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aliya0001 [1]
3 years ago
12

A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is

StartFraction 15 x over 4 EndFraction minus 9, where x represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row?
Mathematics
2 answers:
Alenkasestr [34]3 years ago
8 0

Answer:

The answer is 69 on Edgenui

docker41 [41]3 years ago
5 0

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

y=\frac{15x}{4}-9\\\\

Given that x is the number of spots in the first row.

-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

y=\frac{15x}{4}-9,\ \ x=32\\\\=\frac{15\times 32}{4}-9\\\\=120-9\\\\=111

Hence, there are 111 spots in the parking lot.

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Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

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cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

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Plugging these values into the equation, we have

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Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

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