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Elan Coil [88]
3 years ago
12

A straw is placed inside a rectangular box that is 9 inches by 5 inches by 4 inches, as shown. If the straw fits exactly into th

e box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form?
Mathematics
2 answers:
Firdavs [7]3 years ago
6 0

Answer:

sq rt 122

Step-by-step explanation:

if the box is 9 inches length (base) then this applies

First find the base diagonal then find the furthest top to base diagonal after.

Pythagoras theorem

Base diagonal

9^2 + 5^2 = c^2

(sqrt) of 81+25 = c^2

(sqrt) of 106 = c^2 =  10.29563 inches

= 10.3 inches.

larger diagonal

We note the height is 4inches and we add this again squaring all digits on calculator

10.29563^2 + 4^2 = c^2

(sqrt) 121.999997 = c^2

= 11.045361017187261 = 11.08 = 11.1 inches

Radical form = sq rt 122

IrinaK [193]3 years ago
4 0

Answer:

9÷5by4 =965

Step-by-step explanation:

storm down Williams uojdg Ellen Soleil

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