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Vladimir79 [104]
4 years ago
11

Increase £2 by fifty percent.(Show working out)

Mathematics
2 answers:
igor_vitrenko [27]4 years ago
7 0
If I were to increase 2 pounds by fifty percent, I would increase it by half of its value.  
Half of 2 is 1, therefore I would increase 2 pounds by 1, thus increasing it to a grand total of 3 pounds.  I hope this helps, have a nice day, and if you need more help just ask! :)
uranmaximum [27]4 years ago
6 0
First, find out the 50% of £2 then add it to £2 for final value.

It would go in like this -

Increment =50% of £2
= 50/100 × 2
= £1

Now, final value = £1 + £2 = £3
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The unknown is how many girls and boys are in the class.
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the function M(x) -1/45x^2+2x-20 where 30 65 represents the miles per gallon used by a certain brand of car at a speed of x mile
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3 years ago
8-35. Use your knowledge of polygons to answer the questions below, if possible.
Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is 1980^0

Then:

(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13

The polygon has <u>13 sides.</u>

II. If the Interior angle is 900^0

Then:

(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7

The polygon has <u>7 sides.</u>

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: \frac{360^0}{n}

If the exterior angle of a regular polygon is 90°

Then:

90\°=\frac{360^0}{n}\\ 90n=360\\n=4

The regular polygon has 4 sides and it is called a <u>Square.</u>

<u>(c)</u>The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is:  \frac{(n-2)180^0}{n}

For a pentagon, n=5

Then:

\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0

(d)The <u>sum of the exterior angle of a polygon is 360 degrees.</u>

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

57+74+56+66+x=360^0\\253+x=360\\x=107^0

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180=1620^0

The sum of the interior angle <u>does not change either in a regular or irregular polygon.</u>

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natulia [17]

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