Answer:
x = 12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x) *6 = (4+23) * 4
(6+x) *6 = 27*4
6(6+x) = 108
Divide each side by 6
6+x =18
Subtract 6 from each side
6+x-6 =18-6
x = 12
Answer:
11.66
Step-by-step explanation:
c² = a² + b²
c²= 6² + 10²
c²= 136
c= √136
c= 11.66 ( to two decimals)
Answer: 40.82
Step-by-step explanation:
Use pythagoras theorem to solve
Root 35 squared + 21 squared = 40.82
Answer:
28.9°
Step-by-step explanation:
The golfer, hole, and spectator form a triangle. Let ABC be the triangle and let the angle the spectator has between the golfer and the hole be A = 110°, the angle the golfer has between the spectator and the hole be B, and the angle the hole has between the golfer and the spectator be C. Let the angle between the golfer and the hole be a = 200 yards, the distance between the spectator and the hole be b and the distance between the golfer and the spectator be c = 140 yards,
Using the sine rule for the triangle, we find angle C.
So, a/sinA = b/SinB = c/SinC
So, a/sinA = c/sinC
sinC = csinA/a
C = sin⁻¹(csinA/a)
Substituting the values of the variables into the equation, we have
C = sin⁻¹(csinA/a)
C = sin⁻¹( 140sin110°/200)
C = sin⁻¹( 7 × 0.9397/10)
C = sin⁻¹(6.5778/10)
C = sin⁻¹(0.65778)
C = 41.13°
We know that A + B + C = 180° (sum of angles in a triangle)
And since the angle, the golfer has between the spectator and the hole be B
So, B = 180° - (A + C)
B = 180° - (110° + 41.13°)
B = 180° - 151.13°
B = 28.87°
B ≅ 28.9°
Answer:
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
Step-by-step explanation:
We have these following probabilities:
48.6% probability that a randomly selected adult in North Dakota is a female.
If a randomly selected adult in North Dakota is over 18, 65.9% probability that they have enrolled in college at some point in their lives.
These events are independent.
This means that to find the probability that a randomly selected adult in North Dakota will be a female who has enrolled in college, we can just multiply these probabilities.
P = 0.486*0.659 = 0.32 = 32%
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
