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2 years ago

The convex polygon below has 8 sides. Find the value of x ?

Mathematics

1 answer:

bulgar [2K]2 years ago

5 0

The missing interior angle, x, of the convex polygon is 168⁰.

<h3>Sum of interior angles of convex polygon</h3>

The sum of interior angles of a convex polygon is calculated as follows;

S = (n - 2) 180

S = (8 - 2) 180

S = (6) 180

S = 1080

The missing interior angle, x, is calculated as follows;

x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080

x + 912 = 1080

x = 1080 - 912

x = 168⁰

Learn more about interior angles of polygon here: brainly.com/question/24966296

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Is 21.192 a rational or irrational

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3 years ago

What is the volume of a tank that can hold 18 754 Kg of methanol whose density is 0.788g/cm3

Alenkasestr [34]

Density = Mass / Volume
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3 years ago

What is the coordinate (10,2) multiplied by two fifths equal

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I think it's (4,4/5).

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3 years ago

he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$

Then

$0.222A(0) = A(0)e^{-0.00012054733t}$

$e^{-0.00012054733t} = 0.222$

$\ln{e^{-0.00012054733t}} = \ln{0.222}$

$-0.00012054733t = \ln{0.222}$

$t = -\frac{\ln{0.222}}{0.00012054733}$

$t = 12485$

The bones were 12,485 years old at the time they were discovered.

8 0

3 years ago

24. The original price of a DVD is $9. The sale price is 20% off

olasank [31]

20/100 = 0.20

0.20 * 9 = 1.8

9 - 1.8 = 7.2

The sale price of the DVD is $7.20.

7 0

3 years ago

Read 2 more answers