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julia-pushkina [17]
3 years ago
5

Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to wor

k and back. What equation can be used to find how many days, that Elena drove to work last week
Mathematics
2 answers:
Nadusha1986 [10]3 years ago
6 0
35 miles back and forth is 2 times a day so 35x2 is 70 so 70x7 for 7 days a week
NikAS [45]3 years ago
4 0

Answer:

35×7=56 is a AWNSER djndhei

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3 years ago
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Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

sinθ = ¹/₂[e^jθ - e^(-jθ)]

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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