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3 years ago

The diagram shows a rectangle. 5cm 1cm four of these rectangles are put together as shown, calculate the shaded area

Mathematics

2 answers:

GarryVolchara [31]3 years ago

7 0

Answer:

15 cm²

Step-by-step explanation:

5 + 1 + 1 = 7

7 × 5 = 35

5 × 1 = 5

5 + 5 + 5 + 5 = 20

35 - 20 = 15

aalyn [17]3 years ago

6 0

Answer:

15 sq.cm

Step-by-step explanation:

Length of the shaded rectangle = length of the unshaded rectangle = 5 cm

Breadth of the shaded rectangle = 5 - ( 1 + 1) = 5 - 2 = 3 cm

Area of the shaded rectangle = 5 * 3 = 15 sq.cm

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bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

f(3.5) = 25 means that:

$ab^{3.5} = 25$

$a = \frac{25}{b^{3.5}}$

f(8.5) = 14 means that:

$ab^{8.5} = 14$

Hence:

$\frac{25}{b^{3.5}} \times b^{8.5} = 14$

$25b^5 = 14$

$b = \sqrt[5]{\frac{14}{25}}$

$b = 0.89$

$a = \frac{25}{0.89^{3.5}} = 37.59$

Hence, the function is given by:

$y = 37.59(0.89)^x$

Then, when x = 5.5:

$f(5.5) = 37.59(0.89)^{5.5} = 19.8$

More can be learned about exponential functions at brainly.com/question/25537936

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UNO [17]

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andrew11 [14]

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Step-by-step explanation:

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