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
Usando proporciones, hay que Luis enviará 160 dólares a su familia.
<h3>¿Qué es una proporción?</h3>
Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.
En este problema, la regla de tres es dada por:
15 dólares - 8 envíados
300 dólares - n envíados
Aplicando multiplicación cruzada:
15n = 300 x 8
n = (300 x 8)/15
n = 160
Luis enviará 160 dólares a su familia.
Puede-se aprender mas a cerca de proporciones es brainly.com/question/26425852
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 25x to both sides.
Step 3: Subtract 16 from both sides.
Step 4: Divide both sides by 9.