Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 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:

2

Step-by-step explanation:

Volume of sphere = 4/3(πr3)

radius = diameter/2 = 14/2 = 7

Taking π= 3.14

volume = 4/3 ( 3.14 * 7*7*7)  =4308.08/3 =  1436.03 cubic inches

Number of Goldfish =  1436.03/693 =  2

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²