Answer:
b)
Step-by-step explanation:
a) 4+12>8
 12+8>4
 4+8=12
NO
b) 5+12>10
 10+5>12
 12+10>5
YES
c) 16+4>6
 6+4<16
NO
d) 30+12>6
 12+6<30
NO
 
        
             
        
        
        
Y=-x-8
the y-intercept is 8, while the slope is 1
        
                    
             
        
        
        
Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.
 
        
             
        
        
        
Answer:
The number of ways he can elect the president,the vice President and the secretary is 1320 ways
Step-by-step explanation:
This is a permutation question.
Any of the 12 members can be the President , when this is done, any of the remaining 11 can be the vice president ,when this is done, any of the remaining 10 can be the secretary.
The required number of ways is;
12*11*10= 1320ways