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
Answer:
= c^4 d^8 a^2
Step-by-step explanation:
Apply exponent rule: aa= a^2
= c^3 da^2 cd^7
= c^4 da^2 d^7
= c^4 d^8 a^2
Answer:
18
Step-by-step explanation:
First choose the president. From the 4 people, everyone can be the president except Dan, so there are 3 choices.
Then, choose the treasurer. Neither Bob nor Dan can be the treasurer so there are only 2 choices.
Now choose the secretary. Cyd is the only person who can't take this position, so there are 3 choices.
We are asked by the number of ways of choosing the 3 officers. Using the product rule, this is equal to 3×2×3=18.
If y = xⁿ
∫y dx = xⁿ⁺¹ / (n + 1) + C Provided n ≠ -1.
y = √x
y = x^(0.5)
∫y dx = x^(0.5+1) / (0.5 + 1) = x^(1.5) / 1.5 = x^(1.5) / (3/2)
∫y dx = (2/3) x^(1.5) + C.
∫y dx = (2/3) x^(3/2) + C.
∫y dx = (2/3)√x³ + C