Answer:
6.9
Step-by-step explanation:
An octagon has 8 sides so:
55.2=8*x
x=55.2/8=6.9
Answer:
a) 0.012ft³
b)2.09 lb
c)0.791 lb
d) 0.012ft³
e) 6 inches
Step-by-step explanation:
a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

Where r is the inside radius and R the outer radius.

convert to cubic ft:

The volume of the glass shell is 0.012 ft³
b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

The weight of the jar is 2.09 lb
c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

0.791 lb of water will be displaced.
d) The volume of the water displaced is:
[tex]=0.791/62.5=0.01266
e) The jar will be fully submerged because the density of the jar is larger than water.
Answer:
,
, and "Yes"
Step-by-step explanation:
We will do as the instructions say.
-> See attached.
Answer:
144 cm²
Step-by-step explanation:
A prism's surface has 2 triangles & 3 rectangles.
In both the triangles , length of :
Perpendicular = 4 cm
Base = 6 cm
So , Area of both triangles = 
In the 3 rectangles ,
Length = 8 cm
Width = 5 cm
So , Area of the rectangles = 
Hence the total surface area of the prism is = 120 + 24 =144 cm²
The area is given by
A = (5 + 2x) * (10 + 2x) - 50
Rewriting we have:
A = 50 + 10x + 20x + 4x ^ 2 -50
Rewriting we have:
A = 4x ^ 2 + 30x
Substituting the value of the area we have:
54 = 4x ^ 2 + 30x
Rewriting:
4x ^ 2 + 30x - 54 = 0
We look for the roots:
x1 = -9
x2 = 3/2
We take the positive root:
x2 = 3/2
Answer:
the value of x is:
x = 3/2