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Sholpan [36]
3 years ago
6

The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown

below. Suppose the total area of the walkway is 400 square feet. 25. What are the dimensions of the garden?
Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

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Un camion transporta aceite de oliva en un deposito con forma de cilindro de 1m de radio y 5m de altura . Si en cada viaje que r
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Answer:

15.71 metros cúbicos de aceite transportará el depósito del camión.

Step-by-step explanation:

Un camión transporta aceite de oliva en un deposito con forma de cilindro de 1 m de radio y 5 m de altura.

Para calcular la cantidad de aceite que transportará se debe calcular el volumen del depósito, siendo con forma de cilindro. El volumen de dicha figura es calculada como V=π*r²*h, donde r es el radio y h es la altura.

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V=π*( 1 m)²*5 m

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Step-by-step explanation:

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aniked [119]
Get the slope:
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Let's use letters to represent the ?'s.
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Examine the equation:
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If x were to be -1, then y would have to be -2 since that is one of the points provided in the problem.

So now we have:
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Solve for k:
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Our new equation is y + 2 = m(x + 1)

Recall point slope form:
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Our equation is in the same form as point slope form, so we know that m in our equation represents the slope.

We found the slope at the beginning, it was 3. So plug it in:
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Let's test our answer by plugging in a point. Let's try (3, 10):
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So our answer is correct:
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3 years ago
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