Answer: 14.6666...
Step-by-step explanation: The six goes on forever
Start by representing the lengths of the three sides of your triangle:
first side: x-4 (inches)
second side: x (inches)
third side: (x-4) + 3 (inches)
Add these three quantities up to obtain a formula for the perimeter, and set your sum equal to the given perimeter (15 inches):
x-4 + x + x-4 -3 = 15
3x-11=15
3x=26
x=26/3
Thus, the length of the 2nd side is 26/3; that of the first side is 26/3-4, or 14/3; and that of the third side is 14/3+3, or 23/3 (all measurements in inches).
Answer:
-45
Step-by-step explanation:
2/3x - 11 = x + 4
- I created an inequality representing the above statement first. This makes things look less complicated than what the question is asking.
2/3x = x + 15
- solve for x. I started by adding 11 to both sides.
-1/3x = 15
- multiply both sides by -3
x = -45
Answer:
a=8
Step-by-step explanation:
We can use ratios of similar triangles to solve
The smaller triangle has sides a and 12 and the larger triangle has sides a+a+4 and 12+18 which combine to 2a+4 and 30
a 2a +4
--------- = -----------
12 30
Using cross products
30a = 12(2a+4)
30a = 24a +48
Subtract 24a from each side
30a -24a = 24a-24a +48
6a = 48
Divide each sdie by 6
6a/6 =48/6
a =8
As we know the volume of a prism is the product of height and base are
H(x)= height, A(x)= Base area
Thus,
When volume = height(base area )
V(x)= A(x) · H(x)
= (x²-2)(5)
= 5(x² -2)
