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MAXImum [283]
3 years ago
12

A pole that is 2.8 m tall casts a shadow that is 1 m long. At the same time, a nearby building casts a shadow that is 39.5 m lon

g. How tall is the building? round youre answer to the nearest meter
Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

110.6 meters

Step-by-step explanation:

39.5 x 2.8 = 110.6

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Let n be a natural number. Show that 3 | n3 −n
Vladimir [108]
Let n=1. Then n^3-n=1^3-1=0. By convention, every non-zero integer n divides 0, so 3\vert n^3-n.

Suppose this relation holds for n=k, i.e. 3\vert k^3-k. We then hope to show it must also hold for n=k+1.

You have

(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)

We assumed that 3\vert k^3-k, and it's clear that 3\vert 3(k^2+k) because 3(k^2+k) is a multiple of 3. This means the remainder upon divides (k+1)^3-(k+1) must be 0, and therefore the relation holds for n=k+1. This proves the statement.
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3 years ago
@bobross plz help I have another question
enot [183]

Answer:

Average velocity is 32 miles/hr.

Step-by-step explanation:

Given that a particle moves on a line away from its initial position so that after t hours it is  s=6t^2+2t miles from its initial position.

We have to find the average velocity of the particle over the interval [1, 4].

As, average velocity is the change is position over the change in time.

s(4)=6(4)^2+2(4)=104

s(1)=6(1)^2+2(1)=8

∴ \text{Average Velocity=}\frac{s(4)-s(1)}{4-1}

                            =\frac{104-8}{3}=\frac{96}{3}=32miles/hr

Hence, average velocity is 32 miles/hr.

                                         

6 0
3 years ago
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Match the following.
NNADVOKAT [17]

Answer:

Pyramid=5

Cone=1

Cylinder=3

Triangular Prism=4

Rectangular Prism=2

Step-by-step explanation:

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3 years ago
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The anwser is D and I’m sure of it
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How can u show that two objects are proportional using a graph
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The graph has to be a straight line that pass through the origin (0,0)
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