Answer:
The answers are 
and 
.
Step-by-step explanation:
Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.
First, let's begin with 2:
Then, let's do 5:
Note that we already have 
, so we do not need to include an additional one.
Now, let us do 8:
See how we already have 
, so we won't have to include that as well.
Finally, let's do 20:
Now see that we already have both 
and 
, so we won't have to include both of them, as they are both extras.
Hence, the answers are and .
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Answer:
see explanation
Step-by-step explanation:
Under a translation < 5, - 9 >
5 is added to the original x- coordinate and 9 is subtracted from the original y- coordinate, that is
A(1, 4 ) → A'(1 + 5, 4 - 9 ) → A'(6, - 5 )
B(2, - 2 ) → B'(2 + 5, - 2 - 9 ) → B'(7, - 11 )
C(- 3, 2 ) → C'(- 3 + 5, 2 - 9 ) → C'(2, - 7 )
Answer:
Check my explanation
Step-by-step explanation:
(i) the area of the floor is 30m² (6m · 5m)
(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)
(iii) the area of the walls is:
24m² (for the 6m by 4m walls)
20m² (for the 5m by 4m walls)
88m² in total total
Given:
The given expression is:
To find:
The value of the given expression at 
.
Solution:
We have,
Substituting , we get
![\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5Csin%20%28-45%29-4%5Csin%20%5B4%28-45%29%5D%7D%7B%5Csin%20%5B5%28-45%29%5D%7D)
On substituting 
, we get,
Therefore, the value of the given expression at is 
.
