Answer:
The domain for x is all real numbers greater than zero and less than 5 com
Step-by-step explanation:
<em><u>The question is</u></em>
What is the volume of the open top box as a function of the side length x in cm of the square cutouts?
see the attached figure to better understand the problem
Let
x -----> the side length in cm of the square cutouts
we know that
The volume of the open top box is
we have
substitute
Find the domain for x
we know that
so
The domain is the interval (0,5)
The domain is all real numbers greater than zero and less than 5 cm
therefore
The volume of the open top box as a function of the side length x in cm of the square cutouts is
Answer: The answer is Yes. A square is a rectangle because it possesses all the properties of a rectangle. These properties are: Interior angles measure 90∘ each.
Explanation:
Definition of a Rectangle:
A 4-sided flat shape with straight sides where all interior angles are right angles (90°).
Also, opposite sides are parallel and of equal length.
Definition of a Square:
A 4-sided flat shape with straight sides where all interior angles are right angles (90°).
Also, all sides have equal length
As you can see the first part of the definition of a square and rectangle are the same.
However, a square is a special case of a rectangle.
When all 4 sides of a rectangle are equal then the rectangle is a square.
So, a rectangle can also sometimes be a square.
Step-by-step explanation:
Possible number combinations are 1,1 2,1 3,1 4,1 5,1 6,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 1,5 2,5 3,5 4,5 5,5 6,5 1,6 2,6 3,6 4,6 5,6 and 6,6. of those 36 number combinations the ones that add up to more than 10 include: 4,6 5,5 5,6 6,4 6,5 6,6. thats 6 number combinations. 6/36 of the possible sums of the top faces equal out to 10 or more. 6/36=1/6=0.166666666666666666666666(repeating) and to put that in a percentage, 16.7%
the probability is 16.7%
Hope this helps.
Answer:
B
Step-by-step explanation:
5a^2 - 44 = 81 Add 44 to both sides
5a^2 = 81 + 44 Collect like terms
5a^2 = 125 Divide both sides by 5
a^2 = 125/5
a^2 = 25 Take the square root of both sides
√a^2 = √25
a = +5
a = -5
The answer is B
