Physics, 12.08.2020 07:01, lennyatme

Express the time spent to daily life activities during holidays as a fraction of whole day 1. Represent the fractions in pictorial form. 2. Write the fractions in simplest form. 3. Arrange them in ascending order.

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answered: ehsaangaminglegend

(II). The fractions in simplest form

$\dfrac{31}{35}$ , $\dfrac{91}{165}$ and $\dfrac{13}{5}$

(III). The fractions in ascending order

$\dfrac{91}{165}$

Explanation:

Given that,

(I). Represent the fractions in pictorial form

(II). Write the fractions in simplest form.

(III). Arrange them in ascending order.

Suppose, The fractions in pictorial form

(a). $\dfrac{3}{5}+\dfrac{2}{7}$

(b). $\dfrac{9}{11}-\dfrac{4}{15}$

(c). $\dfrac{7}{10}+\dfrac{2}{5}+\dfrac{3}{2}$

We need to write in simplest form

Using given fraction

(a). $\dfrac{3}{5}+\dfrac{2}{7}=\dfrac{3\times7}{5\times7}+\dfrac{2\times5}{7\times5}$

$\dfrac{3}{5}+\dfrac{2}{7}=\dfrac{21}{35}+\dfrac{10}{35}$

$\dfrac{3}{5}+\dfrac{2}{7}=\dfrac{21+10}{35}$

$\dfrac{3}{5}+\dfrac{2}{7}=\dfrac{31}{35}$

(b). $\dfrac{9}{11}-\dfrac{4}{15}=\dfrac{9\times15}{11\times15}-\dfrac{4\times11}{15\times11}$

$\dfrac{9}{11}-\dfrac{4}{15}=\dfrac{135-44}{165}$

$\dfrac{9}{11}-\dfrac{4}{15}=\dfrac{91}{165}$

(c). $\dfrac{7}{10}+\dfrac{2}{5}+\dfrac{3}{2}=\dfrac{7}{10}+\dfrac{2\times2}{5\times2}+\dfrac{3\times5}{5\times2}$

$\dfrac{7}{10}+\dfrac{2}{5}+\dfrac{3}{2}=\dfrac{7}{10}+\dfrac{4+15}{10}$

$\dfrac{7}{10}+\dfrac{2}{5}+\dfrac{3}{2}=\dfrac{7+4+15}{10}$

$\dfrac{7}{10}+\dfrac{2}{5}+\dfrac{3}{2}=\dfrac{26}{10}$

$\dfrac{7}{10}+\dfrac{2}{5}+\dfrac{3}{2}=\dfrac{13}{5}$

We need to arrange them in ascending order

Using simplest form

The simplest fraction in ascending order

$\dfrac{91}{165}$

Hence, This is required solution.

answered: Guest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

answered: Guest

Answerigneous bedrock of the oceanic crust;

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