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snow_tiger [21]
3 years ago
10

Help me please and ty

Mathematics
1 answer:
pav-90 [236]3 years ago
3 0

Answer:                                                                                                                       3m

And I had to write something for this to be ong enough so thats what this is:)

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A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.
emmainna [20.7K]
The surface area of the sphere is:
 A = 4 * pi * r ^ 2
 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
 r '= A' / (8 * pi * r)
 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
 V '= 36 inch3 / sec
 Answer:
 
the volume of the ice is changing at 36 inch3 / sec at that moment
4 0
3 years ago
¿Cuánto recorre aproximadamente una rueda que da 60 vueltas si ésta tiene un radio de 0.20 m?
damaskus [11]

La rueda recorre una distancia de 75.420 metros tras 60 vueltas. (Correct choice: A)

<h3>Cuánta distancia recorre una rueda que da 60 vueltas?</h3>

La rueda se desplaza sobre el suelo mediante un tipo de movimiento conocido como rodadura, en la que la rueda experimenta rotación y traslación, cuyo centro instantáneo de rotación es el punto de contacto entre la rueda y el suelo.

Si no existe deslizamiento de la rueda con respecto al suelo, entonces la distancia recorrida tras una revolución de la rueda (s), en metros, es descrita por la siguiente ecuación:

s = 2π · r         (1)

Donde r es el radio de la rueda, en metros.

Si tenemos que r = 0.20 m, entonces la distancia recorrida es:

s = 2π · (0.20 m)

s ≈ 1.257 m

Asimismo, la distancia recorrida es directamente proporcional al número de revoluciones de la rueda es y la distancia recorrida tras 60 vueltas es determinada por regla de tres simple:

S = 60 vueltas × (1.257 m / 1 vuelta)

S = 75.420 metros

La rueda recorre una distancia de 75.420 metros tras 60 vueltas.

Para aprender más sobre el movimiento de ruedas: brainly.com/question/2862170

#SPJ1

4 0
1 year ago
Please help!! Time limit!
gavmur [86]

Answer:

Step-by-step explanation:

92÷2= 46

188÷ 1/4=752

276÷ 1/6= 1656

So the third one is the answer

6 0
3 years ago
The table shows the height of a tree for various years after it was planted. Using the line of best fit, how tall would the tree
katrin2010 [14]
The answer is C) 37 feet
6 0
3 years ago
X power to 11 +101 divisible by x+1 then what is the remainder
emmasim [6.3K]

Answer:

110

Step-by-step explanation:

Let's define P(x) = x^{11} + 101. So when we divide it by 'x+1', we can use Bezout's Theorem which states: that any polynomial(P(X)) divided by another binomial in the form 'x - a', then the remainder will be P(a).

We can use this fact to determine the remainder, because we divided our P(X) by x + 1 which is the same as x - (-1). So we plug in P(-1).

P(-1) = (-1)^11 + 101 = -1 + 101 = 110

6 0
3 years ago
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