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Gnom [1K]
3 years ago
10

“Find two positive numbers such that the sum to 108, and the product of the first with the square of the second is maximum”

Mathematics
1 answer:
dsp733 years ago
5 0

Answer:

36 and 72

Step-by-step explanation:

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You and some friends go miniature golfing. Your score is 3 below par. One of your friends has a score that is 12 over par. What
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How are mountains and plateaus alike?
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It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.

Step-by-step explanation:

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3 years ago
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Serggg [28]

Answer:

The answer to your question is below

Step-by-step explanation:

Process

1.- Get two points of each line to find the equation of each line

   Continuous line    A (-10, 0)  B (0, 9)

   Dotted line            C (-2, -3)   D (0, -10)

 Slope continuous line    m = \frac{9 - 0}{0 + 10} = = \frac{9}{10}

 Slope dotted line     m = \frac{-10 + 3}{0 + 2} = \frac{-7}{2}

2.- Get the equation of each line

     Continuous line    y + 0 = 9/10 (x + 10)

                                   y = 9/10x + 9

      Dotted line          y + 3 = -7/2(x + 2)

                                    y + 3 = -7/2x - 7

                                    y = -7/2x -7 - 3

                                    y = -7/2x - 10

3.- Find the inequalities

   <u> Continuous line</u> (we need the upper area of the line, we use ≥)

                               y ≥ 9/10x + 9

   The <u>Dotted line</u> (we also need the upper area, we use >)

                              y > -7/2x - 10

6 0
3 years ago
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10. A cylindrical can has a base with a diameter of 6 cm. Its height measures 5 cm. What is the total surface area of the can?
eduard

Answer:

  • Total surface area of cylinderal can is 150.8 cm²

<u>Step-by-step </u><u>explanation</u><u>:</u><u> </u>

Given that a cylinderal can has base with a diameter of 6 cm and its height measures 5 cm.

So,

Radius = Diameter/2 = 6/2 = 3 cm

We know that,

  • TSA of cylinder = 2πr(h + r)

Substituting required values:

➝ TSA = 2 × 22/7 × 3(5 + 3)

➝ TSA = 44/ 7 × 3 × 8

➝ TSA = 1056/7

➝ TSA = 150.8 cm²

Hence,

  • <u>Total </u><u>surface </u><u>area </u><u>of </u><u>cylinderal</u><u> </u><u>can </u><u>is </u><u>1</u><u>5</u><u>0</u><u>.</u><u>8</u><u> </u><u>cm²</u>
6 0
2 years ago
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