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3 years ago

How many sides does a regular polygon have if the measure of one of it's interior angles is 144?

1 answer:

6 0

Each Interior Angle = 180° - (360 / sides)
144 = 180 - (360 / sides)
(360 / sides) = 36
sides = 360 / 36
sides = 10
It is a decagon.
Source:
http://www.1728.org/polygon.htm

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Answer:

$45

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3 years ago

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3 years ago

Dylan and his children went into a grocery store and where they sell peaches for $1 each and mangos for $0.50 each. Dylan has $1

mafiozo [28]

Answer:

8 mangoes

Step-by-step explanation:

1) lets create 2 systems of inequalities

where m=# of mangoes

p=# of peaches

so m+p≥15 and 1m+0.5p≤15

lets substitute "13" in the m+p inequality to see how many mangoes dylan can buy:

m+(13)≥15

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now we substitute "13" in the other inequality:

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hope this helps!

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3 years ago

The graph shows the amount of a medicine min milligrams, remaining in a patient's body hours after receiving an injection . The

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<h3>(a) The factor at which the medicine decreased, in 1.5 hour</h3>

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

$y = ab^x$

At point (0,270), we have:

$ab^0=270$

$a= 270$

At point (1.5,80), we have:

$ab^{1.5} = 80$

Substitute 270 for a

$270b^{1.5} = 80$

Divide both sides by 270

$b^{1.5} = 0.2963$

Take 1.5th root of both sides

$b =0.44$

Hence, the medicine decrease in the hour and half at a factor of 0.44

<h3>(b) The factor at which the medicine decreased in the first half hour, and the first hour</h3>

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

<h3>(c) The exponential equation</h3>

In (a), we have:

$a= 270$

$b = 0.44$

So, the exponential equation is:

$y =270 * 0.44^x$

In terms of m and h, we have:

$m =270 * 0.44^h$

Hence, the equation relating m to h is $m =270 * 0.44^h$

Read more about exponential equations at:

brainly.com/question/11832081

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2 years ago