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Mademuasel [1]
3 years ago
11

a model for a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the m

odel to the height of the actual model in simplest form?
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

Ratio [Model : Actual] = 1:16

Step-by-step explanation:

Given:

Height of model = 2\frac{1}{2} inches = 5/2 inches = 2.5 inches

Height of actual status = 3\frac{1}{3} feet = 10 / 3 feet

Find:

Ratio [Model : Actual]

Computation:

Height of actual status = 3\frac{1}{3} feet = 10 / 3 feet

Height of actual status = [10 / 3] x 12

Height of actual status = 40 inches

Ratio [Model : Actual] = 2.5 / 40

Ratio [Model : Actual] = 1:16

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Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four
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Answer:

Step-by-step explanation:

(a)

Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.

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The diagrams for each of the outline above can be seen in the image attached below.

(b) The diagram illustrating the general solution can be seen in the second image provided below.

(c) The expression for  the total area A in terms of both x and y is:

Area A = x×y

(d) Recall that:

The fencing is said to be 950 ft.

And the length is divided inside into 5 parallel sides;

Then:

5x + 2y = 950  (from the illustration in the second image below)

2y  = 950 - 5x

y = \dfrac{950}{2} - \dfrac{5}{2}x

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(e)

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Area A = x×y

f(x)= x\times ( 475 -\dfrac{5}{2}x)

Open brackets

f(x)= ( 475 x-\dfrac{5}{2}x^2)

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x = 95

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Area A = 95 × 237.5

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