Answer:
90.4°
Step-by-step explanation:
Use Law of Cosines to solve:
12² = 9² + 8² - 2(9)(8)Cos X
144 = 81 + 64 - 144Cos X
-1 = -144Cos X
-1/144 = Cos X
Cos^-1 (-1/144) = X
X = 90.39789056°
Answer:
The walk will cost $8164.
Step-by-step explanation:
Given:
Diameter of the circular pond (D) = 24 yd
Width of the gravel path (x) = 2 yd
Cost per yard of the path = $50
Now, radius of the circular pond is half of the diameter and is given as:

Now, area of the pond is given as:

Area of the complete path including the pond area is given as:

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

Now, using unitary method,
Cost of 1 square yard of path = $50
∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164
Hence, the walk will cost $8164.
The answer is 5 5/6 simplified to the max.
rewrite the equation with separated parts
-3 1/2 - 2 1/3
-3 - 2 = -5
-1/2 - 1/3? u need to find the LEAST common denominator
-3/6 - 2/6 = -5/6
how did I get 6?
Rewriting input as fractions if necessary:
1/2, 1/3
For the denominators (2, 3) the least common multiple (LCM) is 6.
Therefore, the least common denominator (LCD) is 6.
Now lastly combine them total and its -5 - 5/6 = -5 5/6.
A hole 8 feet deep because it’s down making it negative