Answer:
x = 12.6 pennies
Step-by-step explanation:
total number of coins = 1 + 2+ 4 + 3 = 10 coins
P(penny) =
P(nickels) =
P(dimes) =
P(quarters) =
hence average value of the coin
x = Penny x P(Penny) + nickel x P(nickel) + dimes x P(dimes) + quarters x P(quarters)
nickels = 5 pennies dimes = 10 ; and quarters = 25 pennies
x = 0.1 + 1 + 4 + 7.5
x = 12.6 pennies
hence, the average pennies for the first draw is equal to x = 12.6 pennies
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
