Answer:
Step-by-step explanation:
Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.
So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b
These four angles sum up to 360, so we have
And since a and b were the same, a is also 45 degrees.
Answer:
x = 39
Step-by-step explanation:
We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:
80^2 + x^2 = 89^2
6400 +x^2 = 7921
x^2 = 1521
x =
x = 39
The area of the circular fire pit is 4096 square inches.
Explanation:
Given that the rectangular fire pit is 7 feet by 6 feet.
We need to determine the area of the largest circular fire that can be made in this fire pit.
The diameter of the circular fire is 6 feet
The radius is given by
Radius is 3 feet.
The area of the largest circular fire pit can be determined using the formula,
Substituting the values in the formula, we have,
We need to convert feet to inches by multiplying by 12, we get,
Rounding off to the nearest square inch, we get,
Thus, the area of the circular fire pit is 4096 square inches.
