Tony asks 8 people to name their favorite pet. Of the people he asks 2 out of 8 chose rabbit and the fraction of people who choo
1 answer:
Question
What fraction choose dogs?
Answer:
Step-by-step explanation:
When 2 choose rabbits then to get the number that choose other anomals apart from dogs is given by getting the difference between total people and those who choose dogs. This then is expressed as 8-2=6 choose either cat or dogs. These six, half of them choose choose cats and the remaining choose dogs. Therefore 6/2=3
For 3 out of 8, this fraction is equal to
Therefore, the fraction that choose dogs or cats is equal to
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So for this function we will be using the quadratic formula, which is , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:
In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).
There are two acceptable ways of solving this. I'll show both (just in case one of them doesn't align with the information from your textbook).
Option 1 (fast and easy):
The following is the equation for the area of a regular pentagon with side length s.
Plug s=12 into the equation.
The third choice should be your answer.
Option 2 (much more complicated):
The area of a regular polygon can be solved with the following formula.
Let's solve for the apothem.
A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.
An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.
The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.
The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.
(it seems that we're off by 0.1 due to rounding errors)
The answer is the third choice. Hope this helps! :)
Option 1 (fast and easy):
The following is the equation for the area of a regular pentagon with side length s.
Plug s=12 into the equation.
The third choice should be your answer.
Option 2 (much more complicated):
The area of a regular polygon can be solved with the following formula.
Let's solve for the apothem.
A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.
An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.
The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.
The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.
(it seems that we're off by 0.1 due to rounding errors)
The answer is the third choice. Hope this helps! :)