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easy answer math science

drag the tiles to the boxes to form correct pairs.

the table shows the distances between a star and three celestial objects. use the conversion factors to rewrite the distances in different, but equivalent, units.

celestial objects

object a
object b
object c

distance from the star

0.1877 pc
30.06 au
778.3 million km

conversion factors:

1 au = 1.5 × 108 km
1 light-year = 9.5 × 1012 km
1 parsec = 31 trillion km, or about 3.262 light-years

Divide. write in the simplest form. 4 1/6 divided by 10

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

The difference of two numbers is 40. find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.