Tyler is building a fish tank in the shape of a sphere that has a diameter of 18 inches. Based on Tyler's research, it is recommended to have no more than 1 goldfish for every 693 cubic inches of water. How many goldfish should Tyler buy for his fish tank? Numerical Answers Expected! Answer for Blank 1:

Tyler should buy 4 fishes

Explanation:

The Diameter d of Tyler's sphere tank = 18 inches

radius r of the tank = d/2 = 18/2 = 9 inches

The volume of water that will be contained within the sphere will be roughly equal to the volume of the sphere

The volume of a sphere = 4/3 pi*r^3

Volume of the sphere = 4/3*3.142*9^3 = 3054.024 cubic inches

Since, it is recommended to have no more than 1 goldfish for every 693 cubic inches of water,

∴number of goldfishes will be = 3054.024/693 = 4.41

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11