All categories

2 years ago

a bus traveled 60 km of north of its terminal. From this point, it traveled km east. How far is the bus from the terminal?

Mathematics

1 answer:

shusha [124]2 years ago

8 0

maybe 61km from northeast

You might be interested in

A triangle ABC has its vertices at A(-2, -3), B(2, 1), and C(5,-1).

maksim [4K]

$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill ~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) ~\hfill AB=\sqrt{( 2- (-2))^2 + ( 1- (-3))^2} \\\\\\ AB=\sqrt{(2+2)^2+(1+3)^2}\implies AB=\sqrt{32}\implies \boxed{AB=4\sqrt{2}} \\\\[-0.35em] ~\dotfill$

$B(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{( 5- 2)^2 + ( -1- 1)^2} \\\\\\ BC=\sqrt{3^2+(-2)^2}\implies BC=\sqrt{9+4}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{5}~,~\stackrel{y_1}{-1})\qquad A(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-3}) ~\hfill CA=\sqrt{( -2- 5)^2 + ( -3- (-1))^2} \\\\\\ CA=\sqrt{(-7)^2+(-3+1)^2}\implies CA=\sqrt{49+(-2)^2}\implies \boxed{CA=\sqrt{53}}$

$\stackrel{\textit{\large perimeter of ABC}}{4\sqrt{2}+\sqrt{13}+\sqrt{53}~~\approx~~ 16.54}$

3 0

2 years ago

The value of the 8 in 8.4 is 100 times greater than the 8 in

anastassius [24]

The answer is= 0.08

I might be wrong but I think it is correct! :)

Have a great day!

5 0

3 years ago

Read 2 more answers

What's the GCF of 77?

alexira [117]

We found the factors and prime factorization of 70 and 77. The biggest common factor number is the GCF number. So the greatest common factor 70 and 77 is 7.

3 0

2 years ago

Read 2 more answers

Q). If the selling price of 10 mangoes is equal to the cost price of 12 mangoes, find the profit percentage.

lianna [129]

Step-by-step explanation:

Here :-

Selling price of 10 mangoes is equal to the cost price of 12 mangoes

$\begin{gathered}\end{gathered}$

Let the cost price of one mango be ₹1. So :-

Cost Price of 10 mangoes = ₹10
Selling Price of 10 mangoes = ₹12

↝ Here the selling price of 10 mangoes is equal to the cost price of 12 mangoes. It means selling price of 10 mangoes = cost price of 12 mangoes. So, the selling price of 12 mangoes is ₹12 and the cost price of 10 mangoes is ₹10.

Profit = S.P > C.P

$\begin{gathered}\end{gathered}$

<em>Fistly, finding the profit :-</em>

${\dashrightarrow\sf{Profit = Selling \: Price - Cost \: Price}}$

${\dashrightarrow\sf{Profit = 12 - 10}}$

${\dashrightarrow{\sf{\underline{\red{Profit = Rs.2}}}}}$

∴ The profitis Rs.2.

$\begin{gathered}\end{gathered}$

<em>Now, finding the profit percentage :-</em>

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{Profit }{Cost \: Price} \times 100}}}$

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{2 }{10} \times 100}}}$

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{2 \times 100 }{10}}}}$

$\dashrightarrow{{\sf{Profit \: \%= \dfrac{200 }{10}}}}$

$\dashrightarrow{{\sf{Profit \: \% = \cancel\dfrac{200 }{10}}}}$

${\dashrightarrow{\sf{\underline{\red{Profit \: \% = 20 \: \%}}}}}$

∴ The profit percent is 20%.

5 0

2 years ago

The functions f(x) and g(x) are described below.

Elza [17]

Answer:

13 units

Step-by-step explanation:

Because the c term (9 for f(x)) represents the y intercept. The y only moves the graph up or down. Since we are trying to get from 9 to -4 move down by 13 units.

7 0

2 years ago