Joseph has four different graduated cylinders. He has a 10 mL cylinder marked in 0.1 mL increments, a 100 mL cylinder marked in 1 mL increments, a 250 mL cylinder marked in 5 mL increments, and a 500 mL cylinder marked in 10 mL increments. If Joseph needs to measure a volume of 150 mLs for an experiment, which cylinder should he use to make the most precise measurement?

The 250 mL cylinder marked in 5 mL increments

Explanation:

In order to minimize error and increase precision of his measurement, Joseph should use the 250 mL cylinder marked in 5 mL increments.

Using this particular cylinder will reduce the chances of introducing random or constant error into his measurement. These errors can result from multiple measurements if a cylinder that cannot measure the required volume at once is used.

The 500 mL cylinder might be too cumbersome to use for the required volume and be more prone to error during measurements.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

i believe the answer is a hope it and is correct