Mathematics College

Supón que fabricas anillos para servilletas
taladrando agujeros de radio r = 2.5 cm a
través del centro de una esfera de madera de
radio R=4 cm. ¿Cuál es la cantidad de ma
dera que sale de la perforación, si los anillos
quedan con una altura de 6 cm?

Answers

Answer 1

Se debe remover aproximadamente 140.848 centímetros cúbicos de madera para reducir las esferas a anillos con altura de 6 centímetros.

En esta cuestión se precisa calcular el volumen de la esfera y sustraer los volúmenes de dos casquetes esféricos de igual cantidad [1] y un cilindro recto respectivo a la operación de taladrado. [2] La cantidad de madera a remover queda definida por la siguiente expresión:

[tex]V = \frac{2\pi}{3}\cdot h^{2}\cdot (3\cdot R - h) + \pi\cdot r^{2}\cdot (2\cdot R-2\cdot h)[/tex] (1)

Donde:

[tex]V[/tex] - Volumen removido de madera, en centímetros cúbicos.[tex]h[/tex] - Altura del casquete esférico, en centímetros.[tex]R[/tex] - Radio de la esfera, en centímetros. [tex]r[/tex] - Radio del agujero, en centímetros.

Si sabemos que [tex]h = 1\,cm[/tex], [tex]R = 4\,cm[/tex] y [tex]r = 2.5\,cm[/tex], entonces la cantidad de madera a remover es:

[tex]V = \frac{2\pi}{3}\cdot (1\,cm)^{2}\cdot [3\cdot (4 \,cm) - 1\,cm] +\pi\cdot (2.5\,cm)^{2}\cdot [2\cdot (4\,cm)-2\cdot (1\,cm)][/tex]

[tex]V \approx 140.848\,cm^{3}[/tex]

Se debe remover aproximadamente 140.848 centímetros cúbicos de madera para reducir las esferas a anillos con altura de 6 centímetros.

Invitamos cordialmente a consultar esta pregunta sobre volúmenes: https://brainly.com/question/16127188

Supn Que Fabricas Anillos Para Servilletastaladrando Agujeros De Radio R = 2.5 Cm Atravs Del Centro De

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Multiply 25 by the difference of 34.78 and 12.99.

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544.75 . Hope this helped !
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Answer:

Step-by-step explanation:

If a:b= 1:2 then find the value of (3a+b) : (4a+ 2b)
​

Answers

Answer:

(3a + b) : (4a +2b) = 5 : 8

Step-by-step explanation:

For:

[tex]a : b = 1 : 2[/tex]

Express these ratios into fractions:

[tex] \frac{a}{b} = \frac{1}{2} [/tex]

Simplify:

[tex]2a = b - - - \{eqn \: (n) \}[/tex]

For:

[tex](3a + b) : (4a +2 b)[/tex]

Express into fractions:

[tex] = \frac{(3a + b)}{(4a + 2b)} \\ [/tex]

substitute for b as 2a from equation (n):

[tex] = \frac{(3a + 2a)}{(4a + 4a)} \\ \\ = \frac{5a}{8a} \\ \\ = \frac{5}{8} [/tex]

express into ratios:

[tex] = 5 : 8[/tex]

A new popular midsize car has a retail price of $25,000. The midsize car's value M(t) is given by the exponential model M of t is equal to 25,000 times the quantity four fifths to the power of t where t represents the time in years. Identify the domain, in yearly intervals, that contains all the years the car's value is less than $1,000.
[13, ∞)
[14, ∞)
[15, ∞)
[16, ∞)

Answers

Answer:

Its C

Step-by-step explanation:

Just finished the homework and got it right

Using exponential functions, it is found that the correct option is given by:  [15, ∞)

-------------------------

The exponential function given in this exercise is:

[tex]M(t) = 25000(\frac{4}{5})^t[/tex]

-------------------------

The domain that contains all the years the car's value is less than $1,000 is composed by the values of t for which:

[tex]M(t) < 1000[/tex]

Thus, we have to solve the exponential inequality.

