To find the volume of a triangular prism, you can find the area of the base triangle, and multiply that value by the height of the prism.
So let's first find the area of the base triangle (which is its base times height, divided by 2):

Then, multiply this value by the height of the prism, which will give you the prism's volume:

Your answer is 60.75 miles³, or option 2.
-2(1-7n)-5n=34
Multiply the bracket by -2
(-2)(1)=-2
(-2)(-7n)=14n
-2+14n-5n=34
-2+9n=34
Move -2 to the other side. Sign changes from -2 to +2.
-2+2+9n=34+2
9n=34+2
9n=36
Divide by 9 for both sides
9n/9=36/9
n=4
Answer: n=4
C. 48
If Lionel started with 48, and he gave 1/2 of them to Rick (24), then he is left with 24. If he then gives his brother 1/2 of that (12) then he has 12 left.
Questions 1 and 2 are correct.
Question #3 is A
Question #4 is C
Question #5 is C
Hello!
The answer is:
Luke did a work of 308N.m or 308 Joules.
<h2>
Why?</h2>
When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.
We can calculate the work done by using the following equation:

Where,
Work is the transferred energy.
Force, is the force applied to the object.
Distance, is the distance covered due to the applied force.
α, is the angle at the work is done.
We are given the following information to calculate the work done:

So, substituting the given information into the equation to calculate work, we have:

Hence, we have that Luke did a work of 308N.m or 308 Jouls.
Have a nice day!