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
1. Expand
2x − 2 + 4 = 4x + 4
2. Simply
2x + 2 = 4x + 4
3. Subtract
2 = 4x + 4 - 2x
4. Simplify
2 = 2x + 4
5.Subtract
2 - 4 = 2x
6. Simplify
-2 = 2x
7. Divide both sides by
-1 = x
8.Switch sides.
x = -1
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The average american eats 147 pounds of french fries in 18 years
Answer:
-6
-21
12
Step-by-step explanation:
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