Applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
<h3>What is the Tangent Theorem?</h3>
The tangent theorem states that if a line is tangent to a circle, the point at which the radius is drawn to the point of tangency is a right angle.
Thus, consider triangle AKO as a right triangle.
Therefore,
- angle A = reference angle
- Ok = 5 (opposite)
- AO = 15 (hypotenuse)
Using the trigonometry ratio, SOH, we have:
sin A = opp/hyp
sin A = 5/15
sin A = 0.3333
A = 19.5°
Therefore, applying the tangent theorem and trigonometry ratio, the measure of angle A is: 19.5°.
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Answer:
Step-by-step explanation:
Let
x ----> 3-room apartments
200-x ----> 4-room apartments
we know that
To find out how many rooms are there in the complex, sum the number of 3-room apartments multiplied by 3 plus the number of 4-room apartments multiplied by 4
so
Apply distributive property
Combine like terms
Answer: b=2a/h-a
Step-by-step explanation:
We first determine the z-scores for the given x-values of 64 and 96.
For x = 64: z = (64 - 80) / 8 = -2
For x = 96: z = (96 - 80) / 8 = 2
Therefore we find the probability that -2 < z < 2, which is around 0.95. Therefore, out of 100 students, approximately 100(0.95) = 95 students will weigh between 64 and 96 pounds.
