Answer:
480 in3
Step-by-step explanation:
So the first thing I looked at was how to find the volume of a 3-dimensional square. Why do we have to do this? Well, we can see that the shape is made up of 3 different types of 3-dimensional cubes so to find the answer all we have to do is figure out the volume for each separate cube and add them all together.
So, to find the volume of a cube we have to multiply the area (length x width) by the height of each cube.
Let's start with the largest cube so we would multiply 5 x 12 x 4 which equals <u>v = 240</u>
Now let us do the second to largest by multiplying 8 x 5 x 4 = which equals <u>v = 160</u>
Finally, on to the smallest cube, 4 x 4 x 5 =
<u>v = 80</u>
So now if we add <u><em>240 + 160 + 80</em></u> that will give us 480
So the answer is <u><em>480 in3</em></u>
Hope this is correct I was a little confused while I was figuring it out :0 Sorry if it is wrong :(
That is a 90 degree angle.
Answer:
<em>The polygon area is </em>
<em />
Step-by-step explanation:
Points:
(2,7), (8,2), (6,11), (6,5), (11,6)
1. The area of the polygon could be calculate with the eqation:
![A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%26y_%7B1%7D%5C%5Cx_%7B2%7D%20%26y_%7B2%7D%5C%5Cx_%7B3%7D%20%26y_%7B3%7D%5C%5Cx_%7B4%7D%20%26y_%7B4%7D%5C%5Cx_%7B5%7D%20%26y_%7B5%7D%5Cend%7Barray%7D%5Cright%5D)
2. Replace the coordinates in equation for A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D)
3. Solve the determinant, and calculate A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%286%29%287%29%2B%2811%29%2811%29%2B%288%29%286%29%2B%286%29%282%29%5D-%5B%282%29%2811%29%2B%286%29%286%29%2B%2811%29%282%29%2B%288%29%285%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B42%2B121%2B48%2B12%5D-%5B22%2B36%2B22%2B40%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B223%5D-%5B120%5D%5C%5C%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B103%5D%3D51%2C5%20U%5E%7B2%7D)
<em>The polygon area is </em><em />
Answer:
She will need to earn a little more than $1333 that week.
Step-by-step explanation:
600/0.45 = 1333.333(repeating) rounded to nearest dollar is 1333
Check by doing 1333 x 0.45 (comes out to be 599.85)
Answer:
14
Step-by-step explanation:
20-6=14
x=14
