The volume of a cone varies jointly with the area of the base and the height of the cone.

where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is

Now we use the second set of info, the height and the volume, and we find the area of the base.




Answer: the area of the base is 31 cm^2
Hello,
0>=-|0-4|-3==>0>=-4-3==>0>=-7 True
1>=-|-1-4|-3==>1>=-5-3==>1>=-8 True
-4>=-|4-4|-3==>-4>=0-3==>-4>=-3 FALSE
2>=-|-3-4|-3==>2>=-7-3==>2>=-10 True
Answer C
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This will help you find what your looking for
Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.
Answer:
Net_change_in_depth = 450/7 ft = 64 2/7 ft
Step-by-step explanation:
Missing info attached below
Depth_of_the_frequency_signal = -180 4/7 ft = -1264/7 ft
Depth_of_the_submarine = -116 2/7 ft = -814/7 ft
Net_change_in_depth =
Depth_of_the_submarine - Depth_of_the_frequency_signal
Net_change_in_depth = -814/7 ft - (-1264/7 ft)
Net_change_in_depth = 450/7 ft = 64 2/7 ft