Answer: 



Step-by-step explanation:
From the given figure it can be seen that
Total number on cube= n(S)=6
Intersection of A and B = n(A ∩ B)= 2
Therefore,

Also, The number of elements in A = 2
Therefore,

Similarly, The number of elements in B= 6
Therefore,

The formula to find the conditional probability is given by :-

We use this formula:
<span>Area = ½ • side 1 • sine (A) • side 2
</span>Area = <span>½ • 6 • sine (74) • 7
</span><span>Area = <span>21 • sine (74)
Area = 21*0.96126
Area = </span></span><span><span><span>20.18646
</span>
</span>
</span>
Area = 20.2 (rounded)
Source:
http://www.1728.org/triang.htm
Answer:

☥ 
- Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).
☥ 
☪ 
- Slope ( m ) = -2
- Given point = ( - 1 , 8 )
☪ 
- Equation of a line in slope - intercept form ( i.e y = mx + c )
Let the point ( -1 , 8 ) be ( x₁ , y₁ )
☪ 

plug the known values :
↦ 
↦ 
Distribute -2 through the parentheses :
↦ 
Transpose 8 to right hand side and change it's sign
↦ 
↦ 
And we're done !
Hope I helped!
♡ Have a wonderful day / night ツ
~TheAnimeGirl ♪
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Answer: The equation that represents the give situation is, y = 0.75 x + 12
Step-by-step explanation:
Here, x represents the number of batteries the child bought and y represents the total cost.
Since, the cost of one batteries = $ 0.75
⇒ The cost of x batteries = 0.75 x
The cost of one toy = $ 12
Hence, the total cost = The cost of one toy + The cost of x batteries
= y = 0.75 x + 12
Which is the required equation that represents the given situation.