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1 year ago

PLEASE I NEED THIS SO MANY POINTS

Mathematics

1 answer:

katovenus [111]1 year ago

4 0

The speed of Sali is 18.75 km/hr.

Given,

Total distance travelled by Jane and Sali =63 km.

The total time is taken by Jane=3.5 hours.

Sali started to cycle 4 minutes after Jane started to cycle $=\frac{4}{60}=\frac{1}{15}$ hours.

<h3>What is the formula to find speed?</h3>

The formula to find speed is $Speed=\frac{Distance}{Time} \ km/hr$ .

The speed of Jane $=\frac{63}{3.5}=18 \ km/hr$ .

Let the speed of Sali be $x \ km/hr$ .

Sali caught up with Jane when they had both cycled 30 km.

Thus, $\frac{30}{18}-\frac{30}{x}=\frac{1}{15}$

$\implies \ \frac{30x-540}{18x} =\frac{1}{15}$

$\implies \ 15(30x-540)=18x$

$\implies \ 5(30x-540)=6x$

$\implies \ 150x-2700=6x$

$\implies \ 144x=2700\implies \ x=18.75$

Therefore, the speed of Sali is 18.75 km/hr.

To learn more about the speed visit:

brainly.com/question/7359669.

#SPJ1

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BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!

vitfil [10]

Answer:

551.7

Step-by-step explanation:

it is the square + the circle

15*25+πr²

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375+π225/4

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7 0

3 years ago

Read 2 more answers

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .