Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.
If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.
Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).
If RT is 4, then RQ must also be 4.
Answer: x = 4
Hope this helps!
So the x intercepts are going to be at the places where y = 0 so you can just read that off and get (-2,0) and (3,0). Hope this helps :)
Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.
15-4=11 plus
(7-5)= 2
if is times 2 is 32
if is plus 2 is 15
if is minus 2 is 11
and if is divided by 2 is 6.5
(I'm saying all that because you didn't put any symbol beside the number 2)
Answer:
k<1
Step-by-step explanation:
1. Add 32 to both sides
-16k-32+32>-48+32
2. Simplify
-16k>-16
3. Reverse the sign (You only reverse the sign if you are DIVIDING BY a negative.)
-16k/-16 = k
-16/-16 = 1
You're left with k < 1
Your number line graph should be an open circle at 1 going to the left.