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2 years ago

9

A hotel cost $89 per night. sally will receive a $5 per night discount for paying in advance.a rental car cost $35 per day plus

tax that totals $4 per day. which expression can sally use to find how much she will pay for the hotel and rental car for five days.

1 answer:

natulia [17]2 years ago

4 0

You can multiply both 89 and 5 by both 5 because it's over a course of 5 days, than subtract the total by each other. For the rental you have to multiply ,35 by 5 and 4 than add those two sums together. Once you have all the totals, add them all together to get your answer

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Answer:

$A = 74.7^\circ$

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Step-by-step explanation:

Given

$A = (-1,2) \to (x_1,y_1)$

$B = (2,8) \to (x_2,y_2)$

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First, we calculate the length of the three sides of the triangle.

This is calculated using distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

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$d = \sqrt{(-3)^2 + (-6)^2$

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So:

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$C = (4,1) \to (x_3,y_3)$

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$BC = \sqrt{(-2)^2 + (7)^2$

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For AC

$A = (-1,2) \to (x_1,y_1)$

$C = (4,1) \to (x_3,y_3)$

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So, we have:

$AB = \sqrt{45$

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By representation

$AB \to c$

$BC \to a$

$AC \to b$

So, we have:

$a = \sqrt{53$

$b = \sqrt{26$

$c = \sqrt{45$

By cosine laws, the angles are calculated using:

$a^2 = b^2 + c^2 -2bc \cos A$

$b^2 = a^2 + c^2 -2ac \cos B$

$c^2 = a^2 + b^2 -2ab\ cos C$

$a^2 = b^2 + c^2 -2bc \cos A$

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Collect like terms

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Take arc cos of both sides

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$26 - 53 -45= -97.67 * \cos B$

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Solve for $\cos B$

$\cos B = \frac{-72}{-97.67}$

$\cos B = 0.7372$

Take arc cos of both sides

$B = \cos^{-1}(0.7372)$

$B = 42.5^\circ$

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$A + B + C = 180$ --- angles in a triangle

Make C the subject

$C = 180 - A -B$

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Keywords: Speed, distance

Learn more about speed at:

#LearnwithBrainly

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