Answer:
144 m^3
Step-by-step explanation:
Please find attached the image of the prisms
Volume of a triangular prism = area of the base x height of the prism
Area of the base = 1/2 ( base x height)
the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle
ratio of their dimensions = 6 / 1.5 = 4
the dimensions of the bigger triangle is 4 times that of the smaller triangle
height of the base of the prism = 1.5 x 4 = 6
Height of the prism = 2 x 4 = 8
Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2
Volume of the prism = 18 x 8 = 144 m^3
Answer:
-r+5<-3
Step-by-step explanation:
plug in 19 to the equation inequality
Answer:
It would take him 3 minutes
Step-by-step explanation:
15 x 3 = 45
Answer: 41.5 min
Step-by-step explanation:
This problem can be solved with the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the radioactive element
is the initial amount of the radioactive element
is the time elapsed
is the half life of the radioactive element
So, we need to substitute the given values and find from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing :
This is the time elapsed
The slope is negative as it slopes to the left
using the extremities of the line:-
-(10+10 / (10 + 10) = -1
slope is -1.
