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Ksju [112]
3 years ago
5

Here is a sales tax of $9 on an item that costs $120 before tax. the sales tax on a second item is $19.05. how much does the sec

ond item cost before tax?
Mathematics
1 answer:
Annette [7]3 years ago
6 0
% of sales tax = 9/120 x 100 = 900/120 = 7.5%

Let the cost of the second item be x, then 7.5/100 x = 19.05
0.075x = 19.05
x = 19.05/0.075 = 254.

Therefore, the cost f the second item is $254
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What is the length of the apothem of a regular hexagon with 10-cm sides?
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Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

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Answer:

254.34

Step-by-step explanation:

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Answer:

The linear relationship is represented by y = 2x + 3.

Step-by-step explanation:

We are given a y-intercept of an equation as well as a slope:

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We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:

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In this formula, m is our slope and b is our y-intercept.

Therefore:

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