Answer:
(-3, 3√3)
Step-by-step explanation:
Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.
6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)
= (-3, 3√3 i)
You may want the (x, y) coordinates written as (-3, 3√3).
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In the complex plane, this is -3+i·3√3.
Answer:
The box is 5 inches tall
Step-by-step explanation:
The given dimensions of the video games are;
The length of the video game, L = 15 inches
The width of the video game, W = 10 inches
The volume of the video game box, V = 750 cubic inches
Assuming that the shape of the video game box is a cuboid, we have;
The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H
∴ V = L × W × H
The height of the cuboid, H = V/(L × W)...(1)
Where, for the video game box;
L = Length = 15 in.
W = Width = 10 in.
V = Volume = 750 in.³
Plugging in the values of the variables in equation (1) gives;
H = V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.
The height of the box, H = 5 inches.
Answer:
x=3cm
Step-by-step explanation:
This is a basic proportion question.
2/18 = x/27
Step-by-step explanation:
step 1. this is a polynomial division problem
x^2 + 11x + 52
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step 2. (x -3) [ x^3 + 8x^2 + 19x + 13
step 3. x^3 - 3x^2
step 4. 11x^2 + 19x + 13
step 5. 11x^2 - 33x
step 6. 52x + 13
step 7. 52x - 156
step 8. R -> 169
step 9. Ans: x^2 + 11x + 52 R 169
