Answer:
3.70 < 3.702 < 3 10/11 < 79/20
Step-by-step explanation:
Answer:
Step-by-step explanation:
The shaded region is the difference of areas of semicircle AB and triangle ABC.
ABC is right triangle as AB is diameter, so C is right angle.
<u>Area of semicircle:</u>
- A = 1/2πr² = 1/2*3.14*4² = 25.12 cm²
<u>Area of triangle:</u>
- A = 1/2BC*AC = 1/2*4*
= 2
= 13.86 cm²
<u>Shaded are is:</u>
- 25.12 - 13.86 = 11.26 cm²
The circumference of the drain to the nearest tenth is 15.10 inches.
<h3>What is the circumference?</h3>
The circumference of the drain is the distance round the drain. Since the drain has the shape of a circle, the formula used to determine the circumference of a circle would be used to determine the circumference of the drain.
Circumference of the drain = πd
3.14 x 4.8 =15.10 inches
To learn more about how to determine the circumference of a circle, please check: brainly.com/question/14351152
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Answer:
- t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Explanation:
<u>1) Explanation of the model:</u>
- Given: h(t) = -16t² + 48t
- This is a quadratic function, so the height is modeled by a patabola.
- This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.
<u>2) Axis of symmetry:</u>
- The axis of symmetry of a parabola is the vertical line that passes through the vertex.
- In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)
- In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5
<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.
Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
