The smallest object visible with your eyes is similar to the width of a piece of hair, which is 1×10−4 meters wide. using an optical microscope, you can see items up to 2×10−7 meters wide. how much larger are objects you can see with your eyes than objects you can see with an optical microscope? a 0.2×10−3 times larger b 5×102 times larger c 0.5×103 times larger d 2×10−3 times larger

B.

Step-by-step explanation:

We are told that the smallest object visible with our eyes is similar to the width of a piece of hair, which is meters wide.

Using an optical microscope, we can see items up to meters wide.

To find the objects we can see with our eyes are how much larger than the objects we can see with an optical microscope, we can set an equation as:

Using the exponent rule of quotient we will get,

Therefore, the objects we can see with our eyes are times larger than the objects we can see with an optical microscope and option B is the correct choice.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.