Question

A metal rod is placed in a rectangular box as shown in the figure.

How long is the rod? Round your answer to the nearest tenth of an inch, if necessary.




A.
5.0 in.

B.
12.1 in.

C.
13.4 in.

D.
14.2 in.

Answer 1

@xapproachesinfinity

Answer 2

Image

Answer 3

first we begin by finding the length of the diagonal of the bottom rectangle
we use Pythagoras again
that diagonal is a hypethenus if you can see it

Answer 4

ok

Answer 5

so heypethenus = sqrt{3^2+4^2}=sqrt{9+16}=sqrt{25}=5 inch

Answer 6

now we look at the triangle from by the the metal rod
we have the long side is 11 inch and the short one we just found is 5
the rod is like a hypotenuse in that triangle
so the length of the rod = sqrt{5^2+11^2}=sqrt{25+121}=sqrt{146}

Answer 7

to the nearest 10th
it is 12.08 inch

Answer 8

you got it ?

Answer 9

is that the answer?

Answer 10

wouldn't it be 12.1?

Answer 11

nearest tenth you look at two digits after decimal

Answer 12

did you see the answer choices? It also says tenth if an inch.

Answer 13

i'm sorry it should be one digit after decimal
fasting effects haha

Answer 14

so you are correct

Answer 15

so it is 12.1

Answer 16

yes

Answer 17

ok next?

Answer 18

ok go ahead!
next i will give some time to do some of it
and see where exactly you stuck

Answer 19

is that ok

Answer 20

sure.

Answer 21

ok then post :)