Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport and factory are 6.0 miles apart. their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. a service road will be constructed from the shopping center to the highway that connects the airport and factory. what is the shortest possible length for the service road? round to the nearest hundredth.

The shortest possible length for the service road is 2.88 miles.

Step-by-step explanation:

According to the below diagram, and are the positions of airport, shopping center and factory respectively.

Given that,   and

In right triangle

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is .

That means, is also a right triangle in which , Hypotenuse miles and is the opposite side in respect of or .

Now in right triangle

So, the shortest possible length for the service road is 2.88 miles.

1

step-by-step explanation:

it's the only multiple of both and the least

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)