Answer:
Lateral area=100 square inches
Step-by-step explanation:
It is given that the perimeter of the base of a pentagonal prism is 25 inches, therefore each sides of the pentagon will be of 5 inches.
Also, one of its lateral edge is 4 inches, therefore each lateral face has area which will be equal to=
=
square inches.
Since, there are 5 lateral faces of the pentagonal prism, therefore the lateral area of the prism will be: 
=
square inches.
Answer:
-4W-6k would be the answer
Answer:
a = 3/4 in
b = 19/8 in
c = 25/8 in
d = 29/8 in
Step-by-step explanation:
Answer:

Step-by-step explanation:
Completing the square gives

So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.
Answer:
D: x + (x+1) + (x+2) > 60
Step-by-step explanation:
Let
x = youngest brother age
x + 1 = older brother age
x + 2 = oldest brother age
Fathers age = 60
The inequality is
x + (x+1) + (x+2) > 60
x + x + 1 + x + 2 > 60
3x + 3 > 60
3x > 60 - 3
3x > 57
x > 57/3
x > 19
x + 1
19 + 1
20
x + 2
19 + 2
21
The oldest brother is no younger than 21
The youngest brother is no younger than 19
The oldest brother is 2 years older than the youngest brother since each are one year apart.