Answer:
v ≈ (3.28512, 20.74146)
Step-by-step explanation:
v = 21(cos(81°), sin(81°))
v ≈ (3.28512, 20.74146) . . . . (x, y) components
The notation varies among authors. The vector can be written as ...
(r, θ) = (21, 81°)
r∠θ = 21∠81°
r cis θ = 21 cis 81°
v = 21·e^(i·9π/20)
(x, y) ≈ (3.28512, 20.74146)
v = 3.28512i +20.74146j . . . . perhaps this is the vector notation you want (i and j are unit vectors in the x- and y-directions, respectively)
Answer:
Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)
Parallel: slopes both = -1/3
1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.
I will show the work for both the problems down below.
Step-by-step explanation:
Finding coordinates:
1+(-5)/2=-2 5+1/2=3
(-2,3)
1+4/2= 2.5 5+(-2)/2= 1.5
(2.5,1.5)
Show work verifying the EG and BC are parallel:
You can do this by finding the slope
Slop formula (y2-y1)/(x2-x1)
(1.5-3)/(2.5-(-2))
Then simplify
-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.
Show work verifying that EG and BC are parallel:
Use distance formula to find how long each line is
√(x2-x1)^2+(y2-y1)^2
√(2.5-(-2)^2)+(1.5-3)^2
Simplify
√4.5+(1.5)=3
Do the same thing with BC and you will get 6
Here's 2 (almost) equations:
m<1 = m<3
m<1 + m<2 + m<2 + m<3 = 360
I got the first one because angle 1 and 3 are on opposite sides, so they must be equal. I got the second one because 2 and (unlisted) 4 must be equal, and all of the angles added must be 360.
Use PEMDAS to solve
(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Solve parenthesis first
<span>(1/3+9) x ( 8-3)
</span>28/3 x 5
Use Multiplication
28/3 x 5 ≈ 4.7
After rounding 4.7 should be your answer
Answer: $6.66
Explanation:
3.70 multiplied by 0.80 = 2.96.
3.70 + 2.96 = $6.66
