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2 years ago

14

Bernardo is converting a fraction A/B, to a percent. Both A and B are whold numbers and not equal to zero. Which expression repr

esents the percent?
A. (A÷B)÷100

B. (B÷A)÷100

C. 100(A÷B)

D. 100(B÷A)

1 answer:

klasskru [66]2 years ago

4 0

A divided by B produces a decimal fraction. The percentage is found by mult. this decimal fraction by 100%. So the correct aswer is C.

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zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

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Using (x + a) (x + b) = x² + (a + b) x + ab, evaluate 75 x 77

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75 * 77=

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Step-by-step explanation:

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Grace [21]

Answer:

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