Answer:
20 minutes.
Step-by-step explanation:
Since it takes 5 people to paint 5 walls 20 minutes, that means that it would take 1 person 20 minutes to paint 1 wall. That also means that 2 people would take 20 minutes to paint 2 walls. So, it would take 9 people 20 minutes to paint 9 walls.
Hope this helps!
The Least Common Multiple is 5 because 5 goes into 5 one time and 5 goes into 150 thirty times. That is the only multiple of 5 that goes into 150
Answer:
8) h = 30
r = 16
l= 34
Surface Area= 2514.28
Volume= 8045.71
9) r = 12
h = 2
l = 5/2
Surface Area= 908.08
Volume= 298.42
Step-by-step explanation:
8)
h = 30
r = 16
l=?
Since its is right angled triangle, using pythogras theorem we can find the length of cone
l^2 = h^2 + r^2
l^2 = (30)^2 + (16)^2
l^2 = 900 + 256
l^2 = 1156
Taking square root on both sides
√l^2 = √1156
l = 34
Surface Area =
[/tex]
π = 22/7, r = 16, h=30
Surface Area = 
Volume = 
π = 22/7, r = 16, h= 30
Volume = 
9)
r = ?
h = 2
l = 5/2
Since its is right angled triangle, using pythogras theorem we can find the radius of cone
l^2 = h^2 + r^2
(5/2)^2 = (30)^2 + (r)^2
25/4 = 900 + r^2
r^2 = 900 * 4/25
Taking square root on both sides
√r^2 = √144
r = 12
Surface Area =
[/tex]
π = 3.14, r = 12, h=2
Surface Area = 
Volume = 
π = 22/7, r = 12, h= 2
Volume = 
<u>We are given:</u>
f(x) = 3x + 8
g(x) = -x³
__________________________________________________________
<u>The Concept:</u>
We have to find the values of f(g(3)), which means that we have to apply the function g() on 3 and apply the function f() on the value we get.
<u>Finding f(g(3)):</u>
<u>Finding g(3):</u>
g(x) = -x³
g(3) = -(3)³
g(3) = -27
<u>Finding f(g(3)):</u>
f(x) = 3x + 8
f(g(3)) = 3(g(3)) + 8
f(g(3)) = 3(-27) + 8
f(g(3)) = -81 + 8
f(g(3)) = -73
Hence, f(g(3)) = -73
Answer:
<em>a = 8, b = 10</em>
Step-by-step explanation:
- We know the measurements of one half of the triangle.
- We know that the triangles are a slightly different size but they have one side that is the same length, which measures 6. If we rotated the triangles, 10 would be the same as side b on the smaller triangle.
- We can represent this with
, or
. - With the triangles rotated, we know if 10 is the same side as b (b is NOT 10, by the way!) then 8 would be the same side as a (
) - So if the third side of both triangles is 6, then we can set up all of this information to figure out what a and b are. How?
- Well, if
=
and
=
, then 8b = 10a. What does 8 and 10 both go into? 80! So what would we multiply 8 and 10 by (which would be a and b) to get 80 on both sides? - a = 8 because 10 • 8 = 80.
- b = 10 because 8 • 10 = 80.
- That would get us 80 = 80, which is not an impossibility! :D
If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.