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Soloha48 [4]
3 years ago
14

Solve using suitable property -2/3 x 5/7 x -9/16 x 14/25

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

\dfrac{3}{20}

Step-by-step explanation:

We need to solve the given expression i.e.

\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}

It can be calculated by simplifying such that,

25 = 5 × 5

16 = 8 × 2

14 = 7× 2

9 = 3 × 3

If we use all the values,

we get,

\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}=\dfrac{3}{20}

So, the value of the above expression is equal to \dfrac{3}{20}.

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The question says “The image shows the front of Bob’s barn.Bob plans on painting the front of his barn,not including the doors o
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Solution:

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Area of the door = length × breadth

                            = 7 × 5

                            = 35

Area of the door = 35 ft²

The given image is a trapezoid.

Top base = 12 ft

Bottom base = 20 ft

Area of the trapezoid = \frac{1}{2} \times\text{sum of the parallel sides}\times\text{height}

                                    $=\frac{1}{2}\times(12+20)}\times15

                                    $=\frac{1}{2}\times 32\times15

                                    = 240

Area of the trapezoid =  240 ft²

Surface area to paint = Area of the trapezoid – Area of the door

                                    = 240 ft² – 35 ft²

                                    = 205 ft²

Hence Bob need to paint 205 square feet.

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