[tex]M(t) < 1000[/tex]

[tex]25000(\frac{4}{5})^t < 1000[/tex]

[tex](\frac{4}{5})^t < \frac{1}{25}[/tex]

[tex]\log{(\frac{4}{5})^t} < \log{\frac{1}{25}}[/tex]

[tex]-0.0969t < -1.39794[/tex]

[tex]0.0969t > 1.39794[/tex]

[tex]t > \frac{1.39794}{0.0969}[/tex]

[tex]t > 14.43[/tex]

Rounding, t greater than 15 years, and the correct option is:

[15, ∞)

A similar problem is given at https://brainly.com/question/16056918

Evaluate 2a2+5/7+b when a=−6 and b=−2

Answers

Step-by-step explanation:

2a^2+5/7+b

a= -6

b= -2

solution

2(-6 x -6 )+5/7 +-2

2(36)+5/7+( -2 )

2x36=72

so it will be

72+5/7+ (-2)

72+5=77

77/7+(-2)

= 11+(-2)

=9

9 is the answer.

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Answers

Answer:

Quadrant II - +

Step-by-step explanation:

3,-4 translated 5 up is 3,1 then 4 units left is -1,1

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Answers

Answer:

9

Step-by-step explanation:

The first operation is what inside the braces

1-first comes the multiple and the division

2- then the + and the -

1- (25-36)+5(8-4)

2- (25-36) + 5×4

3- (-11) + 20 =9

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Answers

Yes

Step-by-step explanation:

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if we divide 24 ÷ 8 = 3

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2/3

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Can someone explain how to do this?

Answers

Answer:

12°

Step-by-step explanation:

The two shaded angles are alternate-interior angles

(Either side of the transversal line, and inside both parallel lines, AB||CD)

10x + 5 = 12x - 19

10x + 24 = 12x

24 = 2x

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If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x=12

Step-by-step explanation:

You set 10x+5 equal to 12x-19. then you solve like a regular equation to get x

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Answer:

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Step-by-step explanation:

f(x) =

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f(g(x) =

[tex] \sqrt{8x \: - 13} \: + \: 9[/tex]

Thank you in advance.

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Answer:

False.

Step-by-step explanation:

x = 0 would be the only solution to make the statement true. Anything other than x = 0 will make the statement false.

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Answers

Answer:

0 because 1-1=0 and that is the answer

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Answers

9514 1404 393

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  130°

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Answer:

5(8-m)

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Step-by-step explanation:

HELP PLEASE GIVING BRAINLIEST

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Answer:

8i + 5j - 3i - 2j

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Step-by-step explanation:

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Answer:

1.2 is less so your answer should be 1.2.

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If you're measuring mountains, they're both huge.

If you're measuring green peas, they're both small.

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Answers

Answer:

3[tex]\sqrt{11}[/tex]

Step-by-step explanation:

[tex]\sqrt{99}[/tex] = 3[tex]\sqrt{11}[/tex]

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Answer:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

Prime Factorization of 51:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

[tex]4(744+29)=\\4(773)=\\3092[/tex]

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clara weighed six pieces of chicken on the scales.if each piece weighed 0.8kg, how much did all the chicken weigh together?

Answers

Answer:

The answer is 4.8 kg. Just do 6 x 0.8                                                                                                        

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Answers

Answer:

x = 43

Step-by-step explanation:

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the village pawnshop will lend you up to 70% of the value of your collateral. Alice wants to use a $2,400 computer and a $900 saxophone as collateral for a loan. what is the maximum amount she could borrow from this pawnshop?

Answers

Answer:

Step-by-step explanation:

Add the two amounts together.

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Answer:

4x is the answer

did the assignment

A total of 920 widgets are being packed and shipped in boxes that hold a maximum of
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Answers

Answer:

10

Step-by-step explanation:

1 widget = 70g

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Step-by-step explanation:

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Answer:

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