A prism and two nets are shown below:
Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 8.6. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.
Part A: Which is the correct net for the prism? Explain your answer. (2 points)
Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)
Part C: What is the surface area of the prism? Show your work. (4 points)
Your answer:
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Answers
Answer:
p(x)=3
2n+2
−8x−9 is divisible by 64 …..(1)
When put n=1,
p(1)=3
4
−8−9=64 which is divisible by 64
Let n=k and we get
p(k)=3
2k+2
−8k−9 is divisible by 64
3
2k+2
−8k−9=64m where m∈N …..(2)
Now we shall prove that p(k+1) is also true
p(k+1)=3
2(k+1)+2
−8(k+1)−9 is divisible by 64.
Now,
p(k+1)=3
2(k+1)+2
−8(k+1)−9=3
2
.3
2k+2
−8k−17
=9.3
2k+2
−8k−17
=9(64m+8k+9)−8k−17
=9.64m+72k+81−8k−17
=9.64m+
Answer:
p(x)=3
2n+2
−8x−9 is divisible by 64 …..(1)
When put n=1,
p(1)=3
4
−8−9=64 which is divisible by 64
Let n=k and we get
p(k)=3
2k+2
−8k−9 is divisible by 64
3
2k+2
−8k−9=64m where m∈N …..(2)
Now we shall prove that p(k+1) is also true
p(k+1)=3
2(k+1)+2
−8(k+1)−9 is divisible by 64.
Now,
p(k+1)=3
2(k+1)+2
−8(k+1)−9=3
2
.3
2k+2
−8k−17
=9.3
2k+2
−8k−17
=9(64m+8k+9)−8k−17
=9.64m+72k+81−8k−17
=9.64m+
Step-by-step explanation: