = 65° = 1.13446 rad
Angle ∠B = 48° = 0.83776 rad = 4/15π
Angle ∠C = 67° = 1.16937 rad
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∠C = 180° - A - B = 1.16937 rad = 67°
b = a·sin(B)/sin(A) = 40.17851
c = a·sin(C)/sin(A) = 49.76757
In order to find the area, just use the equation: ![\frac{ab x sin(C)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bab%20x%20sin%28C%29%7D%7B2%7D)
The answer will be 6.24 because after 3 is 7 and seven is greater than 5. So you need to round up.
Calculating the unit rate is not that problematic if you can understand the requirement. Using the details given the answer to the question can be easily determined.
Number of miles that it goes in 22 gallons = 346
Then
Number of miles that it goes in 1 gallon = (346/22) miles
= 15.73 miles
So
The unit rate to this equation is 15.73 miles per gallon. I hope the procedure is clear enough for you to understand.You can always use this procedure for solving similar problems in future.
Answer:
see the explanation
Step-by-step explanation:
<u><em>The correct question is</em></u>
Use the discriminant to determine how many solutions are possible for the following equation (show work).
5x^2-3x+4=0
we know that
The discriminant for a quadratic equation of the form
is equal to
![D=b^2-4ac](https://tex.z-dn.net/?f=D%3Db%5E2-4ac)
If D=0 then the equation has only one real solution
If D>0 then the equation has two real solutions
If D<0 then the equation has no real solutions (two complex solutions)
in this problem we have
so
![a=5\\b=-3\\c=4](https://tex.z-dn.net/?f=a%3D5%5C%5Cb%3D-3%5C%5Cc%3D4)
substitute
![D=-3^2-4(5)(4)](https://tex.z-dn.net/?f=D%3D-3%5E2-4%285%29%284%29)
![D=-71](https://tex.z-dn.net/?f=D%3D-71)
so
The equation has no real solutions, The equation has two complex solutions
therefore
I know there are___No____
real solutions to the equation in problem 4 because ___the discriminant is negative___