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dem82 [27]
3 years ago
7

The rectangular sandbox at the local community park has a width of 24.5 meters and its length is 31.7 meters. What is the perime

ter, in meters, of the rectangular sandbox?
Mathematics
1 answer:
eduard3 years ago
5 0
The answer is 112.4 because 24.5+24.5+31.7+31.7=112.4.
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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

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Reorder

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

From trigonometry;

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So;

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Also from trigonometry;

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So,  

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

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

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