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3 years ago

6

The distance between Johannesburg and Cape town is 1682km. If it took the bus 19:28 min to arrive at its destination calculate t

he avarage speed of the bus for this trip

2 answers:

Crazy boy [7]3 years ago

8 0

Step-by-step explanation:

Below is an attachment containing the solution.

grandymaker [24]3 years ago

7 0

Answer:

the average velocity is 86 km/h for the trip

Step-by-step explanation:

from the definition of average velocity

average velocity = distance covered / time required = 1682 km /(19 h + 28 min/60 min/h) = 86 km/h

therefore the average velocity is 86 km/h for the trip

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the driving distance from chicago to san francisco is 2,142 miles. the hathaway family left chicago on monday morning, december

lubasha [3.4K]

Miles driven in 119 gallons = 2142 miles
Miles driven in 1 gallon = (2142/119) * 1
= 18 miles

6 0

3 years ago

A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?

4vir4ik [10]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.5r\\
h=2.5h
\end{cases}\implies V=\pi (2.5r)^2(2.5h)
\\\\\\
V=\pi \cdot 2.5^2\cdot r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h
\\\\\\
V=15.625\pi r^2h\impliedby \textit{15.625 of the original}
\\\\\\
\textit{if the original was 360}\qquad 15.265\cdot 360$

5 0

3 years ago

The endpoints of segment RS are R(-4, 3) and S(8, -5). Complete each statement using a fraction.

Ray Of Light [21]

Answer:

a. (-1 , 1) is the point at 1 : 3 of the way from R to S

b. (5 , -3) is the point at 3 : 1 of the way from R to S

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide a line segment whose end points are

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ , at ratio

$m_{1}:m_{2}$ from the first point, then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

a.

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (-1 , 1) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $-1=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $(-1)m_{1}+(-1)m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $3m_{2}=9m_{1}$

- Divide both sides by 3

∴ $m_{2}=3m_{1}$

∴ $m_{1}=\frac{1}{3}m_{2}$

∴ (-1 , 1) is the point at 1 : 3 of the way from R to S

b.

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (5 , -3) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $5=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $5m_{1}+5m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $9m_{2}=3m_{1}$

- Divide both sides by 3

∴ $3m_{2}=m_{1}$

∴ $\frac{m_{1}}{m_{2}}=3$

∴ (5 , -3) is the point at 3 : 1 of the way from R to S

8 0

4 years ago

Which expression is equivalent to 10 square root 5

IRINA_888 [86]

Answer:

<h2> $a) \sqrt{500}$ </h2>

Step-by-step explanation:

$10 \sqrt{5}$

$\sqrt{ {10}^{2} } \sqrt{5}$

$\sqrt{5 \times {10}^{2} }$

$\sqrt{5 \times 100}$

$\sqrt{500}$

6 0

3 years ago

Find the percent change from 72 to 90.Is it decrease or an increase

frosja888 [35]

Increase with a 28% change

6 0

3 years ago

Read 2 more answers