17) A spider has taken up residence in a small cardboard
box which measures 8 inches by 5 inches by 4 inches.
The spider travels from the lower right front corner of
the box to the upper left back corner of the box.
What is the length, in inches, that the spider travels?
Show your work and use mathematical vocabulary
to explain your reasoning.
4
8

Question

contestada

Respuesta :

aminefahad69 aminefahad69 · Answer 1 · 2020-12-04T08:52:35+01:00

Answer:

13.4 inches

Step-by-step explanation:

Firstly you should calculate the diagonal of lower square using pythahoras theorem

I.e diagonal = (89)^1/2

Now calculate distance by simple arithmetic

X=Xx + Xy

= (89)^1/2 + 4

= 13.4

Answer Link

mathstudent55 mathstudent55 · Answer 2 · 2022-08-12T18:14:45+02:00

Answer:

√105 inches

Step-by-step explanation:

The diagonal of the bottom is the hypotenuse of a right triangle with legs measuring 5 and 8.

a² + b² = c²

5² + 8² = c²

c² = 89

c = √89

The path of the spider is the hypotenuse of a right triangle whose legs measure √89 and 4.

a² + b² = c²

(√89)² + 4² = c²

89 + 16 = c²

c² = 105

c = √105

Answer Link