<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.
Substituting a = 8, b = 15 and c = 17. Thus, we have;
Using Heron's formula, we have;
Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,
where 
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
Thus, the volume of the right triangular prism is 450 cubic units.
Answer:
0.6 miles
Step-by-step explanation:
Let's say the store is x miles away, she walks to the store in a hours, and she walks back in b hours.
First, her total time = time walked there + time walked back = a + b = 15 minutes = 1/4 of an hour = 0.25 hours
a + b = 0.25 (because a and b are in hours)
distance = speed * time
x = 6 miles/hour * a hours = 6a miles
x = 4 miles/hour * b hours = 4b miles
If we can find a or b, we can find x.
4b = x = 6a
4b = 6a
a + b = 0.25
We now have two equations with two variables. Using substitution, we can solve for one of them
a + b = 0.25
subtract a from both sides to find b
0.25 - a = b
plug that into the other equation, 4b = 6a
4(0.25-a) = 6a
1 - 4a = 6a
add 4a to both sides to isolate a and its coefficient
1 = 10a
divide both sides by 10 to solve for s
a = 1/10 of an hour = 0.1 of an hour = 60 minutes / 10 = 6 minutes
6a = x
6(0.1) = x
0.6 = x
the store is 0.6 miles away
