Answer:
The slope = -5
Step-by-step explanation:
y ≥ -5x + 8
Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The distance from point C to point D is 258.8 meters.
<h3>What is Tangent (Tanθ)?</h3>
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The distance from point C to D is equal to the distance from point A to B. Therefore, the height of the building can be written as,
Tan(25°) = AB / BC
Tan(25°) × 555 m = AB
AB = 258.8 meters
Hence, the distance from point C to point D is 258.8 meters.
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Answer:
D. 12°
Step-by-step explanation:
80° + 5x = 140°
or, 5x = 140° - 80°
or, x = 60°/5
:. = 12° <em><u>Ans</u></em>
Option A: 4 is the solution
Explanation:
The given expression is 
We need to determine the solution of the expression.
<u>Solution:</u>
The solution of the expression can be determined by solving the expression for t.
Let us solve the given expression.
Applying the log rule, if
then 
Thus, we have;

Adding both sides of the equation by 4t, we get;

Adding both sides of the equation by 3, we have;

Dividing both sides of the equation by 5, we get;

Hence, the value of t is 4.
Therefore, the solution of the given expression is 4.
Thus, Option A is the correct answer.