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Answer:
d. 76(cos(3π/16) +i·sin(3π/16))
Step-by-step explanation:
To form the product of 38cis(π/8) and 2cis(π/16), multiply the magnitudes and add the angles:
38cis(π/8) × 2cis(π/16) = (38×2)cis(π/8 +π/16) = 76cis(3π/16)
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In this context, a·cis(b) ≡ a(cos(b) +i·sin(b))
Answer: The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
Answer:
It will grow 37.5 inches
Step-by-step explanation:
It grew 7.5 in 3 weeks. Divide 7.5 by 3 and you'll get 2.5. So that means every week it grows 2.5 inches. So multiply 2.5 x 15 and you'll get 37.5 inches
(a) She spends 5/12 of the day awake at home
(b) She spends 10 hours awake at home
