Answer:
option C. 
option D. 
option F. 
Step-by-step explanation:
step 1
we know that
In the right triangle JKL
so
step 2
so
step 3
Answer:
1 in : 50 mi . . . or . . . 1 : 3,168,000
Step-by-step explanation:
Dividing the areas by 10, you get 1 square inch corresponding to 2500 square miles. Those areas are equivalent to 1 inch square and 50 miles square. Hence the scale factor is 1 inch : 50 miles.
Sometimes map scales are expressed as a dimensionless ratio. The number of inches in 50 miles is
... (50 mi)×(5280 ft/mi)×(12 in/ft) = 3,168,000 in
so, the map scale can be expressed as 1 : 3,168,000.
Answer:
Step-by-step explanation:
Not entirely sure about the first one, but I'll try the others:
2- log base 8 (8x) = log base 8 (8) + log base 8 (x) = 1 + log base 8 (x)
3 - log base 3 (5^x) = x log base 3 (5)
4 - log base 2 (5/x) = log base 2 (5) - log base 2 (x) = In 5 - In x
5 - log base 2 (2^x) = x log base 2 (2) = x · 1 = x
Answer:
Step-by-step explanation:
Assume a pentagon has equal length where a be the side of the pentagon and r be the apothem of the pentagon.
Given:
Sides of pentagon 
apothem of pentagon 
The area of the pentagon formula is given below.
Where b = length of the base or side
And h = height of apothem
Now, we substitute side and apothem length in above formula.
Therefore, the area of the pentagon is 
