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3 years ago

Find the values of each variables in each quadrilateral.

Mathematics

1 answer:

Ahat [919]3 years ago

7 0

First lets solve for x we know 3x=90. In this case x=30. Now we can solve for y. We know the triangle needs to equal 180 so y+2(30)=180. So we get y=120. Hope it helps

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If the perimeter of a square is 36 cm, what is the area?

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3 years ago

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3 years ago

The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial am

posledela

Step-by-step walkthrough:

Well a standard half-life equation looks like this.

$N = N_0 * (\frac{1}{2})^{t/p$

$N_0$ is the starting amount of parent element.

$N$ is the end amount of parent element

$t$ is the time elapsed

$p$ is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

$N(t) = 74g * (\frac{1}{2})^{t/2.8days$

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

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Now we just gotta do some algebra. Use the original function but this time, replace $N(t)$ with 10g and solve algebraically.

$10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}$

Take the log of both sides.

$log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})$

Use the exponent rule for log laws that, $log(b^x) = x*log(b)$

$log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})$

$\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}$

$2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t$

slap that in your calculator and you get

$t = 8.1 days$

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2 years ago

Si el dividendo es 800 el cociente es 160 y el residuo es 0 ¿cuál es el divisor?<br><br>ayudaaa

atroni [7]

Answer:

Él dividendo seria 5

Step-by-step explanation:

Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos

ESPERO Y TE AYUDE ;)

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3 years ago

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3 years ago

Find the values of each variables in each quadrilateral. ​

Find the values of each variables in each quadrilateral.