Answer:
The answer is either 9/200 (nine two-hundreths) or 22
Answer:
El ancho del río es 59.9 metros.
Step-by-step explanation:
El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:
![tan(\theta) = \frac{CO}{CA}](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%20%3D%20%5Cfrac%7BCO%7D%7BCA%7D)
En donde:
CA: es el cateto adyacente = Altura de la torre = 28.2 m
CO: es el cateto opuesto = ancho del río =?
θ: es el ángulo adyacente a CA
Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:
![\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%2890%20-%2025.2%29%5E%7B%5Ccirc%7D%20%3D%2064.8%20%5E%7B%5Ccirc%7D)
Ahora, el ancho del río es:
![CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m](https://tex.z-dn.net/?f=CO%20%3D%20tan%28%5Calpha%29%2ACA%20%3D%20tan%2864.8%29%2A28.2%20%3D%2059.9%20m)
Por lo tanto, el ancho del río es 59.9 metros.
Espero que te sea de utilidad!
Answer:
2.404 x 10^6?. A. the population of Iowa. B. the diameter (in meters) of an atom. C. the thickness (in meters) of a sheet of printer paper. D. the amount of money (in US dollars) in the average checking account. .
When 2.404 x 10^6 is expressed in another form, the number is equal to 2,404,000. The population of a place would possibly be around this number. It cannot be the diameter of an atom since the number is too large not the thickness of a paper. It is not a common case also that the money in a bank account is around this number. Answer is A.
If the series is made up of numbers in an arithmetic progression, you have
![\displaystyle\sum_{n=1}^{18}a_n=\sum_{n=1}^{18}(a_1+(n-1)d)=18a_1+153d=4185](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%7B18%7Da_n%3D%5Csum_%7Bn%3D1%7D%5E%7B18%7D%28a_1%2B%28n-1%29d%29%3D18a_1%2B153d%3D4185)
where
![a_1](https://tex.z-dn.net/?f=a_1)
is the first term and
![d](https://tex.z-dn.net/?f=d)
is the common difference between terms.
Since the last term in the series is
![a_{18}=275](https://tex.z-dn.net/?f=a_%7B18%7D%3D275)
, you have
![a_{18}=a_1+(18-1)d\implies a_1+17d=275](https://tex.z-dn.net/?f=a_%7B18%7D%3Da_1%2B%2818-1%29d%5Cimplies%20a_1%2B17d%3D275)
Solve the system
![\begin{cases}18a_1+153d=4185\\a_1+17d=275\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D18a_1%2B153d%3D4185%5C%5Ca_1%2B17d%3D275%5Cend%7Bcases%7D)
and you'll find that the first term is
![a_1=190](https://tex.z-dn.net/?f=a_1%3D190)
(with
![d=5](https://tex.z-dn.net/?f=d%3D5)
).
Answer: The number is 40
Step-by-step explanation:
We will set up an equation where 4/5 is being multiply by the number to get 32. we will represent that number by x
4/5 * x = 32 solve for x
4/5x = 32
0.8x = 32
x = 40