Tara drives due north for 22 miles then east 11 miles. how far is tara from her starting point? round to the nearest tenth is necesary

The answer is: Tara is 24.6 miles from her starting point.

Since she first drives to the north, and then to the east, we can find how far is Tara from her starting point by using the Pythagorean Theorem.

The Pythagorean Theorem states that:

Therefore,

So, Tara is 24.6 miles from her starting point and her displacement is 24.6 miles northeast.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet