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:
The answer is on the picture.
Step-by-step explanation:
The answer is on the picture.
<u>Given</u>:
Let the two numbers be x and y.
Two numbers multiply to be -7 and add to be -6.
This can be written in equation as,
and
<u>Value of the two numbers:</u>
Let us determine the value of the two numbers using substitution method.
Substituting in the equation
, we get;
Simplifying, we get;
Thus, the values of x are x = 1,-7
When x = 1 , the equation becomes
When x = -7, the equation becomes
Therefore, the two numbers are 1 and -7