A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:
<u>___________12 inches_______</u>
7 |
i |
n |
Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.
The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.
Let S = the length of the side from corner to corner
S² = 12² + 7²
S² = 144 + 49
S² = 193
S = √193 or -√193
Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193
S = √193 = 13.8924439894
S = 18.92 (rounded to two places)
Thus, Reggie will cut 18.92 inches of paper.
1. (x + 2 < 5) Subtract two from each side to get (x < 3)
2. (x - 7 > -6) Add 7 to both sides to get (x > 1)
Density is the degree of compactness of a substance. It is the degree of consistency measured by the quantity of mass per unit volume. It is the relationship between the mass of the substance and the amount of space it takes up. I hope it helps.
Answer:
Step-by-step explanation:
Given
Garden: 
One Bag: 
Requires
Determine the number of bags to cover the whole garden
This is calculated as thus;
Expand the numerator
Express 81 as 9²
Evaluate as difference of two squares
Hence, the number of bags is
Answer:
-2.1
Step-by-step explanation:
