One way is by using the same number
Answer:
sin(70°) =10/x
The distance Jeremy jumps from the ramp to the fire escape is <u>10.6</u> feet
Step-by-step explanation:
From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft
A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.
From sine definition:
sin(70°) = opposite/hypotenuse
sin(70°) = 10/x
x = 10/sin(70°)
x = 10.6 ft
Answer:
a. The two players playing the game
b. No dominant strategy
c. No equilibrium
Step-by-step explanation:
a. The players are the two people playing the game of matching pennies
The strategy of the players are to meet the conditions of them keeping the pennies by having either heads or tails
The payoff of the game are as follows;
Player A keeps the two pennies when the outcome matches
Player B keeps the two pennies when the outcome does not match
The payoff of the game are as follows;
Player A
Head Tails
Player B Head 1, -1 -1, 1
Tails -1 1 1, -1
Where:
x, y
x = Player A
y = Player B
1 = Getting to keep the two pennies
-1 = Losing a penny
b. There are no best strategy because the game is one of chance whereby the result of the strategy of one player depends on the side of the penny facing up by the other player.
c. There is no equilibrium as the possible outcomes are equal hence the outcomes can be even or one sided.
Answer:
Step-by-step explanation:
The ratio of adult to children is determined by number of adult / number of children.
We want to determine the three ratios that are equivalent to 2 adults 5 children. So we will divide each of the given number of adults and children.
1) 8 adults 20 children = 8/20 = 2/5
2) 5 adults 8 children = 5/8
3) 20 adults 50 children = 20/50 = 2/5
4) 4 adults 10 children = 4/10 = 2/5
So the three ratios that are equivalent to 2 adults 5 children are
8 adults 20 children,
20 adults 50 children and
4 adults 10 children
