Answer:
d = kr
Explanation:
We know that the depth (d) varies directly with the amount of rain (r).
This means that as the amount of rain increases, the depth increases and vice-versa.
The depth would depend on r multiplied by a constant of variation (k)
Translating this into equation, we would get the following:
d = kr
Hope this helps :)
Answer:
Step-by-step explanation:
Given
Required
This is calculated as:
Answer:
20 visits
Step-by-step explanation:
The club that charges $40 more for enrollment charges $2 less per visit. The savings on visits is equal to the extra enrollment charge when the number of visits is 40/2 = 20.
For 20 visits, the cost at both clubs is the same.
__
If you let v represent the number of visits, ...
A = 60 +2v . . . . cost at club A
B = 20 +4v . . . . cost at club B
A = B ⇒ 60 +2v = 20 +4v . . . . . . costs are the same for "v" visits
40 = 2v . . . . . . . subtract 20+2v from both sides
40/2 = v = 20 . . . . . . same as "word solution" above
All angles in a triangle add to 180 so
B = 180 - 90 - A
B = 90 - 20.8
B = 69.2
Can find b with tangent of A
tangent is opposite over adjacent.
opposite to A = 20.8 is 11.2 and adjacent is b
tan(20.8) = 11.2 / b
b = 11.2 / tan (20.8)
b = 29.5
c can be found with sine of A
sin(20.8) = 11.2 / c
c = 11.2 / sin(20.8)
c = 31.5
B = 69.2°, b = 29.5, c = 31.5
Answer:
7th term = -2187
Step-by-step explanation:
The formula for nth term of a geometric sequence is given by:
Where
- a is the first term,
- r is the common ratio,
- n is the nth term (term number)
Since the question gives us the formula and wants to know 7th term, we just plug in 7 into n:
