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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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Each of six jars contains the same number of candies. Alice moves half of the candies from the first jar to the second jar. Then
tino4ka555 [31]

Answer:

The number of candies in the sixth jar is 42.

Step-by-step explanation:

Assume that there are <em>x</em> number of candies in each of the six jars.

⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

\text{Number of candies in the 2nd jar}=x+\fracx}{2}=\frac{3}{2}x

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

\text{Number of candies in the 3rd jar}=x+\frac{3x}{4}=\frac{7}{4}x

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

\text{Number of candies in the 4th jar}=x+\frac{7x}{4}=\frac{15}{8}x

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

\text{Number of candies in the 5th jar}=x+\frac{15x}{16}=\frac{31}{16}x

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

\text{Number of candies in the 6th jar}=x+\frac{31x}{32}=\frac{63}{32}x

Now, it is provided that at the end, 30 candies are in the fourth jar.

Compute the value of <em>x</em> as follows:

\text{Number of candies in the 4th jar}=40\\\\\frac{15}{8}x=40\\\\x=\frac{40\times 8}{15}\\\\x=\frac{64}{3}

Compute the number of candies in the sixth jar as follows:

\text{Number of candies in the 6th jar}=\frac{63}{32}x\\

                                                    =\frac{63}{32}\times\frac{64}{3}\\\\=21\times2\\\\=42

Thus, the number of candies in the sixth jar is 42.

4 0
3 years ago
Write 9x+3y=12 in function notation
KiRa [710]

3y = -9x + 12

y = -3x + 4

Is this what you are looking for?

4 0
3 years ago
Use an inequality symbol(&lt;&gt;_= to compare _26_54
Rina8888 [55]
26 < 54
26 is less than 54
4 0
3 years ago
Read 2 more answers
What is the decimal of 64/100
DENIUS [597]

Answer:

0.64

Step-by-step explanation:

Divide the numerator by the denominator. hope this helps! :))

6 0
3 years ago
Read 2 more answers
On a piece of paper, use a protractor to construct a triangle with angle measures of 100° and 30°.
yanalaym [24]

The third angle measures 50° and all sides have different lengths.

<h3>What is a triangle?</h3>

A triangle is a polygon with three sides and three angles. Types of triangles are<em> isosceles, equilateral, scalene and right angled.</em>

The sum of angles in a triangle is 180 degrees.

A triangle with angle measures of 100° and 30°, let x represent the third angle, hence:

x + 100 + 30 = 180° (sum of angles in a triangle)

x = 50°

Also, all sides have different lengths since all the angles are different.

Find out more on triangle at: brainly.com/question/2644832

8 0
2 years ago
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