Answer:
x=3
Step-by-step explanation:
Given information: AC=32, AB=2x, BC=6x+8 and point B lies between A and C.
We need to find the value of x.
(Segment addition property)
Substitute the given values.
(Substitution)
Combine like terms.
(Simplification)
Subtract 8 from both sides.
(Subtraction property of equality)
Divide both sides by 8.
(Division property of equality)
Therefore, the value of x is 3.
Answer:
30.54
Step-by-step explanation:
Here is the complete question used in answering this question
he given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12 inches with water. What is the least number of full cylindrical needed to completely fill the fish tank?
Number of cylinders needed = volume of prism / volume of cylinder
volume of prism = width x height x length = 24 x 24 x 12 = 6912
volume of a cylinder = nr^2h
n = 22/7
r = radius
(22/7) x (3^2) x 8 = 226.29
6912 / 226.29= 30.54
Simplify it to 6v=12
divied 12 by 6
v=2
The sum of length and width is half the perimeter, so that sum is 26 inches.
If length and width were equal, they would both be 26/2 = 13 inches. Adding 2 inches to one dimension and subtracting 2 inches from the other will keep the sum the same and make them differ by 4 inches.
The length and width are 15 inches and 11 inches, respectively.
