9514 1404 393
Answer:
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 3w+1 and the area is ...
w(3w+1) = 52
3w² +w -52 = 0
To factor this equation, we need factors of 3·52 = 156 that have a difference of 1. These values are 12 and 13, so we can rewrite the equation as ...
3w² +13w -12w -52 = 0
w(3w +13) -4(3w +13) = 0
(w -4)(3w +13) = 0
The positive value of w that makes a factor zero is ...
w = 4
Then the length is 3w+1 = 3(4) +1 = 13.
The length is 13 ft; the width is 4 ft.
Answer:
c
Step-by-step explanation:
Answer:
x = 4.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/6.5
6.5 sin 50 =x
x=4.97928
x = 4.98
The expression for the balance (b) in terms of the number of years (t) can be written as
... b = 2000·2^(t/19) . . . . . . the amount grows exponentially, and is is doubled when t=19
Then for t=5, the balance is
... b = 2000·2^(5/19) ≈ 2400
The best choice is ...
... A. $2400
