Given: In Δ ABC, ∠B =90° , ∠C = 30° , ∠A = 60° and Hypotenuse AC = 10 inches
It has been described in the attachment.
Now, we shall calculate side AB and BC by using Trigonometric Ratios.
Sin 30° = AB / AC
or, AB = 10 × Sin 30° = 10 × 0.5 = 5 inches
And, Cos 30° = CB / AC
or, CB = 10 × Cos 30° = 10 × 0.866 = 8.66 inches
Now, we shall calculate the perimeter of the given triangle
Perimeter of the triangle = AB + BC + CA
or, = (5.0 + 8.66 + 10.0 ) inches
or, = 23.66 inches ≈ 23.7 inches
Hence, the best estimate for the perimeter of the triangle ( round to the nearest tenth will be 23.7 inches.
Answer:
the answer is 20 .put the 5 in place of x
and u always remember that f(5) =f(x)
Step-by-step explanation:
Answer:
1 hour 20 minutes
Step-by-step explanation:
Time to fix car ( repair time ) = 20 minutes
Breakdown rate ( λ ) = 2 car per hour
<u>first step : determine service the service rate ( μ )</u>
= 60 minutes / 20 minutes
= 3 cars per hour
<u>next : determine the average waiting time for a disabled car </u>
= 1 / (μ - λ)
= 1 / service rate - breakdown rate
= 1 / ( 3 - 2 )
= 1 / 1 = 1 hour
Finally Total time for a disabled car to be fixed
= repair time + average waiting time
= 20 minutes + 60 minutes
= 1 hour 20 minutes
Step-by-step explanation:
a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.
given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.
that means for ACDF that the sides DC and FA are equally long.
DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.
based on the SAS criteria this confirms that DF is congruent to AC.
the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.
so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have
360 = 4×angle
angle = 90 degree.
so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle
