Answer:
4m
Step-by-step explanation:
- v=4/3 pi r^3
- substitute 267.95=4/3×3.14×r^3
- 267.95= 12.56r^3/3
- multiply by the reciprocal on both sides 64=r^3
- find the cuberoot on both sides to remove the cube hence 4=r
Answer:
The inequality is 9 less than and equal to 5
The marked area on the line is numbers all below 5 which covers the less than and since it stop directly at 5 it's going to be equal to that as well
Answer:
76.75 is 25% of 307
Step-by-step explanation:
Answer:
Step-by-step explanation:
If we call the points she scored in the last game x, we can actually write out an equation to describe what is being said. 20=11+(3/5)x. Hopefully that makes sense. 3/5 of the previous score plus 11 is 20. Anyway, you can just solve this algebraic expression for x.
20=11+(3/5)x subtract 11 from both sides
9 = 3/5 x Multiply both sides by 5
45 = 3x then divide both sides by 3
15 = x And there you go.
Answer:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i
Explanation:
Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.
Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.
The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:
Then, the work consists in finding pairs (a,b) for which:
You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

I will use b =0.5, b = 1, b = 1.5, b = 2

Then, four distinct complex numbers that have an absolute value of 3 are:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i