Answer:
The lateral surface is 120
, which agrees with the third answer option of the list.
Step-by-step explanation:
Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.
Then the lateral area of the prism is:
Lateral area= 5 (6" x 4") = 5 (24) = 120 
Answer:
13 inches and 10 inches
Step-by-step explanation:
First, let's find the factor pairs that make up the area of 130 square inches.
Next, let's see the factor pairs that make a perimeter of 46 inches by using the formula 2(l + w).
- 2(1 + 130) = 2(131) = 262
- 2(2 + 65) = 2(67) = 134
- 2(5 + 26) = 2(31) = 62
- 2(10 + 13) = 2(23) = 46
Therefore, the dimensions of the folder are 13 inches and 10 inches.
Answer: D. 
Step-by-step explanation:
The given sequence: 
Here, first term:
Second term:
Third term : 
It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.
Common ratio: 
So,
[as in G.P. nth term=
]
Hence, correct option is D. 
C - a = b
12 - 3 = b
12x12 - 3x3 = b
144 - 9 = 135