The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
Answer:
5050
Step-by-step explanation:
Answer:
1 3/8
Step-by-step explanation:
3 2/3 = 11/3
2 2/3 = 8/3
11/3 / 8/3 = 11/3*3/8 = 11/8 = 1 3/8
Answer:
b.
Step-by-step explanation:
Stem is the first digit and the leaf is the last digit.
Below the table is explained that 1 l 7 is 1.7 because it also could mean 17. So with that clear the terms from the Stem l Leaf are as follow:
1 combined with 3, 7 and 7:
1.3, 1.7 and 1.7
2 combined with 6, 8 and 8:
2.6, 2.8, 2.8
3 combined with 5 and 7:
3.5 and 3.7
All the terms:
1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7
Answer: x = 3 and y = 1
Step-by-step explanation:
y = - x + 4 ............... equation 1
y = x - 2 ............. equation 2
Solving the linear equation by substitution method , we have :
substitute equation 2 into equation 1 , that is
x - 2 = - x + 4
Add 2 to both sides , we have
x = -x + 4 + 2
Add x to both sides , we have
2x = 6
divide through by 2
x = 3
Substitute x = 3 into equation 2 to find the value of y , we have
y = x - 2
y = 3 - 2
y = 1
Therefore : x = 3 and y = 1
