Answer:
<em>Volume of Triangular Prism: 180 m^3</em>
Step-by-step explanation:
<em>~ In order to find the cubic feet required to fill this object, we would apply a volume formula to the triangular prism, in other words: Base * height ~</em>
1. The following dimensions of the triangular Base is 5 meters by 6 meters, 5 being the height of this Base and 6 being the base of the Base. Now let us apply the area of a triangle formula: 1/2 * base * height ⇒ 1/2 * 6 meters* 5 meters ⇒ 15 <em>m^2</em>
2. Knowing the Base of the triangular prism, we can find the volume through multiplication of it's general height, which is 12 meters ⇒ 15 m^2 * 12 m. ⇒ <em>Volume of Triangular Prism: 180 m^3</em>
Answer:
Step-by-step explanation:
We are given two velocity vectors with its three components in unit notation:
Airplane's velocity:

Crosswind velocity:

Now, if we want to know the velocity of the airplane when it is affected by the wind, we have to add these two velocity vectors:

Adding both vectors:

Answer:
x = 6/7, y = 1/2
Step-by-step explanation:
7x + 2y = 7
-14x + 2y = -11
1) 7x + 2y = 7
2y = 7 - 7x
2) -14x + 2y = -11
-14x + 7 - 7x = -11
- 21x = -11-7
- 21x = - 18
x = 18/21 = 6/7
3) 2y = 7 - 7x = 7 - 7*(6/7) = 7 - 6 = 1
2y = 1
y = 1/2
Answer:
I think the answer is 56
Step-by-step explanation:
35 divided by 5 is 7, then you multiply 7 by 8 and you get 56
If these both men were working at normal hours, and then, (John) worked "2 more hours" than Gary has, this would just mean that he has worked more.
x+2= x+2.
Now if John has worked the double amount, 4 more times than Gary's usual hours, this would mean something quite different.
Then the expression would look like, (x+2×4x)
We don't know how many hours are the "usual hours", this is what "x" would then represent.
John has then worked (4×2+x) more hours than Gary.
Your answer: (4×2+x)