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Liula [17]
3 years ago
10

You have saved $2,000 to take a trip anywhere in the world. Fill in the following budget below to help you plan your dream trip.

You may have to change things in your budget if you notice you’re going over $2,000. For example, you may need to reduce your trip to fewer nights. (Section 18.4) (only optional if no internet access) (2 points extra credit)
Dream Destination ______________________________ Number of Nights ___________ Expense Total budgeted for each expense for the entire trip Round-Trip Airfare Airline _______________ Cost per ticket _____________ (you can use orbitz.com, kayak.com, or expedia.com) Lodging (Circle one) Hotel or Airbnb Cost per night ____________ (you can check hotel prices on hotels.com and short-term vacation rentals on airbnb.com) Transportation (circle one) Car rental is $45 per day total Uber/taxis are $30 per day total Subway/buses are $10 per day total Food ____________ (write your best estimate) Miscellaneous (museums, concerts, tips for servers, souvenirs, etc.) __________ (write your best estimate) Total $ __________________________ Are you within your budget? __________ If not, reduce one expense or the number of nights you’re staying above.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

Answer:

Dream Destination Hawaii Number of Nights 4 Expense Total budgeted for each expense for the entire trip Round-Trip Airfare Airline 5,000 Cost per ticket dont know (you can use orbitz.com, kayak.com, or expedia.com) Lodging (Circle one) Hotel or Airbnb Cost per night dont know (you can check hotel prices on hotels.com and short-term vacation rentals on airbnb.com) Transportation (circle one) Car rental is $45 per day total Uber/taxis are $30 per day total Subway/buses are $10 per day total Food he (write your best estimate) Miscellaneous (museums, concerts, tips for servers, souvenirs, etc.) we (write your best estimate) Total $ ,780 Are you within your budget? yes If not, reduce one expense or the number of nights you’re staying above.

Step-by-step explanation:

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Answer: x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

Step by step:

1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}

(Used a table of common angles)

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