4x+11+7x-6+43= 180
11x = 132
x = 12
7(12)-6 = 78
RTS = 78 degrees
Answer:
30.6 cm²
Step-by-step explanation:
The area of the parallelogram is simply the sum of the areas of the component three shapes - the square and the two triangles.
Area of square = 4.5 cm × 4.5 cm = 20.25 cm²
Area of two triangles = 2 ×(1/2) × 2.3 cm × 4.5 cm = 10.35 cm²
Area of parallelogram = 20.25 cm² + 10.35 cm² = 30.6 cm²
Answer:
2 5/6
Step-by-step explanation:
9 5/12 - 6 7/12
We will need to borrow from the 9
8 12/12 + 5/12 - 6 7/12
8 17/12 - 6 7/12
(8-6) + (17/12 -7/12)
2 10/12
This simplifies. Divide the top and bottom of the fraction by 2
2 5/6
Ufhfudufufufufufufudufufufufufyfydyfuf
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
