To solve this you can multiply the second equation by to get
3x+6y =18
Then you can subtract it by the first equation to get
7y= 14
And get y= 2
Then you plug in y to one of the equations to find that x=2
Answer:
5.4
Step-by-step explanation:
First, you calculate the area of the whole square, then the area of the circle.
Simplify:
-3(m - 2) - 7m
-(3m - 3 • 2) - 7m
-10m + 6
Answer:
d. is the sum of the probabilities of the sample points in the event.
Step-by-step explanation:
Suppose we have a fair coin then the the sample space S is given by {(H), (T)}
the head and tail are the sample points.
the probability of sample space will be given by the sum of probability of head and tail. P(S)= P(A) + P(B)
1= 1/2+ 1/2
The total probability of the sample space always equals 1
The individual probabilities add up to to give the probability of the sample space.
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
