Volume of the first aquarium = (12" x 13" x 14") = 2,184 inches³
Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³
The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.
So it'll take the hose 17.44 times as long to fill the second one
= (17.44) x (2 minutes) = 34.9 minutes.
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:
brainly.com/question/10251853
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Answer:
430 billion (430,000,000,000) is 4.3 x 10^11 in scientific notation
Answer:
.00019
Step-by-step explanation:
.00019
first 0: tenths
2nd 0: hundredths
3rd 0: thousandths
4th 1: ten thousandths
5th 9: hundred thousandths