Rectangular form:
z = -2.1213203-2.1213203i
Angle notation (phasor):
z = 3 ∠ -135°
Polar form:
z = 3 × (cos (-135°) + i sin (-135°))
Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)
Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)
Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034
Answer:
if the "x" is a multiplication symbol, the answer is 2.
Step-by-step explanation:
Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:
Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:
Then, you can find the height:
Then, knowing that:
You can calculate the volume:
Answer:
-9 / 14
Step-by-step explanation:
Product means multiply
3/4 x -6/7 = -9 / 14
Answer:
18 yards of material needed to make 24 shirts
Step-by-step explanation:
The unit rate is
1 shirt
------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard
0.75 yards material
This rate could also be written as 3/4 yard per shirt
Multiply this latter rate by 24 shirts:
3 yard
-------------- * 24 shirts = 18 yards of material needed to make 24 shirts
4 shirt
