The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
Answer:
The cost of 1 doll = $ 7.5
and The Cost of 1 toy train = $ 5
Step-by-step explanation:
Let the price of 1 doll = $ x
The price of 1 toy train = $ y
Now, according to the question:
6 x + 2 y = $ 55
and 4 x + 7 y = $ 65
Solving the given system of equation,
From (1), we get


or, solving for y , we get
110y - 4y + 21 y = 195
or, 17 y = 85
⇒ y= 85/17 = 5
This implies : 6 x + 2 (5) =55
or, 6x = 55 - 10 = 45
or, x = 45/ 6 = 15/2
Hence, the cost of 1 doll = x = $ 7.5
and the Cost of 1 toy train = y = $ 5
Answer:
x = 9/11
Step-by-step explanation:
x + 5 = 12x - 4
Subtract x from both sides
x + 5 - x = 12x - x - 4
5 = 11x - 4
Add 4 to both sides
5+ 4 = 11x - 4 + 4
9 = 11x
Divide both sides by 11
9/11 = 11x/11
9/11 = x
x = 9/11
The inequality can be:

Now you divide both sides by 150 to get the #of boxes.

Lastly, x is 20. So the maximum amount of boxes that the freight elevator can hold is 20
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