The volume of seeds in the package must be equal to the volume of the feeder in order to fill it completely. The volume of the conic feeder is given by:
V(f) = (πr²h)/3
And volume of the cylindrical package is given by:
V(p) = πr²h
Equating the two and substituting values:
(π x 3² x 24)/3 = π x 6² x h
h = 2 inches
Answer:
The inequality range of X is determined as 5 < X < 9
Step-by-step explanation:
Given;
first length of the triangle = 2 inches
second length of the triangle = 7 inches
third length of the triangle = X
From the third length rule of a triangle, the following inequality range will be applied to determine the length of "X";
The third length of the triangle must be greater than the difference of the two known sides BUT less than the sum of the two known sides.
(7 - 2) < X < (7 + 2)
5 < X < 9
possible values of X = 6, 7, 8
Therefore, the inequality range of X is determined as 5 < X < 9
Answer:
Number 2 is 32
Step-by-step explanation:
advanced calculator!
Hope it helps
let's bear in mind that Y is a bisecting point, so it's really cutting XZ into two equal halves.
![\bf \underset{\textit{\Large 18x-6}}{\boxed{X}\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}} Y\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}}\boxed{Z}} \\\\\\ 12x+12x = 18x-6\implies 24x=18x-6 \\\\\\ 6x=-6\implies x=\cfrac{-6}{6}\implies x=-1](https://tex.z-dn.net/?f=%5Cbf%20%5Cunderset%7B%5Ctextit%7B%5CLarge%2018x-6%7D%7D%7B%5Cboxed%7BX%7D%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%20Y%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%5Cboxed%7BZ%7D%7D%20%5C%5C%5C%5C%5C%5C%2012x%2B12x%20%3D%2018x-6%5Cimplies%2024x%3D18x-6%20%5C%5C%5C%5C%5C%5C%206x%3D-6%5Cimplies%20x%3D%5Ccfrac%7B-6%7D%7B6%7D%5Cimplies%20x%3D-1)
