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iren [92.7K]
3 years ago
14

The two-dimensional net of a rectangular prism is

Mathematics
2 answers:
Elden [556K]3 years ago
6 0

Answer:

28 Square units

Step-by-step explanation:

tatuchka [14]3 years ago
3 0

Answer:

28 Square Units

Step-by-step explanation:

Formula:

A=2(wl+hl+hw)

Steps to solution

2·(1·2+4·2+4·1)=28

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A boat traveled 153 miles downstream and back. The trip downstream took 9 hours. The trip back took 17 hours. What is the speed
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Speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

<h3><u><em>Solution:</em></u></h3>

Let  s  =  the speed of the boat in still water in miles/hour

Let  c  =  the speed of the current in miles/hour

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is s miles/hr and the speed of the current is c miles/hr, then:

Speed downstream = (s + c) miles per hour

Speed upstream = (s - c) miles per hour

<em><u>Given:</u></em>

boat traveled 153 miles downstream and back

distance for downstream = 153 miles

distance for upstream = 153 miles

time taken for downstream = 9 hours

Time taken for upstream = 17 hours

<em><u>The relation between speed, distance and time is given as:</u></em>

distance = speed \times time

<em><u>For downstream:</u></em>

153 = (s + c) \times 9

s + c = \frac{153}{9} = 17

s + c = 17 ------- eqn 1

<em><u>For upstream:</u></em>

153 = (s - c) \times 17\\\\s - c = \frac{153}{17} = 9

s - c = 9 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "s" and "c"</u></em>

Add eqn 1 and eqn 2

s + c = 17

s - c = 9

(+) -------------

2s = 26

<h3>s = 13</h3>

Substitute s = 13 in eqn 1

13 + c = 17

c = 17 - 13 = 4

<h3>c = 4</h3>

Thus the speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

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