A=5 and b=-5 , 2ab-a^(2)

Mathematics

1 answer:

luda_lava [24]2 years ago

7 0

Answer:

Step-by-step explanation:

2(5)(-5)-(5)^2

=−75

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A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc

Debora [2.8K]

Answer:

Step-by-step explanation:

Look at the picture.

At the beginning we have to calculate what part of the angle 360° is the given angle 75°.

$\dfrac{75}{360}=75:360=0.2$

The same part of the circumference of the circle is the arc defined by this central angle.

The circumference C = 20.

Therefore

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3 years ago

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0 What to do?

siniylev [52]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}$

Step-by-step explanation:

$12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}$