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Stella [2.4K]
3 years ago
14

Find the acute angle formed by line 2y=x+1​

Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer:

26.57°

Step-by-step explanation:

2y = x + 1 \\ y =  \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m =  \frac{1}{2}  \\  \because \:  \tan \theta = m \\  \therefore \: \tan \theta = \frac{1}{2}  = 0.5 \\ \therefore \:  \theta =  {tan}^{ - 1} (0.5) \\\therefore \:   \theta =  {tan}^{ - 1} ( \tan \: 26.565051177 \degree)  \:  \\  \\  \huge \red{ \boxed{\therefore \:   \theta = 26.57 \degree}}

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Step-by-step explanation:

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2 years ago
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1 year ago
Jennifer has a taco stand.she found that her daily costs can be modeled by C(x)=x^2-40x+610. if she wants to keep her daily cost
polet [3.4K]
Let's focus on the given equation. The C represents the cost, while the x must be the number of tacos, which is what we're solving for. Since we're given the boundary that C must be 300, then the solution would be:

300 = x² - 40x + 610
x² - 40x + 310 = 0

Apply the quadratic formula where a = 1, b = -40 and c = 310. The roots of x are:
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3 years ago
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