(a) 26.8% of 67.5 is what?(b) 215% of what number is 89.87?

Mathematics

1 answer:

Alchen [17]3 years ago

6 0

Part (a):

Turn percentage into a decimal.

26.8% = 0.268

Multiply.

67.5 * 0.268 = 18.09 (Answer)

Part (b):

Divide.

89.87 / 215 = 0.418

Turn into a whole number.

0.418 = 41.8 (Answer)

Turn percentage to a decimal to check.

215% = 2.15

Multiply

41.8 * 2.15 = 89.87

Hope This Helped! Good Luck!

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$\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------$

$(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s$