Answer:
b)

Step-by-step explanation:
b) set up equations so they are equal to each other,



this is when f(x)=g(x) so our approximation was close.
c)solving it graphically is nearly impossible because the solution can be any value around the intersection. only way to be sure is to solve it symbolically.
Step-by-step explanation:
no. of players = 22/3 = 7 remainder 1
therefore, 7 people can play, and 1 card remaining
Answer:
Most Unlikely: Less than 5
Likely: 2-digit number
Unlikely: Multiple of 3
Equally Likely: Odd
Most Likely: Greater than 10
Step-by-step explanation:
there are 6x5, or 30 outcomes
Less than 5 has 1 outcome - spinner and dice both are one
Odd has 15 outcomes
Multiple of 3 has 8 outcomes: 1+5, 2+1, 2+7, 2+12, 3+12, 4+5, 5+7, 5+10
Two-digits has 12 outcomes
Greater than ten has 16 outcomes
Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
Answer:
D
Step-by-step explanation: