First we should figure out the volume of the prism (ignoring the cylinder at the moment)
(base * height/2)*depth
We need to find the height of the triangle which can be done with pythagoras because this is a right angled triangle (as shown by the little square at the bottom)
12 is the hypotenuse.
√12²-10² =6.63 (rounded)
Now we have the height of the triangle and can find the volume.
12*6.63/2*15=596.7
Now we find the volume of the cylinder.
area of circle * depth
area=3.14*1.5²
3.14*2.25
7.065
7.065*15=105.975
Now we subtract the volume of the cylinder from the volume of the prism and you have:
596.7-105.975
490.725 which is your answer
Hope this helps :)
Answer:
a
Step-by-step explanation:
y=4x+6 is the equation simplified and that is what the graph is showing.
2.5 hours and you’re welcome
Answer:
4√2 + 2√10
Step-by-step explanation:
Finding the perimeter here involves finding three point-to-point distances and then adding them up.
From (2, 2) to (6, -2) we have a change in x of 4 and a change in y of -4. We use the Pythagorean Theorem to determine the distance, which is the hypotenuse of a right triangle:
√( [4]² + [-4]² ) = 4√2. This is the length of the side connecting (2, 2) and (6, -2).
From (6, -2) to (5, 1), the distance is √( [-1]² + 3² ), or √10.
From (5, 1) to (2, 2), the distance is √( [-3]² + 1² ), or √10.
The perimeter is the sum of these three distances and is:
4√2 + √10 + √10, or 4√2 + 2√10