Answer:
5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters
Answer:
The height above sea level at <em>B</em> is approximately 1,604.25 m
Step-by-step explanation:
The given length of the mountain railway, AB = 864 m
The angle at which the railway rises to the horizontal, θ = 120°
The elevation of the train above sea level at <em>A</em>, h₁ = 856 m
The height above sea level of the train when it reaches <em>B</em>, h₂, is found as follows;
Change in height across the railway, Δh = AB × sin(θ)
∴ Δh = 864 m × sin(120°) ≈ 748.25 m
Δh = h₂ - h₁
h₂ = Δh + h₁
∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m
The height above sea level of the train when it reaches <em>B</em> ≈ 1,604.25 m
Answer:
The length of the longest section x = 36 ft
Step-by-step explanation:
Total length of the wire = 51 ft
Let first section of wire = x
Second section of wire = y
Third section of wire = z
According to given data
x = 3 y & y = 4 z
Total length of the wire = x + y + z = 51


y = 12
x = 3 × 12 = 36

Therefore the length of the longest section x = 36 ft
Answer:
5
Step-by-step explanation:
Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.
Let x be the number of questions, solving by trial and error:

Therefore, the minimum number of questions in the game is 5.
Answer:
a. 104
b. 102, 104, and 105
Step-by-step explanation:
a. There are 13 data points plotted on the dot line. The median lies between the 6th and 7th data point.
Thus, on the dot line, the 6th and 7th data points both fall on 104.
Therefore, median = 104
b. The dot plot shows the high temperatures that occurred more than one day are:
102, 104, and 105