Hello!
To find the surface area you can divide the prism into the 2D shapes it is made of
First list out all the shapes
2 triangles with bases of 18 and heights of 15.6
3 rectangles with side lengths of 20 and 18
First find the area of the triangles
The equation to find the area of a triangle is
A is area
h is height
b is base
Put in the values you know
Solve
A = 140.4
The triangles have an area of 140.4 units
Next we find the area of a the rectangles
To do this we multiply the sides
18 * 20 = 360
The rectangles have areas of 360 units
Now we add all the areas
There are 2 triangles and 3 rectangles
140.4 + 140.4 + 360 + 360 + 360 = 1360.8
The answer is B) 1360.8cm squared
Hope this helps!
This is about understanding rigid transformations.
<u><em>Option 4 is not a rigid transformation.</em></u>
- In mathematics, transformation could be;
Rigid Transformation; This includes reflection, rotation, translation.
Non - Rigid Transformation; This includes dilation and shear.
- Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.
Whereas, it is termed non - rigid transformation if the shape or size changes.
Let us look at the triangles in the option;
- Option 1; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 2; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.
Read more at; brainly.com/question/16979384
Check the picture below.
so by graphing those two, we get that little section in gray as you see there, now, x = 6 is a vertical line, so we'll have to put the equations in y-terms and this is a washer, so we'll use the washer method.
the way I get the radii is by using the "area under the curve" way, namely, I use it to get R² once and again to get r² and using each time the axis of rotation as one of my functions, in this case the axis of rotation will be f(x), and to get R² will use the "farthest from the axis of rotation" radius, and for r² the "closest to the axis of rotation".
now, both lines if do an equation on where they meet or where one equals the other, we'd get the values for y = 0 and y = 1, not surprisingly in the picture.
![\displaystyle\pi \int_0^1\left( 3y-3y^2-\cfrac{y^2}{16}+\cfrac{y^4}{16} \right)dy\implies \pi \left( \left. \cfrac{3y^2}{2} \right]_0^1-\left. y^3\cfrac{}{} \right]_0^1-\left. \cfrac{y^3}{48}\right]_0^1+\left. \cfrac{y^5}{80} \right]_0^1 \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{59\pi }{120}~\hfill](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cpi%20%5Cint_0%5E1%5Cleft%28%203y-3y%5E2-%5Ccfrac%7By%5E2%7D%7B16%7D%2B%5Ccfrac%7By%5E4%7D%7B16%7D%20%5Cright%29dy%5Cimplies%20%5Cpi%20%5Cleft%28%20%5Cleft.%20%5Ccfrac%7B3y%5E2%7D%7B2%7D%20%5Cright%5D_0%5E1-%5Cleft.%20y%5E3%5Ccfrac%7B%7D%7B%7D%20%5Cright%5D_0%5E1-%5Cleft.%20%5Ccfrac%7By%5E3%7D%7B48%7D%5Cright%5D_0%5E1%2B%5Cleft.%20%5Ccfrac%7By%5E5%7D%7B80%7D%20%5Cright%5D_0%5E1%20%5Cright%29%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Ccfrac%7B59%5Cpi%20%7D%7B120%7D~%5Chfill)
Answer:
Step-by-step explanation:
The modelled equation, P = 20n - 1200 is written in the slope intercept form. The slope of the line is 20. The line cuts the vertical axis at - 1200
a) the p intercept is - 1200(cost of production)
b) at the p intercept, the number,
n = 0. It means that no watches are sold. Therefore,
If the company sells 0 watches, it will lose $1200
c) the n intercept is the point where the line cuts the x axis.
At the n intercept, P = 0
0 = 20n - 1200
20n = 1200
n = 1200/20
n = 60
d) if the company sells 60 watches, it will lose $0
