Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Use an addition or subtraction formula to find the exact value of the expression, as demonstrated in example 1. tan(105°)
The volume of the baseball, to the nearest cubic inch, is A. 6 inches³
Volume is a degree of occupied three-dimensional space. it is often quantified numerically as the usage of SI-derived devices or with the aid of various imperial units.
Whereas the fundamental method for the region of a rectangular form is period × width, the fundamental formulation for volume is duration × width × top. How you talk to the distinctive dimensions does no longer exchange the calculation: you may, as an example, use 'depth' instead of 'peak'.
Quantity is the measure of the capacity that an object holds. For instance, if a cup can keep 100 ml of water as much as the brim, its volume is said to be 100 ml. Quantity can also be defined as the quantity of space occupied by way of a three-dimensional object.
The volume of a sphere is calculated by the formula:
= 4/3 x π x radius ³
A baseball is a sphere and in this case, its radius is 1.13 inches.
The volume of the baseball is:
= 4/3 x 22/7 x 1.13³
= 4/3 x 22/7 x 1.442897
= 6.0464 inches³
To the nearest inch it is:
= 6 inches ³
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Note for probability, if it will never happen the P = 0. If it must happen P = 1.
So certain to happen:
C. P=1
