The bottom is a square with a side length of 2 ft.
The area of a square is Area = S^2 = 2^2 = 4 square ft. Bottom)
The area of one side ( triangle) = 1/2 x base x height = 1/2 x 2 x 4 = 4 square ft.
There are 4 triangles: 4 x 4 sq. ft. = 16 sq.ft. ( four sides)
Total area = four sides + bottom = 16 + 4 = 20 feet^2
Answer:
The final velocity v is 21.74 m/s.
Step-by-step explanation:
Given:
![\textrm{initial velocity} = u = 9\ m/s\\\textrm{acceleration} = a = 7\ m/s^{2}\\\textrm{distance} = s = 28\ m](https://tex.z-dn.net/?f=%5Ctextrm%7Binitial%20velocity%7D%20%3D%20u%20%3D%209%5C%20m%2Fs%5C%5C%5Ctextrm%7Bacceleration%7D%20%3D%20a%20%3D%207%5C%20m%2Fs%5E%7B2%7D%5C%5C%5Ctextrm%7Bdistance%7D%20%3D%20s%20%3D%2028%5C%20m)
To find:
![\textrm{final velocity} = v = ?](https://tex.z-dn.net/?f=%5Ctextrm%7Bfinal%20velocity%7D%20%3D%20v%20%3D%20%3F)
Solution:
As we know the third equation of motion is represented as
![v^{2} = u^{2} + 2\times a\times s\\](https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%20u%5E%7B2%7D%20%2B%202%5Ctimes%20a%5Ctimes%20s%5C%5C)
Substituting the values u, a and s in the above equation we get
![v^{2} = 9^{2} + 2\times 7\times 28\\ =81 + 392\\=473\\](https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%209%5E%7B2%7D%20%2B%202%5Ctimes%207%5Ctimes%2028%5C%5C%20%3D81%20%2B%20392%5C%5C%3D473%5C%5C)
![v =\±\sqrt{473} \\v =\sqrt{473} \ \textrm{as acceleration is positive v is also positive}\\v = 21.74\ m/s](https://tex.z-dn.net/?f=v%20%3D%5C%C2%B1%5Csqrt%7B473%7D%20%5C%5Cv%20%3D%5Csqrt%7B473%7D%20%5C%20%5Ctextrm%7Bas%20acceleration%20is%20positive%20v%20is%20also%20positive%7D%5C%5Cv%20%3D%2021.74%5C%20m%2Fs)
All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)
1.15 ÷ 2.5 = 0.46
Therefore each pound costs $0.46
Hope this helps
-AaronWiseIsBae
Answer:
x = 20
Step-by-step explanation:
The triangle is isosceles ( 2 congruent sides )
Hence the base angles are congruent, thus
3x = 60 ( divide both sides by 3 )
x = 20
So the man's age is divisible by 3, 5, and 7 but not by 2, 4, 6, or 8.
3 * 5 * 7 = 105
105 is not divisible by 2, 4, 6, or 8.
Not sure if any lower ages are there, but since the man is 105 years old, you would receive $105.