Answer:
he has 472 points now.
Step-by-step explanation:
Answer:
multiply by the reciprocal
Step-by-step explanation:
when you divide fractions, you can use the method KCF or keep change flip. you would keep the first fraction as it is, change the division sign to a multiplication sign, and find the reciprocal of the second fraction. finally, you multiply both the numerators and the denominators together and you get your answer
28. 220 yards is 660 feet and you have to multiply by 12 so you get 7920.
29. 100 feet is 1200.
30. You have to multiply by 12 to get feet and multiply by 3 to get yards and then you get 1728.
31. You have to multiply by 10 so you get 216.
There are 6 6th roots of 64 To find them, first write 64 in polar form:
64 = 64(cos0 + isin0)
<span>If z = r(cosθ + isinθ) is a 6th root of 64, then z<span>6 </span>= 64</span> By DeMoivre's Theorem, this gives us:
<span>r6[cos(6θ) + isin(6θ)] = 64[cos0 + isin0]</span>
<span>So, r6 = 64 and 6θ = 0° + k(360°)
</span> r = 2 and θ = k(360°)/6 = k(60°), k = 0, 1, 2 ,...
If z is a 6th root of 64, then z = 2[cos(k(60°)) + isin(k(60°))], where k = 0, 1, 2, ...
1st 6th root (set k = 0): 2[cos0° + isin0°] = 2
2nd 6th root (set k = 1): 2[cos60° + isin60°] = 1 + √(3) i
3rd 6th root (set k = 2): 2[cos120° + isin120°] = -1 +√(3) i
4th 6th root (set k = 3): 2[cos180° + isin180°] = -2
5th 6th root (set k = 4): 2[cos240° + isin240°] = -1 - √(3) i
<span>6th 6th root (set k = 5): 2[cos300° +isin300°] = 1 - √(3) i</span>