Answer:
x = 1.56 or x = -2.56
Step-by-step explanation:
From the equation;
x2 +x − 4 = 0
a = 1 , b = 1, and c = -4
x = (-b ± √(b² -4ac))/2a
= (-1 ± √(1²- 4×1×-4))/2
= ( -1 ± √(17)/2
= (-1 ± 4.12)/2
= (-1 + 4.12)/2 or (-1 - 4.12)/2
<u>x = 1.56 or x = -2.56</u>
104 equals two to the power of three times thirteen
Answer:
Terrence's
Step-by-step explanation:
The length of the square that will be cut out is the height of the box.
1. a
Anya's method: 8.5 -1.5 =7, 11- 1.5 =9.5, the height is 1.5, so the volume is height x length x width which is 1.5 x 9.5 x 7 =99.75 squared inches.
Terrence's method: 8.5-3 = 5.5, 11-3 = 8. Vol= 5.5 x 8 x 3 =132 squared inches. 99.75 < 132 squared inches, Terrence's idea would create larger volume.
1. b
The box's size depends on the length/width/height of the cardboard being cut, which is why different measurements / cutting methods for the same size cardboard can result in different box sizes.
2. The square would be cut from all four corners, therefore the sum of the 2 squares on the cardboard cannot exceed the short side of the cardboard. The shorter side of the cardboard is 8.5 inches, divided by 2 = 4.25 inches, hence the squares cannot be larger than 4.25 inches. Keep in mind that if you cut exactly 4.25 inches you will have a strip of 2.5 inches width that cannot be turned into a box.
If you want to cut 5 inches squares out, depending on how you draw it, it would either overlap or go outside of the paper because 5+5 is ten, surely on the 11 inches side that would still be perfectly fine but for the 8.5 inches side, there isn't any room for the 10 inches.
Answer:576
Step-by-step explanation:
24x24=576
Answer:
yes the two triangles are similar
