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2 years ago

I NEED HELP PLEASE IT WOULD REALLY MEAN AOT !!!! NO ZOOMS OR LINKS!!!!

Mathematics

1 answer:

Reika [66]2 years ago

5 0

Answer:

20.78

Step-by-step explanation:

sin a = perpendicular/ hypotenuse

where a is the base angle

here a = 60

sin 60 = 18/ x

since,

$\sin(60) = \ \frac{ \sqrt{3} }{2}$

$\frac{ \sqrt{3} }{2} = \frac{18}{x}$

√3 x = 36

x = 36/ √3

x = 36/ 1.732

x = 20.78

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3 years ago

Use the following similar triangles (ABC ~ DEF). If AC= 18 when DF=19 and AB=15, what is DE? Solve mathematically. Round your an

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Step-by-step explanation:

As they are similar triangles,we can write

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3 years ago

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3 years ago

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2 years ago

A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is w

chubhunter [2.5K]

Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

$\frac{15}{100} =\frac{5}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$15y=100(5)\\15y=500$

I now solve for y by dividing by 15.

$\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....$

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

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3 years ago