Answer:
The surface of the prism is 84m²
Step-by-step explanation:
You have 4 figures here (two the same triangles)
you need to determine the surface of each and then sum it to one. This will be your final surface.
rectangles:
3*6= 18m²
5*6 = 30m²
4*6 = 24m²
triangles:
You need to determine the square of the triangles from the Heron's formula.
Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is
,
where s is the semi-perimeter of the triangle; that is,
.
So the permimeter of the triangle is
2p=4+5+3 = 12m
p = 6m
![S = \sqrt{p*(p-a)*(p-b)*(p-c)} = \sqrt{6*(6-3)*(6-4)*(6-5)} = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7Bp%2A%28p-a%29%2A%28p-b%29%2A%28p-c%29%7D%20%20%3D%20%5Csqrt%7B6%2A%286-3%29%2A%286-4%29%2A%286-5%29%7D%20%20%3D%20%5Csqrt%7B6%2A3%2A2%2A1%7D%20%3D%5Csqrt%7B36%7D%20%3D6%5Bm%5E%7B2%7D%20%5D)
So the surface of the prism is a total sum of all surfaces:
P = 18m²+30m²+ 24m²+2*6m² = 84m²
Answer:
Step-by-step explanation:
<u><em>Given equation is</em></u>
Adding 42 to both sides
Completing squares
Adding (3)² => 9 and (3)² => 9 to both sides
Comparing it with 
where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius = 
Slope is the change in Y over the change in X:
Slope = (6 - -8) / (5 - -3)
Slope = (6+8) / (5+3)
Slope = 14/8
Slope = 7/4
It has no solutions. Hope it helps
Your answer is 250,000. There are two ways to do this problem.
1) Solve 500/4 to find out how many sheets of paper you get per every dollar. — Your answer is 125 sheets for $1. Then you multiply that answer by 2000, and get 250,000. Which means you get 250,000 sheets of paper for $2000.
2) You can divide 2000 by 4 & that gets you 500, you can then multiply that by 500 & you will get 250,000.
Hope this helps.
