:: A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. There are 28.3495

grams in an ounce and 2.54 centimeters in an inch. How many ounces would a 19.45 inch length of the same rope weigh?

5.10 oz

b. 11.49 OZ

32.92 oz

53.90 OZ

a

C.

d.

Please select the best answer from the choices provided

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с

D

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A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

Explanation:

You know that:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), knowing the values a, b and c and x being the unknown, we must apply the direct rule of three as follows:

a ⇒ b

c ⇒ x

So

To find the number of ounces a 19.45-inch length of the same string would weigh, you apply the following rules of three:

centimeters=49.403

grams= 933.34

ounces= 32.92

A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

does anyone know or what?

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