Answer: Step 5
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Reason:
The order of operations is PEMDAS
- P = parenthesis
- E = exponents
- M = multiplication
- D = division
- A = addition
- S = subtraction
The multiplication and division are on the same level of precedent, and the same goes for addition and subtraction. Some math textbooks may refer to PEMDAS as BODMAS, which is basically the same thing.
Notice how division comes before addition. So we must compute the 
portion first before adding in step 4.
This is what steps 4 and onward should look like
So that's why the error is in <u>step 5</u>
If there was parenthesis around the "2+10", and we had 
, then step 5 given by your teacher would be correct.
So the image below shows what quadrants are. From the top-right square, the order of quadrants goes from 1-4 in a counter-clockwise matter.
Quadrant I: Top-right square
Quadrant II: Top-left square
Quadrant III: Bottom-left square
Quadrant IV: Bottom-right square.
Any points that are on the bolded vertical line are on the y-axis, and any points on the bolded horizontal line is on the x-axis.
Shes is wrong because 30% of 80 is 24
Answer:
0.11
Step-by-step explanation:
7.26 / 66 = 0.11
hope this helps <3
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
