Answer:
Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Step-by-step explanation:
In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:
Area of poster = 4 square feet
Area of poster = (Length)²
4 = (Length)²
∴ Length = √(4)
Length of poster = 2 Ft
Volume of box = 14 cubic feet
Volume of box = (Length)³
14 = (Length)³
∴ Length = ∛(14)
Length = 2.41 Ft
∴ Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Answer:
The measure of one angle is 
, and the measure of the other one is 
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders 
We need to find the measure of two such angles whose difference is precisely 
.
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:
We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":
So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":
Answer:
Step-by-step explanation:
2x > 10 Divide by 2
2x/2 >10/2
x > 5
x cannot be 5 or anything smaller.
In English, x >5 reads as x must be greater than 5. (It can't be equal to 5 because 5 is not greater than 5)
The only two items that work are
8 which is greater than 5 and
30 which is also greater than 5
