For this case we have the following quadratic equation:
Where:
Its roots will be given by:
The roots are:
Answer:
The isosceles triangle length of each leg would have to be greater than 7
See attached files for detailed solutions
Answer:
Step-by-step explanation:
Just like regular numbers, angles can be added to obtain a sum, perhaps for the purpose of determining the measure of an unknown angle. Sometimes we can determine a missing angle because we know that the sum must be a certain value. Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees.
The angles of this triangle are 50, 60, and 70 degrees.
If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. This is true for any triangle in the world of geometry. We can use this idea to find the measure of angle(s) where the degree measure is missing or not given.
Answer:
So then after 2.2 hours with an average speed of 12.5 mi/hr the hot air ballon will travel 27.5 mi
Step-by-step explanation:
For this problem we know that the distance traveled by an object is given by:
(1)
Where d is the distance r the average speed and t the time.
From the info given we know that 
and 
And replacing into formula (1) we got:
So then after 2.2 hours with an average speed of 12.5 mi/hr the hot air ballon will travel 27.5 mi
