Hey buddy your answer is 9
Hope it helps :)
Answer:
<h2>The polygon has 12 sides</h2>
Step-by-step explanation:
The sum of interior angles of a polygon is given by
<h3>( n - 2) × 180</h3>
where
n is the number of sides
From the question the sum is 1800°
Substitute the value into the above formula and solve for the number of sides
That's
( n - 2) × 180 = 1800
180n - 360 = 1800
180n = 1800 + 360
180n = 2160
Divide both sides by 180
n = 12
Therefore the polygon has 12 sides
Hope this helps you
What is the decimal I might be able to figure it out
Converting a fraction into a decimal is dividing the fraction's numerator (the top number) by its denominator (the bottom number).
If you want to convert 3/8 into a decimal, divide 3 by 8. Because 8 can't go into 3, you have to add a zero to 3, making it 30. That's how you convert fraction to decimal.
To convert fraction to percent Divide the top of the fraction by the bottom,
Then multiply the result by 100.
Here u go
Answer: A=2 and B=13
Explanation: The Factor Theorem states that if a is the root of any polynomial p(x) that is if p(a)=0, then (x−a) is the factor of the polynomial p(x).
Let p(x)=x
3
+ax
2
−bx+10 and g(x)=x
2
−3x+2
Factorise g(x)=x
2
−3x+2:
x
2
−3x+2=x
2
−2x−x+2=x(x−2)−1(x−2)=(x−2)(x−1)
Therefore, g(x)=(x−2)(x−1)
It is given that p(x) is divisible by g(x), therefore, by factor theorem p(2)=0 and p(1)=0. Let us first find p(2) and p(1) as follows:
p(1)=1
3
+(a×1
2
)−(b×1)+10=1+(a×1)−b+10=a−b+11
p(2)=2
3
+(a×2
2
)−(b×2)+10=8+(a×4)−2b+10=4a−2b+18
Now equate p(2)=0 and p(1)=0 as shown below:
a−b+11=0
⇒a−b=−11.......(1)
4a−2b+18=0
⇒2(2a−b+9)=0
⇒2a−b+9=0
⇒2a−b=−9.......(2)
Now subtract equation 1 from equation 2:
(2a−a)+(−b+b)=(−9+11)
⇒a=2
Substitute a=2 in equation 1:
2−b=−11
⇒−b=−11−2
⇒−b=−13
⇒b=13
Hence, a=2 and b=13.