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swat32
3 years ago
8

A train leaves Little​ Rock, Arkansas, and travels north at 85

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
Recall your d = rt, distance = rate * time.

we know the train traveling north is going at 85 km/h, and the one traveling south is going 70 km/h.

as they move apart, the distance between them is increased, and at some point is 465 kilometers.

let's say the one traveling north by the time the 465 kilometers are met, has been traveled "d" kilometers, then the one going south has traveled the slack from 465 and "d", namely "465 - d".

let's also keep in mind that since both trains took off at the same time, they have been traveling the same amount of hours, namely "t" hours.

\bf \begin{array}{lcccl}
&\stackrel{km s}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Northbound Train}&d&85&t\\
\textit{Southbound Train}&465-d&70&t
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=85t\\
465-d=70t\\
--------\\
465-\boxed{85t}=70t
\end{cases}
\\\\\\
465=155t\implies \cfrac{465}{155}=t\implies 3=t
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The value of angle Z is 30 degrees

<h3>How to determine the value of angle Z?</h3>

The given parameters are:

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This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal

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4 0
1 year ago
Problem ID: PRABK2AZ
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Step-by-step explanation:

  • A recursive formula is used to determine each term of a sequence using preceding term or terms.

Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...

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Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .

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