I see 12 t<span>riangles!!!!</span>
The option is the 3rd bubble
Answer:
8-10 feet
Step-by-step explanation:
If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.
Now we can solve for both the maximum and minimum cases:
x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.
x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.
Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.
(7/8)*(9/10)=7*9/(8*10)=63/80
To construct a triangle, the sum of any 2 sides of the triangle should be greater than the third side of the triangle.
lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.
A.
6,10,18
6 + 10 = 16
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle
B.10,12,15
10 + 12 = 22 15+12 = 27 15 + 10 = 25
22>15 (3rd side) 27>10 (3rd side) 25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle
C.10,15,6
10 + 15 = 25 15 + 6 = 21 10+6 = 16
25 > 6 21>10 16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle
D.10,18 ,12
10 + 18 = 28 18 + 12 = 30 10 +12 = 22
28> 12 30>10 22> 18
Therefore these lengths can also be used to form a triangle
correct answer is 6,10 and 18 these cannot form a triangle
