9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The angle bisector divides the sides proportionally.
(2x -1)/9 = 3x/15
5(2x -1) = 3(3x) . . . . . . multiply by 45
10x -5 = 9x . . . . . . . . . eliminate parentheses
x = 5 . . . . . . . . . . . . . . add 5-9x
Answer: Option B - 13
Explanation:
The mode is the value that appears most frequently in a data set
So 13 appears 5 times so it is the mode
Must click thanks and mark brainliest
Answer:
It should be greater i would think
Answer:
or
(Not sure which one is preferred in your case)
Step-by-step explanation:
<u>Key skills needed: Evaluating expressions</u>
1) We are given:
2) To solve for the x variable, we want to leave the term with "x" by itself.
This means we add 10 to both sides
-->
(Since -10 and +10 cancel out to make 0 or nothing)
3) Then we divide by 5 on both sides to get "x" completely by itself.
----->
4) You can keep it as is so --> 
or you can divide "y" by 5 and "10" by 5 and get --> 
(I am not sure which form is preferred one is preferred as the teacher matters)
<em>Hope you understood and have a nice day!!</em>
Answer:
- ength (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3
Step-by-step explanation:
Let x is the side of identical squares
By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:
- length (l) : (10-2x)
- width(w): (10-2x)
- height(h): x
The volume will be:
V = (10-2x) (10-2x) x
<=> V = (10x-2
) (10-2x)
<=> V = 100x -20
- 20
+ 4
<=> V = 4
- 40
+ 100x
To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume
dV/dx = 12
-80x + 100
<=> 12
-80x + 100 =0
<=> x = 5 or x= 5/3
You know 'x' cannot be 5 , because if we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3
=>
- length (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3