4 - -2
,...........................
Answer:
Step-by-step explanation:
The absolute value of z is the distance between the point graphed from the complex number and the origin on a complex plane. In a complex plane, the x axis is replaced by R, real numbers, and the y axis is replaced by i, the complex part of the complex number. Our real number is positive 3 and the complex number is -5, so we go to the right 3 and then down 5 and make a point. Connect that point to the origin and then connect the point to the x axis at 3 to construct a right triangle that has a base of 3 and a length of -5. To find the distance of the point to the origin is to find the length of the hypotenuse of that right triangle using Pythagorean's Theorem. Therefore:
and
and

Answer:
The correct answer is first option. 270 m³
Step-by-step explanation:
Formula:
Volume of prism = Base area * Height
Area of triangle = bh/2 where b - base and h - height
From the figure we can see that height of prism = 36 m
Base is a right angled triangle with base 5 m and height = 3 m
<u>To find the Base area</u>
Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5
<u>To find the volume of prism</u>
Volume = Base area * height = 7.5 * 36 = 270 m³
Therefore the correct answer is first option . 270 m³