Answer: 9 and 10
Step-by-step explanation:
To understand this question we need to first understand how to solve square root equations! The easiest way to learn how to solve square root problems is by finding the reverse of the problem.
For example, if you tried to find the square root of 25, you would reverse the problem to do 5^2 = 5 x 5 = 25.
So if we were to implement this problem, we would look at these two whole numbers.
9^2 = 9 x 9 = 81
10^2 = 10 x 10 = 100
Thus meaning that the only two numbers that the square root of 97 lies between can be 9 and 10!
It's important to rely on your knowledge of multiplication to develop a strong base for square roots.
You can use the FOIL method when you have two binomials.
First, outer, inner, last
1. The area of one face of the bar is
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2
Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection
2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2
Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2
Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2
The answer would be C) 2,300.
