Answer:
obtuse angle
Step-by-step explanation:
DENSITY = MASS/VOLUME:
OR VOLUME = MASS/DENSITY:
Volume = 315/10.5 = 30 cm³
Answer: A' (5,9)
Step-by-step explanation:
1. You have that the translation is
⇒
and the coordinates of A is (-2,5). Then:
⇒
2. As you can see, -5 is 7 units below of the line of reflection
, therefore, you can know the coordinates of A' as following:

3. Then, the coordinates of A' is (5,9)
Answer:
(2, 6)
Step-by-step explanation:
For each of the 3 given points, substitute the coordinates into y - x > -3 and determine whether the resulting inequality is true or false:
(6, 2): 2 - 6 > - 3, or -4 > -3. This is FALSE, so (6, 2) is not a solution.
(2, 6): 6 - 2 > - 3, or 4 > -3. This is TRUE, so (2, 6) is a solution.
Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x