Answer:
c 2.00 in vec ay se the back yard
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft
Answer:
85 parking spaces
Step-by-step explanation:
Given that :
Parking spaces on floors :
Let first floor = x
Second floor = 2x
Third floor = 2x + 3
Total parking spaces = 428
THEREFORE ;
x + 2x + 2x + 3 = 428
5x + 3 = 428
5x = 428 - 3
5x = 425
x = 425 / 5
x = 85
Hence, there are 85 parking spaces on the first floor
Yes that is correct because for the problem is 56,154 so if you round that will get you 56,000
Answer:
The simplified expression is 16^-1/6
Step-by-step explanation:.
16^5/4•16^1 /4/ (16^1/2)^2
The dot means multiplication. The expression is rewritten as
16^5/4 × 16^1/4 / (16^1/2)^2
Recall the following rules of indices
1) y^a × y^b = y^(a+b)
2) (y^a)^b = y^ab
y^b/ y^a = y^(b-a)
Applying these rules of indices
16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)
(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16
Therefore
16^5/4 × 16^1/4 / (16^1/2)^2
= 16^(5/16) /16
=16^(5/6) × 16^-1
= 16^ (5/6)-1
= 16^-1/6)
,The simplified expression is 16^-1/6
