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3 years ago

12

the equation a = represents the angle measures, a, in a regular n-sided polygon. when the equation is solved for n, n is equal t

o a fraction with a denominator of a – 180. what is the numerator of the fraction?

2 answers:

satela [25.4K]3 years ago

6 0

Answer:

the answer is -360

Step-by-step explanation:

mario62 [17]3 years ago

5 0

A = 180(n - 2)

a = 180n - 180*2

a = 180n - 360

180n - 360 = a

180n = a + 360

n = (a + 360) / 180

Numerator for fraction above = ( a + 360), denominator = 180

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Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

3 years ago

If n-2 = 1/16, then n could be

kobusy [5.1K]

N-2= 1/16
⇒ n= 1/16+ 2 (inverse operation)
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⇒ n= 2 1/16

Final answer: n= 2 1/16.

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3 years ago

Each respondent in the Current Population Survey of March 2005 was classified as employed, unemployed, or outside the labor forc

BartSMP [9]

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

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3 years ago

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balandron [24]

So there are 20 people in the family.
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3 years ago

Read 2 more answers

Please someone help me with this question below i am really stuck.

o-na [289]

9514 1404 393

Answer:

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Step-by-step explanation:

The tricky part here is finding the height of the trapezoid shape of the lawn. You will notice the difference in lengths of the parallel edges is 20-12 = 8 meters. This means you can use the Pythagorean theorem to find the missing height, as it is the second leg of a right triangle with one leg 8 and hypotenuse 17.

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h = √225 = 15

So, the lawn's shape is a trapezoid with bases 20 and 12 and height 15. These can go into the area formula ...

A = 1/2(b1 +b2)h

A = 1/2(20 +12)(15) = 240 . . . . . . square meters

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That area is 2.4 times 100 square meters. That means 2.4 cans of weedkiller are all that are needed. If we can only purchase whole cans, then we need to purchase 3 cans of weedkiller, for a cost of ...

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3 years ago