Option a: 
is the length of b
Explanation:
The angle of B is 
and 
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where , ,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is 
Hence, Option a is the correct answer.
Answer:
B. -3, -10, -17, -24, -31
Step-by-step explanation:
An Arithmetic sequence is defined as a set of numbers with a common difference. In answer choice B, it is seen that the difference between each number is seven.
A is incorrect as one to eight has a difference of seven, while the other numbers have a difference of eight.
C is incorrect as it skips the number 12 between 9 and 15, thus breaking the sequence.
D is incorrect as the numbers jump from positive to negative, thus not having a common difference.
Hope this helps!
Answer:
57 square feet
Step-by-step explanation:
Split the boxes into two parts.
One box measuring 11.5 ft long and 3 ft wide. (Box A)
The second box measuring 7.5 ft long and 3 ft wide. (Box B)
Area (figure) = Area of box A + Area of box B
Area of box A
3 × 11.5 = 34.5 ft²
Area of box B
3 × 7.5 = 22.5 ft²
Area of figure = 34.5 + 22.5
Area of figure = 57 ft²
