Answer:

Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the
we can deduce that 
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is 
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of
which is our answer.
The answer is
2. 2a+12
Show work
2a+7+2a+7+4+4= 4a+22
A+2+a+2+3+3 = 2a+10
(4a+22)-(2a+10) = 2a+12
Answer:
Dimensions of original room = 12 x 12 feet.
Explanation:
Let the size of old square room be a x a.
New dimension = ( a+4 ) x ( a + 6 )
We have area of the new room will be 144 square feet greater than the area of the original room.
So, ( a+4 ) x ( a + 6 ) = a x a + 144
a²+10a+24= a²+144
10a = 120
a = 12 feet.
Dimensions of original room = 12 x 12 feet.