Answer:
11 and 7
Step-by-step explanation:
Let these two numbers be x and y where x is greater than y.
We can write two equations from the given information:
x - y = 4
and
x + y = 18
If we add them together, the y's cancel out:
x - y = 4
x + y = 18
2x = 22
x = 11
y is 4 less than x, meaning it is 7.
The two numbers are 11 and 7
Answer:
5
Step-by-step explanation:
Sum of interior angles in a 4 sided quadrilateral is 360,
110 + 70 + 14x + 23x - 5 = 360
180 + 37x - 5 = 360
180 - 5 + 37x = 360
175 + 37x = 360
37x = 360 - 175
37x = 185
x = 185 / 37
x = 5
Answer:
Max vol = 2 cubic metres
Step-by-step explanation:
Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.
Side of the square = 3m
If squares are to be cut from the corners of the cardboard we have the dimensions of the box as
3-2x, 3-2x and x.
Hence x can never be greater than or equal to 1.5
V(x) = Volume = 
We use derivative test to find the maxima
Equate I derivative to 0
If x= 3/2 box will have 0 volume
So this is ignored
V"(1/2) <0
So maximum when x =1/2
Maximum volume
=
cubic metres
Answer:
d < 1
Step-by-step explanation:
First, we have to get d on the same side of the equation. So we will subtract d from both sides and the equation will be 12d-d < + 11. We could also write this problem as d(12-1) < 11, which when simplified would be d(11) < 11. Next, divide both sides by 11 and you get d< 1. Hope this helps and have a great day!!:D
