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telo118 [61]
3 years ago
10

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? Explain your reasoning.

Mathematics
2 answers:
Masteriza [31]3 years ago
5 0

Answer:

Hey are you in TTU K-12? I am.

Step-by-step explanation:

spin [16.1K]3 years ago
4 0

Doubling all the dimensions of a triangular pyramid, the volume of the pyramid becomes quadrupled.

Explanation:

The volume of the triangular pyramid is given by

$V_{1}=\frac{1}{3} \cdot b \cdot h$

where b is the base of the pyramid and

h is the height of the pyramid.

Doubling all the dimensions of the pyramid, we have,

b=2b and h=2h

Thus, volume of the triangular pyramid is given by

$V_{2}=\frac{1}{3} \cdot2b \cdot 2h$

Multiplying, we get,

$V_{2}=\frac{1}{3}4bh

$V_{2}=4\frac{1}{3}bh

V_2$=4 \cdot V_{1}$

Thus, doubling all the dimensions of a triangular pyramid, the volume of the pyramid becomes quadrupled.

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Answer:

This question is hard to understand

Step-by-step explanation:

(w+8) × 15   ???

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3 years ago
What is the answer M
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Can you guys figure it out ??
Studentka2010 [4]
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4 years ago
Suppose the Tower of Hanoi rules are changed so that stones may only be transferred to an adjacent clearing in one move. Let In
Svet_ta [14]

Answer:

l_n=3^n-1

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,  

l_n=3^n-1

We will prove our base case (when n=1) to be true:

Base case:

As stated in the qustion, l_1=2=3^1-1

Inductive hypothesis:  

Given a natural n,  

l_n=3^n-1

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:

  1. Move the first n stones from A to C (l_n moves).
  2. Move the biggest stone from A to B (1 move).
  3. Move the first n stones from C to A (l_n moves).
  4. Move the biggest stone from B to C (1 move).
  5. Move the first n stones from A to C (l_n moves).

Then,

l_{n+1}=3l_n+2.

Therefore, using the inductive hypothesis,

l_{n+1}=3l_n+2=3(3^n-1)+2=3^{n+1}-3+2=3^{n+1}-1

With this we have proved our statement to be true for n+1.    

In conlusion, for every natural n,

l_n=3^n-1

8 0
3 years ago
What's 352 divided by 40 in a step by step explanation?
frozen [14]

Answer:

352 divided by 40 is 88

Step-by-step explanation:

lets put this in another form 352/40 so now you have 352 uh cheetos. You wanna share with your lunch table so you divide them into 40 groups. each person gets 88.

7 0
3 years ago
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