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
Answer:
Step-by-step explanation:
Sorry it took so long
Answer:
36:54:90
Step-by-step explanation:
you add all the parts together (2+3+5) which is 10. then you divide 180 by 10 because angles in triangle add up to 180. so 18 is one part
then you just times 18 by each part in the ratio
Answer:
Undefined (DNE)
Step-by-step explanation:
Any vertical line has an undefined slope.
9514 1404 393
Answer:
F. 30·tan(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between the opposite and adjacent sides in a right triangle.
Tan = Opposite/Adjacent
tan(52°) = BD/DL
BD = DL·tan(52°)
The boat-to-dock distance is ...
30·tan(52°) . . . . matches F
