Answer:
8/3
Step-by-step explanation:
to divide by a fraction multiply the reciprocal
2/3×4
calculate the product
2×4=8
8/3
Step-by-step explanation:
We can prove the statement is false by proof of contradiction:
We know that cos0° = 1 and cos90° = 0.
Let A = 0° and B = 90°.
Left-Hand Side:
cos(A + B) = cos(0° + 90°) = cos90° = 0.
Right-Hand Side:
cos(A) + cos(B) = cos(0°) + cos(90°)
= 1 + 0 = 1.
Since LHS =/= RHS, by proof of contradiction,
the statement is false.
not understanding what you are saying?
Answer:
51°
Step-by-step explanation:
Given
<QPR = 39°
<PQR = 90° ( inscribed angle in semi circle)
Now
<QPR + <PQR + <PRQ = 180° { being sum of angles of triangle)
39° + 90° + <PRQ = 180°
<PRQ = 180° - 39° - 90°
<PRQ = 51°
Hope it will help :)
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.