Find the area of the shape shown below.
2 answers:
Answer:
28 square units.
Step-by-step explanation:
Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.
As we see in the figure the area of the triangle is
.
The area of the bigger rectangle is (it's actually a square )
,
and the area of the smaller rectangle is
.
Therefore, the total area of the shape is
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Answer:
Step-by-step explanation:
A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>
Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.
Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.
Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.
Hence, the complex number that has polar coordinate of (4,-45°) is