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dezoksy [38]
3 years ago
11

If you are working with less than, or greater than. If there is a negative do you switch the sign? For example 9t-4>32

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

Rule:  If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.

Step-by-step explanation:

Your job here is to simplify 9t-4>32, in which the variable (t) is already positive.  Here you do NOT switch signs or reverse the direction of the inequality symbol.  Adding 4 to both sides, we get 9t > 36, or t > 4.

If, however, you had  -9t-4>32 to work with, the situation would be different because t in this inequality is negative.  Adding 4 to both sides results in:

-9t > 36.  To solve for t, we must divide both sides by -9 AND reverse the direction of the inequality symbol:

t < -4.

Rule:  If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.


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I need to find the perimeter and area of the regular polygon.
mezya [45]
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways. 

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31

The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31

We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48

Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72
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Please help i have an F right now
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Answer:

4

Step-by-step explanation:

If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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It’s D
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