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
hope this helps
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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:
![P = \frac{1}{49*48*47*46*45*44} =9.9321*10^{-11}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B1%7D%7B49%2A48%2A47%2A46%2A45%2A44%7D%20%3D9.9321%2A10%5E%7B-11%7D)
(b) The probability of winning a 6/53 lottery is given by:
![P = \frac{1}{53*52*51*50*49*48} =6.0498*10^{-11}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B1%7D%7B53%2A52%2A51%2A50%2A49%2A48%7D%20%3D6.0498%2A10%5E%7B-11%7D)
(c) The probability of winning a 6/51 lottery is given by:
![P = \frac{1}{51*50*49*48*47*46} =7.7120^{-11}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B1%7D%7B51%2A50%2A49%2A48%2A47%2A46%7D%20%3D7.7120%5E%7B-11%7D)
(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:
![r=\frac{9.9321*10^{-11}}{6.0498^{-11}}\\r=1.6417](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B9.9321%2A10%5E%7B-11%7D%7D%7B6.0498%5E%7B-11%7D%7D%5C%5Cr%3D1.6417)
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°