47/n = 36/54
Answer:
Step-by-step explanation:
The candle is cylindrical in shape.
The formula for determining the volume of a cylinder is expressed as as
Volume = πr²h
Where
π = 3.14
r represents radius of the cylinder and also the candle
h represents the height of the cylinder and also the candle.
Looking at the diagram,
r = 4 cm
h = 6 cm
Volume of candle = 3.14 × 4² × 6
= 301.44 cm³
Looking at the table,
60 cm³ of the candle melts off in 2 hours, it means that the in one hour, the volume of candle that melts off would be 60/2 = 30cm³
Therefore, in 7 hours, the volume of candle that would melt off is
30 × 7 = 210 cm³
Therefore, the percent of candle that is melted off after 7 hours would be
210/301.44 × 100 = 69.67%
Approximately 70% to the nearest percent.
Answer:
After 7 hours about 70% of the candle was melted
names of sides and lengths.
As per the question no (a) The areas corresponding to each other are triangles ABC and DEF, and the common ratios are AB/DE = 5/2 and BC/EF = 5/2. Lets find the solution :-
Now,
In triangles ABC and DEF, we have the following:-
∠A and ∠D are congruent, so we can say ∠A = ∠D.
∠C and ∠F are congruent, so we can say ∠C = ∠F.
Now, to find which areas correspond, let's compare the ratios of corresponding sides:-
AB/DE = 15/6 = 5/2
BC/EF = 20/8 = 5/2
These ratios are equal, indicating that sides AB and DE correspond, and sides BC and EF correspond. So, the areas corresponding to each other are triangles ABC and DEF, and the common ratios are AB/DE = 5/2 and BC/EF = 5/2.
Learn more about triangles:
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