One of the triangles (that on the left, top) has 2 equal sides, and thus is isosceles. The angle immediately adjacent to and to the right of 110 degrees is 180-110 degrees, or 70 degrees, which means that angle 1 is also 70 degrees. The remaining angle is 180 degrees less 2(70 degrees), or 40 degrees; thus, angle 2, immediately adjacent to and to the right of this 40 degree angle, is 180-40, or 140 degrees. The triangle to the right and below the horiz. line has angle 40 degrees (using the principle of vertical angles); thus, angle 3 is 180-(40+90) degrees, or 50 degrees.
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
</span>
The answer is - 1 and 11/12.
Answer:
V = 286319.465 cm3
Step-by-step explanation:
First, you have to find the radius to be able to find the volume of a sphere.
The equation for the area of a circle is pi r^2 so you have to so some algebra.
5252 = pi r ^2
5252/pi = r^2
1671.76352 = r^2
sqrt(1671.76352) = r
r = 40.8872048
then you do the equation for the volume of a circle which is 4/3 pi r^3
4/3 pi (40.8872048)^3
4/3 pi 68353.7373
4/3 214739.599
286319.465
V = 286319.465 cm3
Answer:
13/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-(-6))/(4-(-3))
m=(7+6)/(4+3)
m=13/7
