volume of the box is 675 cubic inches
A machine produces open boxes using square sheets of plastic.
It is a square sheet so length and width are same
Lets assume length as x so width is also x
The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.
After turning up the sides the height of the box becomes 3 inches
We know the volume of a box formula
Volume = Length * width * height
We know length is x , width is x and height = 3
So V = x * x * 3
Given volume = 675 cubic inches
Divide by 3 on both sides
Now we take square root on both sides
x = 15
the length of one side of the open box is 15 inches.
Answer:
wrong answer.
Right answer: √30 ≈ 5.48
Step-by-step explanation:
The answer for √2 × √15 is not 30, that answer is wrong
√2 × √15 = √2*15 = √30 ≈ 5.48
Hope this help you :3
Answer:
y=(2x/3)-(11/3)
Step-by-step explanation:
https://www.emathhelp.net/calculators/algebra-1/parallel-and-perpendicular-line-calculator/
Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3. 
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4. 
SAS criterion for congruence
5. 
Corresponding angles of congruent triangles are congruent
6. 
Converse of alternate interior angle theorem
7. 
Vertical angle theorem
8. 
SAS criterion for congruence
9. 
Converse of alternate interior angle theorem
As, , so 
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
- Null hypothesis
is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.
- Alternative hypothesis
is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.
Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. 
So, 
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
