Answer:
The maximum height of the prism is 
Step-by-step explanation:
Let
x------> the height of the prism
we know that
the area of the rectangular base of the prism is equal to
so
-------> inequality A
------> equation B
-----> equation C
Substitute equation B in equation C
------> equation D
Substitute equation B and equation D in the inequality A
-------> using a graphing tool to solve the inequality
The solution for x is the interval---------->![[0,12]](https://tex.z-dn.net/?f=%5B0%2C12%5D)
see the attached figure
but remember that
The width of the base must be 
meters less than the height of the prism
so
the solution for x is the interval ------> ![(9,12]](https://tex.z-dn.net/?f=%289%2C12%5D)
The maximum height of the prism is
Decimal: 0.72
Fraction: 18/25
Sin 167 = 0.22495
cos 107 = -0.29237
cos 167 = -0.97437
sin 107 = 0.95630
(sin 167)(cos 107) - (cos 167)(sin 107)
(0.22495)(-0.29237) - ( -0.97437)(0.95630)
= 0.86602
hope this helps :)
Answer:
Minimum number of candies:
0
Maximum number of candies:
13
Range:
13
Median number of candies:
4
Interquartile range:
5
Step-by-step explanation: There u go
Y = 3x + 3 this is equation 1
y = x -1 this is equation 2
since equation 1 and 2 already defined y in terms of x, we're just gonna substitute y into the other equation. as 2 is shorter I'm going with that today
x - 1 = 3x +3
-1 - 3 = 3x - x
-4 = 2x
x = -2
now we've got x just sub it in equation 2
y = -2 -1
y = -3
so the answer is (-2,-3)
