Answer: NOT POSSIBLE
Step-by-step explanation:
It is not possible for such a triangle to be formed because it violates the <em>Triangle Inequality Theorem </em>which states that the sum of two sides of a triangle must be more than the third side.
8 + 4 = 12 which is larger than the other side of 4cm so this is fine
4 + 4 = 8 is equal to the other side of 8cm so this is not fine.
So long as the summed length of any 2 of the sides is not more than the third side, a triangle cannot be formed.
The perimeter of a triangle has the formula 2l + 2w. Since the length is twice as long as the width, l = 2w. We use this equations to two possible perimeters, 90 and 120 feet.
P = 90 feet
90 = 2(2w) + 2w
90 = 6w
w = 15 feet
P = 120 feet
120 = 2(2w) + 2w
120 = 6w
w = 20
Thus, the range of w is from 15 to 20 feet. The answer is <span>15 ≤ w ≤ 20</span>
Beginning with the last deposit and working toward the present, the amount in the account is
3000 + 3000*1.06 + 3000*1.06^2 + 3000*1.06^3 + 3000*1.06^4
= 3000*(1.06^5 -1)/(1.06 -1)
= 16,911.28 . . . dollars
_____
The sum is found using the formula for the sum of a geometric series. For first term a1 and common ratio r, that sum is
Sn = a1*(r^n -1)/(r -1)
Your series has a1=3000 and r = 1.06. It has 5 terms (n=5).
9 1/7 lb
You can convert the mixed numbers to solve it easier! :)
The y intercept is 12 (0,12)
x^2+7x+12
(x+3) (x+4)
x intercepts are -3,-4
(-3,0) (-4,0)
Choice A
