Answer:
Hsu makes $35,950.50 and Alkena makes $48,418.50
Step-by-step explanation:
Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:
a + h = 84,369
a = h + 12,468
Solve by substitution by plugging in h + 12,468 as a:
h + 12,468 + h = 84,369
2h + 12,468 = 84,369
2h = 71,901
h = 35,950.50
Plug this into the equation, a = h + 12,468 , to solve for a
a = 35,950.50 + 12,468
a = 48,418.50
So, Hsu makes $35,950.50 and Alkena makes $48,418.50
Heya !
Using a theoram about triangles ,
Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,
Also , the length of third side always greater than absolute difference of the other two sides ,
Let the third side be x ,
So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1
Hence , x ∈ [ 2 , 17 ] inch.
Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...
As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,
For right angled triangle , we have 2 cases ,
Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.
Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.
Hope it helps you ! :)
Answer:
True
Step-by-step explanation:
The n th term rule for an arithmetic sequence is
= a + (n - 1)d
where a is the first term and d the common difference
here d = 9 - 7 = 2 and a = 7, thus
= 7 + 2(n - 1)
