The prisms are congruent if the lengths of corresponding edges are in a 1:1 ratio, the volumes and the base areas are equal and the prisms have same height
Step-by-step explanation:
For the two prisms to be congruent the following properties should hold TRUE
The lengths of corresponding edges are in a 1:1 ratio.
The volumes are equal.
The base areas are equal.
The prisms have the same height.
Answer:
3 < c < 9
Step-by-step explanation:
The length of a side of a triangle cannot be negative. This eliminates the first and last options.
The addition of two sides of a triangle must be greater than the third side. In this case:
3 + 6 = 9 > c
So, the second option is correct. The third option is not correct, because, for example, c = 8 is possible
Answer:
9 ft
Step-by-step explanation:
Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)
for height, we get:
3V = (base area)(height), or
3V
---------------- = height
base area
Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:
3(75 ft^3) 9 ft
height = ------------------ = ----------------- = 9 ft
25 ft^2 1
A bag contains three red marbles, six blue marbles, and three yellow marbles.
therefore total no. of marbles = 3 + 6 + 3 = 12
total no. of red marble = 3
therefore probablity of selecting one red marble is 3/12 = 1/4
again total no. of blue marbles is 6
therefore probability of selecting one blue marble is 6/12 = 1/2
now total probability of selecting one red ball replacing it then selecting one blue marble is. 1/4 * 1/2 = 1/8
Answer:
20 tbsp of flour OR 1.25 or 1 
cups of flour
Step-by-step explanation:
10 tbsp of flour
*2
____________
20 tbsp of flour OR 1.25 or 1 cups of flour
