Answer:
Step-by-step explanation:
area=4×22/7×14²=4×22×28=2464 units²
The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
<h3>How to determine the missing sides and angles</h3>
In this question we have a triangle with a known <em>side</em> lengths and two known <em>angle</em> measures. First, we find the missing angle by <em>Euclidean</em> geometry:
C = 180° - 94° - 23°
C = 63°
Lastly, we determine the <em>missing</em> sides by law of sines:

b ≈ 28.084

c ≈ 25.084
The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
To learn more on triangles: brainly.com/question/2773823
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Area= length * width
Area= 5*4
Area= 20
I hope this helps!
~cupcake
Answer:
see explanation
Step-by-step explanation:
the vertices of S under the translation
are
(2, 3 ) → (2, 0 )
(6, 3 ) → (6, 0 )
(4, 5 ) → (4, 2 )
Under an anticlockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) then the above coordinates become
(2, 0 ) → (0, 2 )
(6, 0 ) → (0, 6 )
(4, 2 ) → (- 2, 4 )
which are the coordinates of the vertices of the image T
then the rotation is 90° anticlockwise about the origin , point (0, 0 )
Answer: 52.94
Step-by-step explanation:
Length of train A = 480m
Tunnel length = 1320m
Time taken to cross tunnel = 2 mins = 120sec
Length of train B = 420m
Train B is slower than train A
Difference between their speed = 18km/hr
18km/hr = (18×1000)/3600 = 5m/s
Speed of train A :
Speed = distance / time
Speed = 1320 / 120 = 11m/s
Therefore, speed of train B :
(11 - 5)m/s = 6m/s
Relative speed of the two trains is therefore;
(Speed of A + speed of B)
Note : they are moving in opposite direction
( 11 + 6)m/s = 17m/s
Therefore time taken to cross each other :
(Sum of the length of both trains / relative speed of the trains)
Time taken = (480m + 420m) / (17m/s)
Time taken = 900m / 17m/s
Time taken = 52.94s