Question

Please help with one and two i have no clue and i’m really stressed, i’ll mark highest :(

Answer 1

From Post Office to Store is 7.8 miles

Henry would walk 2.2 h

Explanation:

From Post Office (P) to Library (L) is 6 miles, from Store (S) to Library (L) is 5 miles. And angle SLP is right angle (m∠SLP=90°).

So, from Pythagorean theorem:

`SL^2+PL^2=SP^2\\\\5^2+6^2=SP^2\\\\SP^2=25+36=61\\\\SP=√(61)=7.810 249...\approx7.8`

If Henry walks 3.6 mph then:

`3.5\qquad-\quad\quad1\,h \\7.8\qquad-\qquad x\\\\ x=(7.8\cdot1\,h)/(3.5)=(78\,h)/(35)=2,22857...\, h\approx2.2\,h`