Answer:
Length = 27.2
Width = 6.8
Step-by-step explanation:
P = L+L+W+W
68 = 4(L+L)+W+W
68 = 4(x+x)+x+x
68 = 4x+4x+x+x
68 = 10x
x = 6.8
L = 4x
L = 27.2
W = x
W = 6.8
68 = 27.2+27.2+6.8+6.8
68 = 68
No
1. Vertical 6, horizontal 10
6/10 = 3/5 slope
2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5
3. (Blue) vertical 4, horizontal 6
4/6 = 2/3 but does not equal 3/5
Answer: 0.8490
Step-by-step explanation:
Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.
i.e.
and 
Let x denotes the lengths of aluminum-coated steel sheets.
Required Formula : 
For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-

∴ Required probability = 0.8490
Answer:
x≈231.123
Step-by-step explanation:
1) Make a ratio 314/2512= x/1584
2) Use the concept of cross multiplication and get 314*1584=2512x
3) Use Algebra:
314*1584=497,376
497,376/2152=2512x/2152
x≈231.123
The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7