Trini rode her bike 12 miles on Friday. She rode 14 miles on Saturday and 15 miles on Sunday. How many miles did she ride in all
1 answer:
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The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
<h3>What is a complex number?</h3>It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number shown in the picture:
-7i(3 + 3i)
= -7i
In trigonometric form:
z = 7 (cos (90) + sin (90) i)
= 3 + 3i
z = 4.2426 (cos (45) + sin (45) i)
=21-21i
After converting into the exponential form:
From part (b) and part (c) both results are the same.
Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
Learn more about the complex number here:
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Answer: 586.59 cubic centimeters .
Step-by-step explanation:
As per given . we have
Inner diameter = 1.8 inches
⇒Inner radius :r = 0.9 in. (radius is half of diameter)
= 0.9 x (2.54) = 2.286 cm [∵ 1 in . = 2.54 cm]
Outer diameter = 2 inches
⇒Outer radius : R = 1 inch = 2.54 cm
Height : h = 5 feet = 5 x(30.48) = 152.4 cm [∵ 1 foot = 30.48 cm]
The formula to find the volume of a hollow cylinder :
, where R= outer radius , r= inner radius and h= height.
Now , the volume of metal in the conduit :
Hence, the volume of metal in the conduit is 586.59 cubic centimeters .