Answer:
The area of the shape can be divided into the area of the rectangle, and the area of the semi-circle.
The area of the rectangle can be found by 
The area of a semi-circle can be found with the formula
where r is the radius.
Since we know the diameter of the semi-circle is 4,
the radius will be 4 ÷ 2 = 2.
Therefore, the area of the semi-circle is 
Therefore, the area of the shape is
or
(3 decimal places)
Since we have the 2.1 next to the parenthesis, we need to first distribute.
2.1 * x & 2.1 * 5
2.1x + 10.5
Then we take that and add the equals seven to the problem to move onto the next step.
2.1x + 10.5 = 7
We must get the 2.1x alone, therefore subtracting the 10.5 as it will also be subtracted on the other side as well.
2.1x + 10.5 = 7
- 10.5 -10.5
2.1x = -3.5
To get the x alone, we must divide both sides by 2.1, therefore removing the 2.1 from the x.
2.1x = -3.5
/2.1 /2.1
x = 1.66666666667
Hope this helped!
- Kat
For this use the law of sines:


cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:

therefore answer B. 42 is the correct answer!!
Answer:
6
Step-by-step explanation:
Deon has to pick 1 band for his favorite band, and one band for his second favorite band. There are 3 options for his favorite band, and after picking this band, there are 3-1=2 options for his second favorite band. 3*2=6.