Answer:
see explanation
Step-by-step explanation:
The directed lines have the form < x, y >
With the usual notation
right in x- direction → +
left in x- direction → -
up in y- direction → +
down in y- direction → -
21
EF = < 4, 1 >
22
FG = < 4, - 2 >
23
GH = < - 4, - 2 >
24
EH = < 4, - 3 >
Answer: OPTION C.
Step-by-step explanation:
Observe the triangle ABC attached.
Notice that the angle of depression is represented with
.
Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of
by using arctangent:
![\alpha= arctan(\frac{opposite}{adjacent})](https://tex.z-dn.net/?f=%5Calpha%3D%20arctan%28%5Cfrac%7Bopposite%7D%7Badjacent%7D%29)
In this case you can identify that:
![opposite=260\\adjacent=270](https://tex.z-dn.net/?f=opposite%3D260%5C%5Cadjacent%3D270)
Therefore, substuting values into
, you get that the angle of depression is:
![\alpha= arctan(\frac{260}{270})\\\\\alpha=43.92\°](https://tex.z-dn.net/?f=%5Calpha%3D%20arctan%28%5Cfrac%7B260%7D%7B270%7D%29%5C%5C%5C%5C%5Calpha%3D43.92%5C%C2%B0)
Answer:
35%
Step-by-step explanation:
20×1=20
20×2=40
20×3=60
20×4=80
20×5=100
20×6=120
20×7=140
20×8=160
20×9=180
20×10=200
(Only include this if the table is up to 12)
20×11=220
20×12=240
Answer:
x = 3
y = 0
z = 8
Step-by-step explanation:
a) 3x + 3y - z = 1
b) z = 8
c) -x -3y + 2z = 13
a) 3x + 3y - 8 = 1 (substitution)
a) 3x + 3y = 9
c) - x - 3y + 2(8) = 13 (substitution)
c) -x - 3y + 16 = 13
c) -x - 3y = -3
(3x + 3y = 9) + (-x -3y = -3)
= 2x = 6
x = 3
a) 3(3) + 3y - 8 = 1
9 + 3y - 8 = 1
y = (1 -9 + 8)/3
y = 0