Describe the locus of points z satisfying each of the following equations (b) z-1z 2|; (c) rez 3 (a) zi2;

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Ответ:

AliMe52

13.05.2021

Mathematics

image is missing in the question. refer to the attached image.

this question is based on concept of volume of solid figures.

volume of oblique prism is given by =base area $\times$ height

since an oblique prism has trapezoidal bases.

so, area of trapezoid = $\frac{1}{2} \times h (a+b)$

since height of trapezoid, h=x , a=x and b=2x

therefore,

area = $\frac{1}{2} \times x (x+2x)$

area = $\frac{1}{2} \times 3x^{2}$

given that the vertical height of the prism is 10 units.

so, the volume of prism = base area $\times$ height

$=\frac{1}{2} \times 3 \times x^{2} \times 10$

= $15 x^{2}$ cubic units.

therefore, option 2 is the correct answer.

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