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:
What he did wrong is that he did not flip all of the points. since S is 1 point up, it would then reflect 1 point down. point P is 3 up and the reflection should be 3 down. Q should be 3 down as well and R is 1 down below the x axis. The Y does not move for all of the points.
Step-by-step explanation:
I hope this helps!
Answer:
he cable car's elevation will be 750 feet after 15 minutes
Step-by-step explanation:
Given:
elevation, e =2,000 feet
rate, I = 50 feet/minute
The equation that models the car's elevation, e, after t minutes is e = |t
The cable car's elevation will be 750 feet after how many minutes?
since, e = It
for 2,000 feet = 50 feet/minute * t
t = 2000/50 =40minutes
using the same constant rate, I for 750ft, T =
since, e = It
for 750 feet = 50 feet/minute * t
t = 750/50 =15minutes
Answer:
20.667
Step-by-step explanation: