Answer: 105 packs
Step-by-step explanation: The correct answer is 105 packs of table tennis balls. You need a total of 626 balls, so you divide this by 6 because that is what a standard package contains. The formula is 626/6 = 104.3. You will need 104 packs plus .3 of a pack, which means that you need to round it up to 105 packs of table tennis balls.
Answer:
(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.
Step-by-step explanation:
From the figure, the coordinate of the tail of the vector,

The coordinate of the head of the vector,

The magnitude of a vector is the length between the head and tail of the vector.
By using the distance formula,
the magnitude of the vector 

Now, let
be the angle made by the vector with the positive direction of the x-axis, so

So, the magnitude of the vector is
which makes
with the positive direction of the x-axis.
Hence, option (B) is correct.
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:

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:

Ahora, el ancho del río es:

Por lo tanto, el ancho del río es 59.9 metros.
Espero que te sea de utilidad!
Answer:
20 homes
Step-by-step explanation:
Given that :
Total number of homes = 800
Average years at which homes are listed = 8 years
To obtain the annual home listing = total number of Homes / average years
Annual home listing = 800 / 8
Annual home listing = 100 homes
If 20% of the homes are listed on the year in question :
20% of 100 homes
0.2 * 100
= 20 homes
20 homes can be listed that year
8x -5+2 x
8x+2x-5 ( combine like terms)
answer:
10x-5 or -5+10x