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Iteru [2.4K]
3 years ago
15

Two poles with different heights stand side-by-side. One pole is 4 meters tall, and casts a shadow that is 11 meters long. The o

ther pole is 6 meters tall. How long is the shadow of the second pole?
Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

The length of the shadow of the second pole is 16.5 meters

Step-by-step explanation:

Set up a proportional ratio (since the two poles stand side by side).

\frac{height}{shadow} =\frac{height}{shadow}

\frac{4}{11} =\frac{6}{x}

Cross multiply and solve for x (the shadow of the second pole):

4 · x = 11 · 6

4x = 66

x = 66 ÷ 4

x = 16.5 m

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Find the value of 1×4+2×5+3×6......n×(n+3)​
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n(n+1)(n+5)/3

Step-by-step explanation:

there is no value, as we don't know n.

but we can create a summary formula/ function definition :

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k×(k+3) = k² + 3k

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3 0
3 years ago
During off hours, cars arrive at a tollbooth on the East-West toll road at an average rate of 0.5 cars per minute. The arrivals
Norma-Jean [14]

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Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

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And the parameter \lambda represent the average ocurrence rate per unit of time

For this case we know that \lambda =0.5 cars/min

And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:

\lambda = 0.5 \frac{cars}{min}* 5 min = 2.5 cars

And we want this probability:

P(X=3)

And if we use the pmf we got:

P(X=3) = 2.5^3 \frac{e^{-2.5}}{3!}=0.214

6 0
4 years ago
The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.
vfiekz [6]

Answer:

Minimum surface area =70.77 cm^2

Step-by-step explanation:

We are given that

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We have to find the minimum surface areas that this container will have.

Volume of container=l\times b\times h

x\times 2x\times h=54

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Because the container does not have lid

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Then, we get

Minimum surface area =\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2

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