Answer:
Area of triangle = ½ × base × height
Step-by-step explanation:
(A = ½ × b × h)
This formula is mainly used to find the area of the triangle.
Answer:
1/2
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Step-by-step explanation:
Answer:
x=-3,x=9
Step-by-step explanation:
x^2-6x-20-7=0
x^2-6x-27=0
x^2-(9-3)x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x+3)(x-9)=0
x=-3,x=9
Answer:
(a) 9.9321*10^{-11}
(b) 6.0498*10^{-11}
(c) 7.7120^{-11}
(d) 1.6417 times more probable
Step-by-step explanation:
(a) The probability of winning a 6/49 lottery is given by:

(b) The probability of winning a 6/53 lottery is given by:

(c) The probability of winning a 6/51 lottery is given by:

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

It is 1.6417 times more probable.
Answer:
12) 5.96 ; 13)
Step-by-step explanation:
12). x and 5 are legs, so
opposite leg/adjacent leg = tangent 40°
5/x= tan40°, 5= x*tan40°, x= 5/tan40° ≈ 5.96
13). 15 is opposite leg
24 is hypotenuse
opposite leg/hypotenuse = sin(x)
sin(x) = 15/24
x = arcsin(15/24) ≈ 38.68°