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2 years ago

A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?

Mathematics

1 answer:

lara31 [8.8K]2 years ago

5 0

Answer:

Total displacement = 2.52 kilometers [south east] $a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52$

Step-by-step explanation:

By the Pythagorean Theorem:

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Tim and three friends go on holiday together for a week. The 4 friends will share the costs of the holiday equally. Here are the

castortr0y [4]

Answer: £535

Step-by-step explanation:

Herr is the complete question:

Tim and three friends go on holiday together for a week.

The 4 friends will share the costs of the holiday equally,

Here are the costs of the holiday.

£1280 for 4 return plane tickets

£640 for the villa

£220 for hire of a car for the week

Work out how much Tim has to pay for his share of the costs.

Firstly, we have to calculate the total cost of the holiday. This will be:

= £1280 + £640 + £220

= £2140

We are also told that they will share the costs equally. Since there are 4 people, Tim will have to pay:

= £2140 ÷ 4

= £535

Tim will pay £535

5 0

3 years ago

5x + 2y=7<br> - 2x + 6y=9

ollegr [7]

Answer:

x = $\frac{12}{17}$ or 0.706

$y = \frac{59}{34}$ or 1.735

Step-by-step explanation:

5x + 2y=7 ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7

15x + 6y = 21 ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = $\frac{12}{17}$

put x = $\frac{12}{17}$ in (eq 1)

$5*\frac{12}{17} + 2y = 7$

$2y = 7- 5*\frac{12}{17}$

$2y = \frac{7*17 - 60}{17}$

$2y = \frac{119- 60}{17}$

$2y = \frac{59}{17}$

$y = \frac{59}{17*2}$

$y = \frac{59}{34}$

6 0

4 years ago

A map's scale is 1 inch : 3.5 miles.

notka56 [123]

Answer:

28 miles

Step-by-step explanation:

to fin the actual distance you must multiply the didtance on the map by the map scale

3.5*8=28

8 0

3 years ago

Please solve and graph each inequality x-7<-12

Keith_Richards [23]

For this case we must resolve the following inequality:

$x-7$

Adding 7 to both sides of the inequality:

$x$

Different signs are subtracted and the major sign is placed.

$x$

Thus, the solution is given by all the values of "x" less than -5.

The solution set is: (-∞, - 5)

Answer:

$x$

See attached image

3 0

4 years ago

PLEASE HELP<br> Simplify (3x2 − 2) + (2x2 − 6x + 3).

leva [86]

The whole equation simplified to one answer is 5

6 0

4 years ago

Read 2 more answers