Answer:
-7/24 = r
Step-by-step explanation:
3/8 = r + 2/3
Subtract 2/3 from each side
3/8-2/3 = r + 2/3-2/3
3/8 - 2/3 = r
Get a common denominator or 24
3/8 *3/3 - 2/3 *8/8 =r
9/24 - 16/24 =r
-7/24 = r
Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is
, which is
. The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is
.
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
in²
Check the picture below.
so the pentagonal prism in the picture is been seen from the bottom, namely so we can see its base, however the base is at the bottom, what does that mean, it means that the pentagonal bases are the top and bottom of the prism, that matters, because the other sides are the lateral sides.
so, if we notice, the lateral sides are really just 5 rectangles, each one a 12x4, so if we simply get the area of all those rectangles.
5(12 * 4) = 240 in².
Answer:
His commission is 1642.69
Step-by-step explanation:
31/100=x/5299
Cross multiply
164,264/100=100x/100
1642.69=x