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erastova [34]
3 years ago
6

Find the exact volume of a waffle ice cream cone with a 9​-in. diameter and a height of 15 inches.

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

The volume of a cone is:

V_{cone}=\dfrac{1}{3}\pi r^2h, where r is base's radius, h is cone's height.

If diameter is 9 in, then radius is 4.5 in and

V_{cone}=\dfrac{1}{3}\pi (4.5)^2\cdot 15=101.25\pi.

Answer: V_{cone}=101.25\pi.

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A flagpole is 12 feet tall. Its shadow is 14 ft long. How far is it from the top of the
Kisachek [45]

Answer:

Step-by-step explanation:

AC = length of flagpole = 12 ft

AB = length of shadow = 14 ft

BC = length from the top of the flagpole to the end of the shadow = x ft

Use Pythagorean theorem to find the length of x,

x² = AC² + BC²

   = 12² + 14²

  = 144 + 196

  = 340

x = √340

x = 18.4 ft

3 0
2 years ago
En la preparación de un perfume se cuenta con dos tipos de esencia base: 1600 ml de una y 1680 ml de otra. Se quiere envasarlas,
Lostsunrise [7]

Answer:

33,600 frascos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encuentre y enumere los múltiplos de 1600 y 1680 hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.

Múltiplos de 1600:

1600, 3200, 4800, 6400, 8000, 9600, 11200, 12800, 14400, 16000, 17600, 19200, 20800, 22400, 24000, 25600, 27200, 28800, 30400, 32000, 33600, 35200, 36800

Múltiplos de 1680:

1680, 3360, 5040, 6720, 8400, 10080, 11760, 13440, 15120, 16800, 18480, 20160, 21840, 23520, 25200, 26880, 28560, 30240, 31920, 33600, 35280, 36960

Por lo tanto,

LCM (1600, 1680) = 33,600

La menor cantidad de frascos necesarios es 33,600 frascos.

4 0
3 years ago
How old do you got to be to drop out
bazaltina [42]

Answer:

Step-by-step explanation:

high school with pariantal consent

6 0
3 years ago
-12<-6x please help
pishuonlain [190]
-12 < -6x

-12/-6 > x    divide both sides by -6

12/6 > x      two negatives makes a positive

2 > x            simplify

x < 2           
switch sides

hope this helps, God bless! 
6 0
3 years ago
Evaluate (a + b)^2 for a = 2 and b = 3.
shepuryov [24]
Hope this helps you!!!

3 0
3 years ago
Read 2 more answers
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