$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
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sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
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cos(\theta)=\pm\sqrt{1-sin^2(\theta)}\\\\
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cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\implies cot(\theta)=\cfrac{\pm\sqrt{1-sin^2(\theta)}}{sin(\theta)}$

6 0

3 years ago

] Monica Geller, head chef at Allesandro's and is looking to update the commercial equipment in her kitchen and bar that will al

liubo4ka [24]

Answer:

The maximum amount that should be spent on the upgrade is $38,298,000.

Step-by-step explanation:

Let the initial purchase be x.

The ROI = 15% of x = 0.15x

At the end of 4 years, salvage value = 10% of x = 0.1x

Current income per day = $16 × 230 = $3680

Expected income per day = $21 × 245 = $5145

Increase in income per day = $5145 - $3680 = $1465

For 4 years (assuming a year is 365 days),

Increase in income = $1465 × 365 × 4 = $2138900

Maintenance and utility cost for 4 years = 4 × $56000 = $224000

At the end of 4 years,

ROI = $2138900 + salvage value = $2138900 + 0.1x - $224000

0.15x = $1914900 + 0.1x

0.05x = $1914900

x = $38298000

5 0

3 years ago

Read 2 more answers

Simplify 3 - (4x - 5) + 6. A)12x + 21 B) 4x + 14 C) 4x + 4 D) -4x + 14

mamaluj [8]

Hello! The question simplified is 4x + 14. This is because when you have a negative symbol in front of the numbers you need to distribute, you change the numbers inside into the opposites, and then multiply by -1. When you do this, you get 3 + 4x + 5 + 6. When you combine like terms, you get 4x + 14. The answer is B: 4x + 14.

3 0

3 years ago

Read 2 more answers

You have $7.45. You buy 8 items that cost $0.83 each. How much money do you have left

Agata [3.3K]

Answer:

$0.81

Step-by-step explanation:

left

$7.45-8(0.83)=7.45-6.64=0.81$

I hope I have helped you

6 0

2 years ago