Whoever put this problem is smarttttttttttt
Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)
Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm
Opposite of the integers:
+56
+340
-39
-201
-1124
Solid figures:
Cube
Rectangular prism
Cylinder
Octahedron
Triangular pyramid
Answer:
Graphing inequalities on a numberline:
38 > x
The point is directly on 38, the circle is hallow which means greater than or less than NOT or equal too. The arrow is pointing downwards signifying that 38 is greater than x.
10 ≤ x
This circle is filled in which means greater than or equal too or less than or equal too, in this case the arrow is pointing upwards showing that X is greater than or equal to 10.
28 ≤ X
The point is on 28 and the circle is filled in which means which means greater than or equal too or less than or equal too, in this case it is showing that x is greater than o r equal to 28 because the arrow is going up the numberline (upwards).
16 > x
This circle is NOT filled in which is hallow meaning that it is greater than or less than (also depending on where the arrow is pointing towards too). The point is on 16 and is showing the arrow going down which means 16 is greater than x.