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Nata [24]
3 years ago
11

A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine th

e depth of the gutter that will maximize its cross sectional area and allow the greatest amount of water to flow. What is the maximum cross-sectional area?
Mathematics
1 answer:
marishachu [46]3 years ago
4 0
20in flat -> 2 sides of 10in at 90degrees from eachother

area would be 10*10/2 =50in^2

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Elena and Jada are 25 miles apart when they start moving toward each other. Elena runs at a constant speed of 6 mph and Jada wal
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<u>Answer:</u>

The Time taken by Elena and Jade  to meet up is 2.5 hours

<u>Explanation:</u>

Given,

Elena moves with a speed of 6mph  while Jada walks at a speed of 4 mph

Also, Distance can be calculated by the formula

Distance = Speed * Time

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values  

Here it will be: 6 + 4 = 10mph

Distance apart is given as 25 miles. Substituting the values,

Distance = Speed * Time

25 = 10 * time

Time = 25/10

Time = 2.5 hour

Hence, It will take 2.5 hours to meet up.

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3 years ago
The Library is having a book sale. Hardcover books sell for $4 each, and paperbacks sell for $2 each. If Connie spent $26 on 8 b
LenKa [72]

If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

<h3>Number of hardcover bought</h3>

Let h represent hard cover

Let p represent paperbacks

Formulate an equation

h + p= 8.......(1)

4h + 2p= 26......(2)

Multiply equation (1) by -2

-2h + -2p = -16

<u> 4h  +  2p   = 26</u>

2h  +   0p =10

2h = 10

Divide both side by 2h

h=10/2

h =5 hard covers

Paper backs

P=5-2

P=3 paper backs

Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

Learn more about Number of hardcover bought here:brainly.com/question/18306224

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