Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
Y ≤ x - 5
y ≥-x - 4
x - 5 = -x - 4
+ x + x
2x - 5 = -4
+ 5 + 5
2x = 1
2 2
x = ¹/₂
y = x - 5
y = ¹/₂ - 5
y = -4¹/₂
The following points that lie in the solution set to the following system of inequalities is (¹/₂, -4¹/₂).
Answer:
7,300
Step-by-step explanation:
Answer:
We calculate for the dimensions (the length of the sides) of both the poster and the cube. If the length of the side of the poster is shorter compared to that of the box then, the poster will lie flat in the cube. However, if the poster has a length that is longer than that of the cube then, it will not lie flat in the cube.
length of the poster = sqrt (9 ft^2) = 3 ft
length of the cube = cbrt (30 ft^3) = 3.11 ft
Since, the length of the cube is longer compared to the length of the poster then, the poster will lie flat on the cube