Answer:
8.40
Step-by-step explanation:
Answer:
The candle will not use all the paraffin from the original block.
Step-by-step explanation:
The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.
If the height of the cone is 25 cm, then total volume of the cone shaped candle is
= 
= 163.69 cubic cm.
Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.
Since, 192 > 163.69
Therefore, the candle will not use all the paraffin from the original block.
Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
Answer:
40 times
Step-by-step explanation:
8 times per 2 months
10 months / 2 months = 5 months
5 months x 8 times = 40 times
Answer:
Step-by-step explanation:
3x-4y=65
3x=65+4y
x=(65+4y)/3, when y=4
x=(65+4*4)/3
x=(65+16)/3
x=81/3
x=27
