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3 years ago

CAN SOMEONE HELP ME WITH THIS GEOMETRY QUESTION PLEASE?!?

Mathematics

1 answer:

forsale [732]3 years ago

4 0

The triangles are similar
so
(x+8)/42 = 24/(2x-4)
(x+8)(2x-4) = 24 * 42
2x^2 + 16x - 4x - 32 = 1008
2x^2 + 12x - 32 = 1008
2x^2 + 12x - 1040 = 0
2(x^2 + 6x - 520) = 0
2(x + 26)(x - 20) = 0
x + 26 = 0; x = -26
x - 20 = 0; x = 20

Since the side of triangle can't be negative so x = 20

Answer
x = 20

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The Hamptons family has a fish tank holding 10,450 ml of water.The water is leaking at a rate of 270 ml per minute.

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The output would depend on the input so relating this to the question, the input is the time (in minute) and the output is the amount of water left in the tank

We can give a letter 't' for the time, the input, and f(t) for the output

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The original amount of water in the tank is 10450, so this will be the fixed constant.
The amount of water lost per minute is 270 so this will be the term that varies depends on the variable of time, we write this as 270t

The function is given f(t) = 10450 - 270t
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Given, t = 10
f(10) = 10450 - 270(10)
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And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

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Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

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Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

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And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

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