Answer:
Find the radius
Square the radius
Multiply by pi
Round to nearest hundredth
1. Area of triangle
1/2(10)(12)=60
There are two triangles, so multiply by 2
=120
2. Find area of the rectangles
This is an isosceles triangle, so the two rectangles are congruent
(2)(13)(3)=78
3. Find area of bottom rectangle
10(3)= 30
4. Add everything up
120+ 78 + 30= 228
Therefore the surface area of this prism is 228
I hope i helped :)
First. we use the Pythagorean theorem:

Add the numbers in

start simplifying


So, the leg has a length of 40 mm.
Answer:
450 minutes
Step-by-step explanation:
Given
w = 45000 - 100t
Required
Determine how long it'll take to empty the pool
Being empty means there's no water in the pool.
So, we have to set w to 0 to get the value of t
i.e w = 0
Substitute 0 for w in w = 45000 - 100t
0 = 45000 - 100t
Collect Like Terms
100t = 45000
Divide through by 100.
t = 450
Hence, it'll take 450 minutes to empty the pool
Why not draw the graph of y=|x|? It has a v-shape, and the vertex is at (0,0).
The graph of f(x) = |x| - 3 looks exactly the same, EXCEPT that the whole graph of |x| is shifted 3 units downward. The smallest value that y can have is therefore -3.
Can you now figure out the range of f(x)?