Answer:
C. 36π units²
Step-by-step explanation:
Surface area of a sphere: 4πr²

B. Because the line is negative so it is rise over run meaning down one over two. Then the plus two is the b or y intercept in the equation y= my+b so you would go up two from the (0,0) to start the do the rise over run
what dou you need?????????
Answer:
b=−1/14ot+2
Step-by-step explanation:
Let's solve for b.
to−8+5b=−6+26−9b
Step 1: Add 9b to both sides.
ot+5b−8+9b=−9b+20+9b
ot+14b−8=20
Step 2: Add -ot to both sides.
ot+14b−8+−ot=20+−ot
14b−8=−ot+20
Step 3: Add 8 to both sides.
14b−8+8=−ot+20+8
14b=−ot+28
Step 4: Divide both sides by 14.
14b
14
=
−ot+28
14
b=
−1
14
ot+2
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