Answer:
Step-by-step explanation:
For 
, we have two cases:
Therefore, for 
, we have the following cases:
Solving, we have:
.
Therefore,
U can see if it is a right triangle bu using the pythagorean theorem (or however it is spelled)
a^2 + b^2 = c^2....where a and b are the legs and c is the hypotenuse (the largest side)
so lets sub our numbers in and see if they equal
33^2 + 56^2 = 65^2
1089 + 3136 = 4225
4225 = 4225.......correct...so YES, this is a right triangle
Answer:
1. 4.66 gallons 2. 2.33 gallons 3. 1.55 gallons
Step-by-step explanation:
1. If her gallons cover is 250 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/250 = 4.66 gallons
2. If her gallons cover is 500 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/500 = 2.33 gallons
3. If her gallons cover is 750 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/750 = 1.55 gallons
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
