1) Solve quadratic equations by factoring. 2x^2 + 5x - 12 = 0
2 answers:
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Answer:
Height of the silo = 18 feet.
Step-by-step explanation:
From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.
Farmer is standing at 8 ft distance from the silo.
From triangle AEC,
tan(∠CAE) =
=
m(∠CAE) =
= 32°
m∠BAE = 90° - 32° = 58°
From the triangle ABE,
tan58° =
BE = 8tan58°
BE = 12.8 ft
Total height of the silo = BE + EC
= 12.8 + 5
= 17.8
≈ 18 ft
Therefore, total height of the silo is 18 ft.
Answer: Maria has 10 bills of 5€ and 10 bills of 10€.
She has a total of 150€.
Step-by-step explanation:
Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.
Set up a system of equations:
Use the Substitution method to solve the system of equations:
1. Solve for "f" from the first equation:
2. Substitute the equation obtained into the second equation and solve for "t".
Then:
3. Substitute the value of "t" into the equation and evaluate:
Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.
So the total amount of money she has, is:
She has a total of 150€.