What is DC if AC = 10 cm, BC = 6 cm, and EC = 12 cm? using the options below
2 answers:
To solve this question we will use a theorem called the intersecting secant theorem which states that "if 2 secants of a circle intersect outside the circle then product of their segments are equal".
Thus, applying this theorem in this question we see that:
Thus,
Thus,
Thus, out of the given options, the first option is the correct option.
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Answer:
b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:
Isolate b in order to find out how many points they need in the district match:
They need to score (T - a - c - d)/3, in the district match in order to win.
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
