Answer:
B
Step-by-step explanation:
18 is the only number given that can be divided without having a remainder or decimal.
1026 ÷ 18 = 57
Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
Answer: 289 ft.
Explanation:
You can form a right triangle with these features:
1) Base = adjacent-leg = 500 feet
2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)
3) Height = opposite-leg = height of the Statue of LIberty = x
Now, use the equation for the trigonometric ratio tangent:
tan(angle) = opposite-leg / adjacent-leg
=> tan (30°) = x / 500ft
=> x = 500ft * tan(30°)
x = 288.67 ft which rounded to the nearest foot is 289 ft.
Answer:
32.2 km
Step-by-step explanation:
