The coordinates to the second spot can be represented by the coordinates
(-12 + 3, 8 -11)
Since we are going 3 yards to the east we would be affecting the x-axis and since we are going east we will need to add 3 yards the x axis of the first spot
11 yards south would be affecting the y- axis negatively. We would need to subtract 11 from the y- axis of the first spot.
the coordinates of the second spot would be
-12 +3 = -9
8 -11 = -3
(-9, -3)
Answer: the length of string that been let out to fly the kite this high is 172.89 ft
Step-by-step explanation:
The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.
With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.
The height of the kite above the ground represents the opposite side of the triangle
To determine h, the length of the string that has been let out to fly the kite this high, we would apply the
Sine trigonometric ratio which is expressed as
Sine θ = opposite side/hypotenuse
Sin 57 = 145/h
h = 145/Sin57 = 145/0.8387
h = 172.89
I think first 80 and second 90
Answer:
n = 120i + 310j + 60k
p = 29i + 18j + 21 k
Total cost = $10,320
Step-by-step explanation:
Let n and p represent the vectors for number of products and prices respectively.
Also, the coordinates i,j and k represent cashews, walnut and Brazil nut respectively.
The vector form of the total number of bags ordered and the cost are;
n = 120i + 310j + 60k
p = 29i + 18j + 21 k
We can obtain the total cost by obtaining the dot product of the two vectors.
Total cost = n.p = (120i + 310j + 60k).(29i + 18j + 21 k)
C = 120×29 + 310×18 + 60×21
C = $10,320
Answer:
18 / 41
Step-by-step explanation:
(red marbles + orange marbles) / total number of marbles
7 + 11 / 7 + 5 + 12 + 6 + 11
18 / 41
