First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
the simplified expression would be
64g^2h^2
Answer:
This is the concept of financial mathematics;
Break even point is defined mathematically as:
Cost=Revenue
At this point the organization doesn't make any profits because the cost is equal to the revenue. Therefore , to solve our expression we proceed as follows;
The question requires us to find the number of units of products that must be sold in order to break even, to solve this we proceed as follows;
At break even;
C=R
but;
C=13x+80
R=18x
hence;
18x=13x+80
putting the like terms together we get:
18x-13x=80
5x=80
dividing both sides by 5 we get:
(5x)/5=80/5
x=16
Therefore the number of units that must be sold in order to break even is:
x=16 units
Step-by-step explanation:
Hope this helps! (:
Answer:
The estimate is less than the actual length of the CD.
Step-by-step explanation:
Consider the provided information.
Maurice's new CD has 12 songs. Each song lasts between 3 and 4 minutes.
That means the minimum length of the CD should be: 12×3=36 minutes.
The maximum length of the CD should be: 12×4=48 minutes
He estimates that the whole CD is about 30 minutes long.
30 minutes is less than 36 minutes.
That means, the estimate is less than the actual length of the CD.
Hence, the correct statement is: The estimate is less than the actual length of the CD.