Answer:
698 cm²
Step-by-step explanation:
The volume is given by ...
V = LWH
Filling in the given values, we have ...
1020 = (17)(5)y . . . . . . . using L=17, W=5, H=y
y = 1020/(17·5) = 12
The surface area is given by ...
A = 2(LW +H(L+W))
A = 2(17·5 +12(17+5)) = 2(85 +264) . . . . . . . using L=17, W=5, H=y=12
A = 698 . . . . square centimeters
3y + 2 + 2y + 7 = 10y - 11
5y + 9 = 10y - 11
20 = 5y
4 = y
RS = 14
ST = 15
RT = 29
Answer: 3
Step-by-step explanation:
Step-by-step explanation:
The surface area of a square pyramid is the area of the square base plus the area of the 4 lateral faces:
A = b² + 4 (½ bl)
A = b² + 2 bl
where b is the width of the base,
and l is the slant height.
The probability of a hand of 13 cards contains all 4 of one of the denominations, say Aces, is given by:

The same probability applies to getting all 4 of each of the other denominations.
Therefore the required probability is:

The answer is 0.0343.