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3 years ago

100m In 9 3/5 seconds

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9 $\frac{3}{5}$ secs

1) First, we need to convert the mixed number 9 $\frac{3}{5}$ to an improper fraction.

Method to convert a mixed number to an improper fraction

 $a\frac{b}{c} = \frac{c*a+b}{c}$ 

Applying the above formula, we get

9 $\frac{3}{5}$ = $\frac{5*9+3}{5}$

= $\frac{45+3}{5}$

= $\frac{48}{5}$

2) Now we need to convert $\frac{48}{5}$ into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = $\frac{Distance}{Time taken}$

Plugging the values of Distance and Time taken into the formula, we get

Speed = $\frac{100}{9.6}$

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

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Step-by-step explanation:

Simplify the following:

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3 years ago

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Answer:

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2 years ago

The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle

AVprozaik [17]

Answer:

Length of rectangle is 31 yards and Width is 24 yards.

Given:

The length of a rectangle is 7 more than the width.
The area is 744 sqaure yards

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

$\\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\$

On Substituting the required values, we get;

$\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\$

As we know that width of the rectangle can't be negative. So x = 24

Hence,

Width of rectangle = x = 24 yards
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$\therefore$ Length of rectangle is 31 yards and Width is 24 yards.

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