Answer: 57
Step-by-step explanation:
The ratios are both identical
sin x = perpendicular/hypotenuse = 3/5
cosy = base/hypotenuse = 3/5
Answer:
Fifteen is a factor of the number because both 3 and 5 are prime factors.
Step-by-step explanation:
2^3 * 3^2 * 5
= 2 * 2 * 2 * 3 * 3 * 5
As you can see from, the prime factors are 2, 3, and 5.
3 × 5 = 15, option A is correct.
By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
<h3>How to determine the maximum height of the ball</h3>
Herein we have a <em>quadratic</em> equation that models the height of a ball in time and the <em>maximum</em> height represents the vertex of the parabola, hence we must use the <em>quadratic</em> formula for the following expression:
- 4.8 · t² + 19.9 · t + (55.3 - h) = 0
The height of the ball is a maximum when the discriminant is equal to zero:
19.9² - 4 · (- 4.8) · (55.3 - h) = 0
396.01 + 19.2 · (55.3 - h) = 0
19.2 · (55.3 - h) = -396.01
55.3 - h = -20.626
h = 55.3 + 20.626
h = 75.926 m
By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
To learn more on quadratic equations: brainly.com/question/17177510
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