Answer:
Below
Step-by-step explanation:
5^n = 0.2
First write the number in exponential form with the base of 5 :
5^n = 5^-1
Because the bases are the same, we can set the exponents as equal :
x = -1
Hope this helps! Best of luck <3
Answer:
distance = 994.75 miles
Step-by-step explanation:
given data
City A = 36°6′ = 36° +
= 36.1° = 36.1° ×
= 0.6297 rad
City B = 21°42′ = 21° +
= 21.7° = 21.7° ×
= 0.3785 rad
multiply by π/180 to convert the degree to radian
radius of Earth = 3960 miles
to find out
distance between City A and City B
solution
we first get here central angle between A and B city is
central angle between A and B city = 0.6297 rad - 0.3785 rad
and
now by arc length so we get distance
distance = 3960 miles × (0.6297 rad - 0.3785 rad )
distance = 994.75 miles
Answer: The answers are 13. (A) and 14. (B).
Step-by-step explanation: The calculations are as follows:
(13) The given equations are

In the attached figure (a), these two lines are drawn. We can see that The lines intersect at the point P(8, -9). So, the solution to the pair of equations is (8, -9).
Thus, the correct option is (A).
(14) The given equations are

In the attached figure (b), these two lines are drawn. We can see that The lines intersect at the point Q(7, -2). So, the solution to the pair of equations is (7, -2).
Thus, the correct option is (B).
Answer:
r = 44
Step-by-step explanation:
12 = r - (34 - 2)
Solve for r
___________
To solve, we need to isolate r.
Distribute the negative sign with the numbers within the parenthesis :
12 = r - 34 + 2
Add like terms :
12 = r - 32
Add 32 to both sides :
44 = r
r = 44