23. a candle is 10 in. tall after burning for 2 hours. after 3 hours, it is 8.5 in. tall. how tall will the candle be after 6 hours?

The candle be 4 inches tall after 6 hours.

Step-by-step explanation:

After burning for 2 hours, the length of a candle = 10 inches

After 3 hours the length of the candle = 8.5 inches

Therefore, the candle burn in 1 hour = 10 - 8.5 = 1.5 inches

In the question it is given that after 3 hours it is 8.5 inches tall and we have to calculate the length of the candle after 6 hours which means 3 more hours candle burn.

In 1 hour candle burn for = 1.5 inches

in 3 hours candle will burn = 1.5 × 3 = 4.5 inches

after 3 hours more of burning the length will be = 8.5 - 4.5 = 4.0 inches.

The candle be 4 inches tall after 6 hours.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

-9

step-by-step explanation: