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1 year ago

Instructions: Find the missing side. Round your answer to the nearest tenth.

Mathematics

1 answer:

lbvjy [14]1 year ago

4 0

Using the sine ratio, the length of the missing side is: 11.8.

<h3>How to Find Missing Side Using the Sine Ratio?</h3>

The sine ratio is, sin ∅ = opposite/hypotenuse.

Given the following:

∅ = 24°

Opposite = x

Hypotenuse = 29

sin 24 = x/29

x = (sin 24)(29)

x = 11.8

Learn more about the sine ratio on:

brainly.com/question/2920412

#SPJ1

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What is -11-8-13(-10)? And how did you get you're answer

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-11-8-13(-10)

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-11-8+130

Then add and subtract from left to right.

-11-8= -19
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Final answer: 111

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The product has decreased by 80 %

Solution:

The product of the original numbers: xy

One number is decreased by 75 %

Let x be the number decreased by 75 %

new number = x - 75 % of x

$new\ number = x - 75 \% \times x\\\\new\ number = x(1-75 \%)\\\\new\ number = x(1-\frac{75}{100}) = x(1-0.75) = 0.25x$

Another number is decreased by 20 %

Let y be the number decreased by 20 %

new number = y - 20 % of y

$new\ number = y - 20 \% y\\\\new\ number = y(1-20 \%)\\\\new\ number = y(1-\frac{20}{100}) = y(1-0.2) = 0.8y$

Now the product is given as:

$product = 0.25x \times 0.8y = 0.2xy$

Now we have to find the percent decreased

Subtract new product and original product and then divide by original product . Multiply the result by 100 to get percentage

$percent\ decrease = \frac{0.2xy - xy}{xy} \times 100\\\\percent\ decrease = \frac{-0.8xy}{xy} \times 100 = -0.8 \times 100 = -80$

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