So, to find the volume of just the cement part, you need to find the volume of the whole shape, then find the volume of the garden. then subtract them to find the volume of just the cement sidewalk.
volume of garden: 16 x 6 x 1 (l x w x h)= 96 ft3
volume of whole: length=16+4+4=24, width=6+4+4=14, height=1
you have to add 4 to each sides of the length and width to get the entire length.
volume of whole=24 x 14 x 1=336 ft3
now subt.
336-90=246 ft3 would be the volume of the cement walkway.
Answer:
1/2
Step-by-step explanation:
A sample space is a collection or a set of possible outcomes of a random experiment.
I have created the sample space for these data and attached it. As you can see there are 16 possible outcomes.
To find the probability that the total showing is greater than 9, simply identify the number of values in the sample space that are greater than 9.
(I have highlighted these in yellow).
Therefore, P(X>9) = 8/16 = 1/2
A square's sides are always all congruent. A square's angles are always all congruent. The opposite sides of a square are always parallel.
- Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
- (x + y)^2 = x^2 + 2xy + y^2
- Standard Form: y = ax^2 + bx + c
So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>
However, we need to convert this into standard form still, and we can do it as such:
Firstly, solve the exponent: 
Next, foil -2(x^2+2x+1): 
Next, combine like terms and <u>your final answer will be:
</u>