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ruslelena [56]
3 years ago
12

Match the parent function name with the equation. Linear Quadratic Radical Absolute Value Rational Exponential Log Cubic Cube Ro

ot
Mathematics
1 answer:
ozzi3 years ago
5 0

Step-by-step explanation: The correct graph is #6. Cubic Function

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
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<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

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