Answer:You'll find that x = 671 miles
Step-by-step explanation:
Setting up and solving an equation of ratios is one of the fastest ways in which to solve this kind of probelm.
183 miles 3 hrs
-------------- = ------------
x 11 hrs
Answer:
It is not a right triangle.
Step-by-step explanation:
We can prove this by Pythagorean theorem because it represents to a right triangle.
Pythagorean theorem:
a² + b² = c²
Now substitute the values.
Note: the longest side will represent c
So,
a = 10 m
b = 16 m
c = 20 m
10² + 16² = 20²
The objective here is to make them equal.
100 + 256 = 400
356 ≠ 400
They are not equal so it is not considered a right triangle.
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
The height of the tower is 25.5 :))))