Answer:
451 cm^3
Step-by-step explanation:
V = Bh (base area and height multiplied)
41 cm^2 x 11 cm = 451 cm^3
<span>b-3/15=-1
We simplify the equation to the form, which is simple to understand
<span>b-3/15=-1
Simplifying:
<span>b-0.2=-1
We move all terms containing b to the left and all other terms to the right.
<span>+1b=-1 + 0.2
We simplify left and right side of the equation.
<span>+1b=-0.8
We divide both sides of the equation by 1 to get b.
<span>b=-0.8
</span></span></span></span></span></span>
Given that
In a Parallelogram CARS ,∠C = (5x-20)°
∠A = (3x+20)°
angle C and angle A are adjacent angles
We know that
In a Parallelogram the adjacent angles are supplementary.
⇛∠C + ∠A = 180°
⇛ (5x-20)°+(3x+20)° = 180°
⇛5x°-20°+3x°+20° = 180°
⇛(5x°+3x°)+(20°-20°) = 180°
⇛8x°+0 = 180°
⇛8x° = 180°
⇛ x° = 180°/8
⇛ x° = 22.5°
<u>Answer</u>:-The value of x = 22.5°
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The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
With every imaginary term, there are 2 complex conjugates with opposing signs. So if I had the term a+bi, the complex conjugate would be a-bi. So given your example of -1+4i, the complex conjugate would just be the opposite sign, now negative, to get -1-4i.
