How did you put multiple pictures on this app? i can’t figure how to
Answer:
168 cm²
Explanation:
Lateral surface area of triangular prism: (perimeter of base) × height
Here given:
So, lateral surface area:
= (4 + 6 + 4) × 12
= 168 cm²
Answer:
V = (1024π√3)/3
Step-by-step explanation:
We can apply the formula
V = ∫∫∫ρ²SinФ dρ dФ d∅
1) ∫ρ²dρ = (1/3)ρ³ if 0 ≤ ρ ≤ 8
⇒ ∫ρ²dρ = (1/3)((8)³-(0)³) = 512/3
2) ∫ SinФ dФ = - Cos Ф if π/6 ≤ Ф ≤ 5π/6
⇒ ∫ SinФ dФ = - (Cos (5π/6) - Cos (π/6)) = √3
3) ∫ d∅ = ∅ if 0 ≤ ∅ ≤ 2π
⇒ ∫ d∅ = (2π - 0) = 2π
Finally, we get
V = ∫∫∫ρ²SinФ dρ dФ d∅ = (512/3)(√3)(2π) = (1024π√3)/3
Answer:
28 square units
Step-by-step explanation:
1 x 2 = 2
2 x 4 = 8
4 x 1 = 4
each box it on the figure twice so
2 + 2 + 4 + 4 + 8 + 8 = 28
Answer:
x=3, y=5
Step-by-step explanation:
To find x:
Because opposite sides of a parallelogram are congruent, we can set up the equation 2x+5=12x-25. Solving the equation will show that x=3.
To find y:
Using the same method as x, we can find that y=5.
Hope this helped!