Given: Lateral Surface area=156m
Breadth=8m height=6m
⇒ L.S.A=2(bh+lh)=2(l+b)h
⇒156=2(l+8)h
⇒156=2(l+8)×6
⇒l+8=
12
156
=13
∴l=13−8=5m
Hence, length of the room=5m
1: b=9
2: a= 24
3: c=17
4: b=10
Use a^2 + b^2 = c^2 to answer.
1: 12^2 (144) + b = 15^2 (225)
225-144 = 81
Square root 81 = 9
2: a + 49 = 625
625-49=576
Square root 576 = 24
3: 64 + 225 = 289
Square root 289 = 17
4: 576 + b = 676
676-576 = 100
Square root 100 = 10
Answer:
1)
<u>Find the union of A and B:</u>
- A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}
<u>Find the complement of above:</u>
- (A∪B)
= - U\(A∪B) =
- {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} =
- {1,8,12,16}
2)
<u>Find the intersection of A∩C:</u>
<u>Find the complement of above:</u>
- (A∩C)
= - U\(A∩C) =
- {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} =
- {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}
Answer:

Step-by-step explanation:
We want to simplify:

We rewrite to get:

We now apply the laws of indices

We simplify to get 
We leave our final answer is scientific form.
The final answer is therefore:
