Answer:
A = 20sinθ(6 + 5 cosθ) cm²
Step-by-step explanation:
Drop perpendiculars DE and CF to AB.
Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.
The formula for the area of the trapezium is
A = ½(a + b)h
DE = 10sinθ
AE = 10cosθ
BF = 10cosθ
EF = CD = 12 cm
AB = AE + EF + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ
A = ½(a + b)h
= ½(12 +12 + 20 cosθ) × 10 sinθ
=(24 + 20 cosθ) × 5 sinθ
= 4(6 + 5cosθ) × 5sinθ
= 20sinθ(6 + 5 cosθ) cm²
Answer:
z<2
Step-by-step explanation:
-2(z + 5) + 20 > 6
Subtract 20 from each side
-2(z + 5) + 20 -20 > 6-20
-2(z + 5) > -14
Divide each side by -2 remembering to flip the inequality
-2/ -2(z + 5) < -14/-2
z+5 < 7
Subtract 5 from each side
z+5-5 < 7-5
z<2
Answer:
Step-by-step explanation:
48 * 
/ 180 = 0.837758041
Let the numbers be x and y; x being the larger number and y being the smaller.
Given,
x + y = 2* (x - y)
x + y = 2x - 2y
x = 3y
Also given,
x = 6 + 2y
3y = 6 + 2y
--- y = 6
Thus, x = 3y = 3*6 = 18.
Therefore, the numbers are 18 and 6.
Take -920/360 = -2.55555
Take the fraction part -0.5555555 * 360 = -200
The positive of that would be 160 degrees
