Answer:
1,536 square centimeters
Step-by-step explanation:
The formula for the Lateral surface area of the pyramid =
1/2 × perimeter of the square base × slant height
Square base = 32cm
Slant height = 24cm
Perimeter of the square base = (4 × length of the square base side)
4 × 32cm = 128cm
Lateral Surface Area = 1/2 × 128cm × 24cm
= 1,536 square centimeters
Answer:
x = 54
Step-by-step explanation:
The two angles are across a vertex and are therefore equal. Set the two angles equal and solve for x:
2x+2 = 3x - 52
2 = x - 52
54 = x
Answer:
Step-by-step explanation:
50
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23
If you want to show your work, you would need to do the problem yourself.
144/24 is 6
There are 9 marbles in the bag. We pick 2 without replacement and get a probability of 1/6.
Each draw of a marble has a probability associated with it. Multiplying these gives 1/6 so let us assume the probabilities are (1/3) and (1/2).
In order for the first draw to have a probability of 1/3 we need to draw a color that has (1/3)(9)=3 marbles. So let's say there are 3 red marbles. The P(a red marble is drawn) = 1/3.
Now that a marble has been drawn there are 8 marbles left. In order for the second draw to have a probability of 1/2 we must draw a color that has (1/2)(8) = 4 marbles. So let's say there are 4 blue marbles out of the 8.
Since there are 9 marbles to start and we have 3 red marbles and 4 blue marbles, the remaining 2 marbles must be a different color. Let us say they are green.
The problem is: There are 3 red marbles, 4 blue marbles and 2 green marbles in a jar. A marble is picked at random, it's color is noted and the marble is not replaced. A second marble is drawn at random and its color noted. What is the probability that the first marble is red and the second blue?
