13. Simple problem when you divide a fraction by another you multiply by its inverse not by the same.
So 3x-12/x^2-9x+20 divided by 9x+54/x^2+x-30
Should be: 3x-12/x^2-9x+20 * x^2+x-30/9x+54
Now you can simplify it.
3(x-4)/(x-4)(x-5) * (x+6)(x-5)/9(x+6)
Or 3/(x-5) * (x-5)/9
Or 3/1 * 1/9
Or 3/9 = 1/3
Answer:
114
Step-by-step explanation:
Using the hint given
1st term + common difference (desired term - 1)
(-102) + 4 (55-1) = 114
When we divide the figure in four parts, we obtain four squares with its sides of 5 centimeters of lenght, with quarter circles (two) in each one of them. The limits of the shadded area are arcs of cirncunference
To calculate the area of the shadded part, we must choose one square of 5cmx5cm and divide it in 3 sectors:
a: the area below the shaded area.
b: the area above the shaded area.
c: the shaded area.
The area of the square (As) is:
As=L²
As=(5 cm)²
As=25 cm²
The area of a circunference is: A=πR² (R:radio), but we want the area of the quarter circle, so we must use A=1/4(πR²), to calculate the area of the sectors a+c:
A(a+c)=1/4(π(5)²)
A(a+c)=25π/4
The area of the sector "b" is:
Ab=As-A(a+c)
Ab=25-25π/4
Ab=25(1-π/4)
The area of the sector a+b, is:
A(a+b)=2Ab
A(a+b)=2x25(1-π/4)
A(a+b)=50(1-π/4)
Then, the shadded area (Sector c) is:
Ac=As-A(a+b)
Ac=25-50(1-π/4)
Ac=25-(50-50π/4)
Ac=25-50+50π/4
Ac=(50π/4)-25
Ac=(25π/2)-25
Ac=25(π/2-1)
The area of each shaded part is: 25(π/2-1)
To calculate the perimeter of a shaded part, we must remember that the perimeter of a circunference is: P=2πR. If we want the perimeter of a quarter circle we must use: P= 2πR/4. But there is two quarter circles in the square of 5cmx5cm, so the perimeter of the shaded area is:
P=2(2πR/4)
P=4πR/4
P=πR
P=5π
The perimeter of each shaded part is: 5π
Answer:
C
Step-by-step explanation:
min and max are correctly the same for all 4 answers.
we have 10 data points, so, the median is the mean value between the 2 middle numbers, 19 and 22 : 20.5.
ah, it can be only C or D.
Q1 is the median of the lower half of data points (13 out of 11, 12, 13, 17, 19). and Q3 is the median of the upper half of data points (29 out of 22, 24, 29, 33, 38).
so, C is correct.
Answer:
13.8%
Step-by-step explanation:
I have created a table that shows all of the possibilities that two die's can roll when summed up. If we count all of these possibilities we can see that there are a total of 36 outcomes. From all of these outcomes we can also see that only 4 outcomes sum up to be a total of 5. Therefore, we have to divide the number of times 5 is a possibility by the total number of outcomes to get the probability of actually getting a sum of 5.
5 / 36 = 0.138 ... multiply by 100 to get percentage
0.138 * 100 = 13.8%
