Answer:
{5π/6, 11π/6}
Step-by-step explanation:
Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.
The solution to this equation is ...
cot(θ) = -√3
so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.
Answer:
i think its x= 0.75
Step-by-step explanation:
substitute:
8x × 5 = 40x
8x × 10 = 80x
8 × 5 = 40
5 × 10 =50
40x + 80x = 40 + 50
add like terms
so it'd be:
120x = 90
now divide 90 by 120 and that would give you the value of x alone which is 0.75
Answer: 
Step-by-step explanation:
First, we divide the composite figure into two distinct geometric shapes. This would be a triangle and a square. To find the triangle we use the formula:
A = 1/2bh
To find the base of the triangle we can add:
9 + 9 + 18 = 36
Now we plug in and solve:
A = 1/2bh
A = 1/2(36)(27)
= 1/2(972)
= 486
To find the square, we can use length x width:
18×18 = 324
Now, we add the sums together:
486 + 324 = 810