B and C are correct.
A circle has 360°. 2/3 of that circle is given by
2/3(360) = 720/3 = 240°.
Stu takes half of this, so his piece will have 240/2 = 120°.
He splits the remainder of it between his 2 sisters; 240-120 = 120° left; 120/2 = 60° for each sister's piece.
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:
x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60
x=60
2x-20=2(60)-20=120-20=100
Solution: the length is 100 m, and the width is 60 m.
To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.
The missing side length is c = 25 units.
Step-by-step explanation:
Step 1:
The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.
As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
The length of the hypotenuse is given as c units.
Step 2:
According to Pythagoras theorem,


So the missing length, c of the given triangle is 25 units.
Answer:
2
Step-by-step explanation:
We can use 2 points to find the slope
m = (y2 -y1)/(x2-x1)
Using ( 0,1) and (1,3)
= (3-1)/(1-0)
= 2/1
= 2