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3 years ago

Lin and diego are discussing two expressions x^2 and 2^x

Mathematics

1 answer:

ss7ja [257]3 years ago

3 0

Answer:

The expression a^b

means that we multiplicate the number a by itself b times.

So x^2 means that we multiplicate the number x by itself 2 times:

x^2 = x*x

and 2^x means that we multiplicate the number 2 by itself x times

2^x = 2*2*2*....*2 (if you count them, you should see x times the number 2)

for example, if x = 4, we will have

2^4 = 2*2*2*2

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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 13 sides.

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 7 sides.

(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 Square.

(c)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 sum of the exterior angle of a polygon is 360 degrees.

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 does not change either in a regular or irregular polygon.

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3 years ago

Bills plant grew at the rate of 1 1/2. How tall would the plant be after 3 weeks

kvv77 [185]

Answer:

9/2 or 4 1/2

Step-by-step explanation:

you do 1 1/2 times 3

3/2 times 3 equals

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Solve for x. Show your work. -1/2 x < -12

lesantik [10]

All you need to do is divide -1/2 onto the other side.

-1/2x<-12

-12/ (-1/2)= 6 (a negative and a negative equals a positive)

Also, since you are dividing a negative, you flip the sign.

x>6

I hope this helps!
~cupcake

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If x=6 and y=-3 then find (xy)²

aniked [119]

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Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out

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Excel remembers the last _____ actions you have completed. 25 50 75 100

Gemiola [76]

Excel remembers the last 100 actions you have completed.

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