Answer:
6 inches
Step-by-step explanation:
The volume of a triangular pyramid can be found using
v=1/3bh
where b is the area of the base, and h is the height
We know the volume is 12, so let's find the area of the base
The area of a triangle can be found using:
a=bh/2
We know the base is 4, and the the height is 3, so we can substitute them in
a=4*3/2
a=12/2
a=6
Now, we can solve for the height
v=1/3bh
Substitute 12 in for v, and 6 in for b
12=1/3(6h)
Multiply both sides by 3
3*12=1/3(6h)*3
36=6h
Divide both sides by 6
h=6
The height is 6 inches
28x+-21 you simplify them first
Answer:
x = 2, y = 7, z = 12
Step-by-step explanation:
x + y - z = -3 (1)
3x - y + z = 11 (2)
x - 4y + z = -14 (3)
add (1) and (2)
4x = 8 x = 2
add (1) and (3)
2x - 3y = -17
2(2) - 3y = -17
-3y = -17 - 4
-3y = -21
y = 7
Find z using any equation
x + y - z = -3
2 + 7 - z = -3
9 - z = -3
z = 12
1/8
hopefully this is helpful
Answer:
parallel
Step-by-step explanation:
all the details are in the attached picture.