Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
Answer:
I believe that the owner of the dice is actually not lucky. There are people who practice throwing dice in a controlled way in order to get a specific side of the dice. If he practices his dice throwing a lot, then he would have a much higher chance of winning at a game of dice.
Step-by-step explanation:
Since you said he was lucky, I decided to make an answer saying that he wasn't lucky so you can choose between both of them. Your answer was good as well.
Answer:
Total surface area = 184.86 cm²
Step-by-step explanation:
If we see the the diagram, we can find that the net of this triangular prism includes:
2 triangles each with the dimension of one side 4.3cm, second side 5.2cm and third side 6.75 cm
3 rectangles each with the dimensions of (6.75×10)cm, (5.2×10)cm and (4.3×10)cm
Surface area of triangle with a,b and c side:
s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)
Area = 11.18cm²
For 2 triangle:
Area = 22.36cm²
Surface Area of Rectangles:
Area = (6.75×10)cm + (5.2×10)cm + (4.3×10)cm
Area = 162.5 cm²
Total surface area = area of 2 triangle + area of 3 rectangles:
Total surface area = 22.36 + 162.5
Total surface area = 184.86 cm²
