Answer:
The area of the sector is 26.69
Step-by-step explanation:
First of all we need to calculate the area
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (3)²
a = 3.14 * 9
a = 28.26
The area of the circle is 28.26
A complete circle has 2pi radians
We divide 17/9 pi by 2pi and obtain the fraction of the total circle
(17pi/9) / 2pi = 17/18
we multiply this fraction with the area of the circle and obtain the area of the sector
28.26 * 17/18 = 12.43cm
The area of the sector is 26.69
Substitution would be a great approach to solving this system, because the first equation defines y as x - 10 and you can thus substitute x - 10 for y in the second equation:
2x + (x - 10) = 4
Then 3x - 10 = 4, and 3x = 14. Solving for x: x = 14/3.
Since y = x-10, subst. 14/3 for x to find y: y = 14/3 - 30/3 = -16/3
The solution is (14/3, -16/3).
Answer:
AB= 3/3 simplified= 1
BC= 2/4 simplified = 1/2
CD= 3/3 simplified = 1
DA= 2/4 simplified =1/2
Step-by-step explanation:
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
n(A∪B)=n(A)+n(B)−n(A∪B)=50+60−40=70
n(AΔB)=n(A∪B)−n(A∩B)
⇒70−40=30.
