Answer:
![\boxed{ \bold{ \huge{\boxed{ \sf{62}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%5Cboxed%7B%20%5Csf%7B62%7D%7D%7D%7D%7D)
Step-by-step explanation:
![\sf{x ° + 118 ° = 180 ° }](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%C2%B0%20%2B%20118%20%C2%B0%20%3D%20180%20%C2%B0%20%7D)
( Sum of angle in straight line )
Move 118 to right hand side and change it's sig
⇒![\sf{x ° = 180 ° - 118 °}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%C2%B0%20%3D%20180%20%C2%B0%20%20-%20%20118%20%C2%B0%7D)
Calculate
⇒![\sf{x = 62 °}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%3D%2062%20%C2%B0%7D)
Hope I helped!
Best regards!!
Answer: total books = 180
Step-by-step explanation:
Given: Poetry section of the library has 6 bookcases.
Number of shelves in each bookcase = 3
Total shelves = (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)
= 3 x 6
= 18
Number of books in each shelf = 10
Total books = (number of shelves) x 10
= 18 x 10
= 180
hence, total books in the poetry section= 180
The length of AB is 220.6 meters
<h3>How to determine the length AB?</h3>
The given parameters are:
BC = 786
B = 110.2
C = 13.5
Start by calculating angle A using
A = 180 - B - C --- angles in a triangle
This gives
A = 180 - 110.2 - 13.5
Evaluate
A = 56.3
The side length AB is then calculated using:
AB/sin(C) = BC/sin(A)
Substitute known values
AB/sin(13.5) = 786/sin(56.3)
Multiply both sides by sin(13.5)
AB = sin(13.5) * 786/sin(56.3)
Evaluate
AB = 220.6
Hence, the length of AB is 220.6 meters
Read more about law of sines at:
brainly.com/question/4372174
#SPJ1
Answer:
I think the answer is 8 blue tiles and 20 green
Step-by-step explanation:
To keep the porportion multiply 2 blue tiles *4
then you need to take 5 green tiles *4
You get 8 blue tiles and 20 Green tiles, and added together you get 28 tiles
Answer:
The number of children are 4 out of which 3 are girls
Step-by-step explanation:
Data provided in the question:
P(Two randomly selected children are girls) = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
now,
let the number of children be 'n'
the number of girls be 'x'
thus,
P(Two randomly selected children are girls) =
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
also,
= ![\frac{n!r!}{(n-r)!}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21r%21%7D%7B%28n-r%29%21%7D)
thus,
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
or
=![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
or
2x(x-1) = n(n-1)
now
for x = 3 and n = 4
i.e
2(3)(3-1) = 4(4-1)
12 = 12
hence, the relation is justified
therefore,
The number of children are 4 out of which 3 are girls