Here are the areas of the 12 rectangular surfaces that make up the surface area of the podium:
7.5 x 1.5 = 11.25 square feet (Bottom)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Bottom Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Right/Left Flat)
1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Top Sides)
2.5 x 1.5 x 2 = 7.5 square feet (Top Front/Back)
2.5 x 1.5 = 3.75 square feet (Top)
7.5 x 1.5 x 2 = 22.5 (Bottom Front and Back)
The area of all these surfaces is 61.5 square feet.
Answer:
a = 12
Step-by-step explanation:
Formula for calculating the slope of a line is expressed as;
m = ∆y/∆x
m = y2-y1/x2-x1
Given
m = 1/2
x1 = a
y1 = 14
x2 = 8
y2 = a
Required.
Value of a
Substitute the given parameters into the formula
1/2 = a-14/8-a
Cross multiply
1(8-a) = 2(a-14)
8-a = 2a-28
Collect like terms
-a-2a = -28-8
-3a = -36
a = -36/-3
a = 12
Hence the value of a is 12
Answer:
a) 0.00031
b) 0.0017
c) 0.31
d) 0.00018
Step-by-step explanation:
attached below is the detailed solution
Total number of 7-poker cards are 52P7 = 133784560
A) Determine the probabilities of Seven-card straight
probability of seven-card straight = 0.00031
B) Determine the probability of four cards of one rank and three of a different rank
P( four cards of one rank and three of different rank ) = 0.0017
C) Determine probability of three cards of one rank and two cards of each two different ranks
P( three cards one rank and two cards of two different ranks ) = 0.31
D) Determine probability of two cards of each of three different ranks and a card of a fourth rank
P ( two cards of each of three different ranks and a card of fourth rank ) = 0.00018