Answer:

or 
Step-by-step explanation:
Let:

Given


Solving (a): The polynomial for the volume in terms of height
Volume (V) is calculated using:


Expand

Open brackets


Rewrite as:

Solving (b): The dimensions when Volume = 180
Substitute 180 for V in: 

Rewrite as:

Factorize:


Express
as difference of two squares

This gives:



Since the height can not be negative, then H = 5 or H = 6
Recall that:


When H = 5


When H = 6


Hence, the dimensions of the box are:

or

You want to round 905,154 to the nearest ten-thousands place. The ten-thousands place in your number is shown by the bold underlined digit here:
9<em><u>0</u></em>5,154
To round 905,154 to the nearest ten-thousands place...
The digit in the ten-thousands place in your number is the 0. To begin the rounding, look at the digit one place to the right of the 0, or the 5, which is in the thousands place.
Since the 5 is greater than or equal to 5, we'll round our number up by
Adding 1 to the 0 in the ten-thousands place, making it a 1.
and by changing all digits to the right of this new 1 into zeros.
The result is: 910,000.
So, 905,154 rounded to the ten-thousands place is 910,000.
Answer:
28, 56, 84, 112, etc.
Step-by-step explanation:
Since 28 is the first number they have in common, 28 is the least common multiple of 4 and 7.
Answer:
she would need annual breast cancer screening with mammograms.
Step-by-step explanation:
hope this helps! hope you have a nice day.