The map shows the location of the airport and a warehouse in a city. though not displayed on the map, there is also a factory 88 miles due north of the warehouse.

a truck traveled from the warehouse to the airport and then to the factory. what is the total number of miles the truck traveled?

176 miles
198 miles
220 miles
250 miles

Answer

176 miles

Explanation

The distance from the warehouse to the airport;

= √[(33 - -33)² + (44 - -44)²]

= √[(33 + 33)² + (44 + 44)²]

= √(66² + 88²)

= √12,100

= 110

Factory 88 miles due north of the warehouse.

The distance from the airport to the factory is 66.

Total distance = 110 + 66

                        = 176 miles

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!