Answer:
2√3
Step-by-step explanation:
In a special right triangle called the 30-60-90 triangle, the ratios of the side lengths are x-x√3- 2x respectively. This means that the side opposite to the 60 degrees is x√3 and the side opposite to the 30 degrees is x.
Since the side opposite to the 60 degrees is 6, x√3=6
x√3=6
x=6/√3
rationalize the denominator:
6√3/3
simlify
2√3
so the answer is the third one. 2√3
-7x+14>-3x-6
Add 3x to both sides
-7x+14+3x>-3x-6+3x
-4x+14>-6
Subtract 14 from both sides
-4x+14-14>-6-14
-4x>-20
Divide both sides by -4
-4x/4>-20/-4
x<5
I hope that's help , please let me know !
There are three ways to create a sample space for a compound event.
1) Ordered List: The events can be written as a list.
2) Table: A table is a way to representing the sample space of a compound event and it does so very clearly.
3) Tree Diagram: A tree diagram shows the events of a sample space as the leaves of the tree diagram.
Answer:
No
Step-by-step explanation:
Check by changing to a common denominator
Well lets just we have
2x-3y=-2
4x+y=24
Well first we see we have "Y'" by itself which is great that means we can use substitution. So now we just set "Y"by itself. So subtract 4x on both sides and we get
y = -4x+24 now we just plug "Y" into the first equation
2x-3(-4x+24)=-2
Distribute the 3 and simplify and we get x=5
Plug (5) back into either top or bottom equations
4(5)+y=24
20+y=24
y=4