Answer:
2
Step-by-step explanation:
Aplicando la división, hay que el valor de A es dado por:
c) 5703
Una división es representada por:
![\frac{a}{b} = c + \frac{r}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20%3D%20c%20%2B%20%5Cfrac%7Br%7D%7Bb%7D)
En que:
En este problema,
, y también:
- Cociente de 247, o sea,
.
- Residuo maximo, que es 22, o sea,
.
![\frac{a}{b} = c + \frac{r}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20%3D%20c%20%2B%20%5Cfrac%7Br%7D%7Bb%7D)
![\frac{A}{23} = 247 + \frac{22}{23}](https://tex.z-dn.net/?f=%5Cfrac%7BA%7D%7B23%7D%20%3D%20247%20%2B%20%5Cfrac%7B22%7D%7B23%7D)
![A = 23(247) + 22 = 5703](https://tex.z-dn.net/?f=A%20%3D%2023%28247%29%20%2B%2022%20%3D%205703)
El valor de A es dado por:
c) 5703
Un problema similar, que tambíen envuelve división, es dado en brainly.com/question/14270856
Answer:
5
Step-by-step explanation:
EH = EG + GH;
17 = EF + FG + GH; EF = FG = 6;
17 = 6 + 6 + GH;
GH = 5
The volume of the balloon is ![2352\pi cc/min](https://tex.z-dn.net/?f=2352%5Cpi%20cc%2Fmin)
Explanation:
The radius of the balloon is increasing at a rate of 3 cm/min.
To determine the volume of the balloon when the radius is 14 cm, we shall use the formula ![V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
The rate of change of r with respect to time t is given by,
![\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bd%20t%7D%28r%29%3D3%20%5Cmathrm%7Bcm%7D%20%2F%20%5Cmathrm%7Bminute%7D)
Now, we shall determine the
![\begin{aligned}\frac{d}{d t}(V) &=\frac{d}{d t}\left(\frac{4}{3} \pi r^{3}\right) \\&=\frac{4}{3} \pi\left(3 r^{2}\right)\frac{d}{d t}(r) \\&=4 \pi r^{2}\frac{d}{d t}(r)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7Bd%7D%7Bd%20t%7D%28V%29%20%26%3D%5Cfrac%7Bd%7D%7Bd%20t%7D%5Cleft%28%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%5Cright%29%20%5C%5C%26%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%5Cleft%283%20r%5E%7B2%7D%5Cright%29%5Cfrac%7Bd%7D%7Bd%20t%7D%28r%29%20%5C%5C%26%3D4%20%5Cpi%20r%5E%7B2%7D%5Cfrac%7Bd%7D%7Bd%20t%7D%28r%29%5Cend%7Baligned%7D)
Now, we shall determine the
at
and substituting
, we get,
![\begin{aligned}\left(\frac{d V}{d t}\right)_{r=14} &=4 \pi r^{2} \frac{d}{d t}(r)\\&=4 \pi(14)^{2} (3)\\&=4 \pi 196 (3)\\&=2352\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cleft%28%5Cfrac%7Bd%20V%7D%7Bd%20t%7D%5Cright%29_%7Br%3D14%7D%20%26%3D4%20%5Cpi%20r%5E%7B2%7D%20%5Cfrac%7Bd%7D%7Bd%20t%7D%28r%29%5C%5C%26%3D4%20%5Cpi%2814%29%5E%7B2%7D%20%283%29%5C%5C%26%3D4%20%5Cpi%20196%20%283%29%5C%5C%26%3D2352%5Cend%7Baligned%7D)
Thus, The volume of the balloon is ![2352\pi cc/min](https://tex.z-dn.net/?f=2352%5Cpi%20cc%2Fmin)