Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
For the smaller triangle, we compute 5^2 - 3^2 = b^2, yielding 25 - 16 = 9, so b = 4. The length of the Elm Trail totals 13 km + 5 km, making it 18 km, while the Dogwood Trail calculates to 12 + 5 + 4 + 3 = 24 km.
Thus, the correct selections are 2 and 5.
Answer:
The attached image provides the answer.
The previous response led me to a mistake, so I want to ensure you have the correct answer. ):)
Step-by-step explanation:
Answer:
reflects the required domain.
Step-by-step explanation:
We have two squares provided
Let the area of the larger square be denoted as x
The area of the smaller square is given, and we need to determine the domain for the larger square's area.
The domain refers to the possible values that x can assume in a function
In this context, x represents the area of the larger square
Because the area of the smaller square is 
The area of the larger square must exceed 
The domain will consist of all real numbers greater than 10
Mathematically,
indicates the required domain.
To achieve a positive profit p(x)>0, we start with:

Next, we solve for x:

The parameters are:
a = -2
b = 7
c = -3
We will apply the quadratic formula:

This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3