Answer:

Step-by-step explanation:
To find the area of the inner circle, we need to find its radius. Here, we can write the radius as 4 - x. Now, we can use the formula
:
A =
* 
We can expand the square:
A = 
Thus, the polynomial is
.
Hope this helps!
Answer:
(a - 7)(3 - x)
Step-by-step explanation:
Given
3(a - 7) - x(a - 7) ← factor out (a - 7) from both terms
= (a - 7)(3 - x)
Answer:
x = 3 and y = 2
x = 1.25 and y = 1.75
Step-by-step explanation:
Part 1:
See the diagram first.
If the two arrow lines are parallel then, the two triangles are similar.
So, the corresponding sides of the triangles are proportional.
So,
Hence, x = 3 and y = 2 (Answer)
Part 2:
See the diagram first.
If the two arrow lines are parallel then, the two triangles are similar.
So, the corresponding sides of the triangles are proportional.
So,
⇒
⇒ x = 1.25
Again,
⇒ y = 1.75
Hence, x = 1.25 and y = 1.75 (Answer)
Answer:
The value of Tan (a + b) is
.
Step-by-step explanation:
Given as :
Tan b = 
Sin a = 
∵Sin Ф = 
So,
= 
Now, Base² = Hypotenuse² - Perpendicular²
Or, Base² = 13² - 12²
Or, Base² = 169 - 144
Or, Base² = 25
∴ Base =
= 5
And Tan Ф = 
Or, Tan a = 
Now, Tan (a + b) = 
Or, Tan (a + b) = 
or, Tan (a + b) = 
or, Tan (a + b) =
Or, Tan (a + b) = 
Hence The value of Tan (a + b) is
. Answer