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3 years ago

Do the following (show your work) 4[3+5(18/2-3)-12]+7^3 14(2)+3[35/2-6(5-2)]+3^2

1 answer:

6 0

Following BEDMAS

4[3+5(18/2-3)-12]+7^3
= 4[3+5(18/-1)-12]+7^3
= 4[3+5(-18)-12]+ 343
= 4[3+(-90)-12]+ 343
= 4[3+(-90)-12]+ 343
= 4[-99]+ 343
= -396 + 343
= -53

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Find the exact value of the given expression. sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

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3 years ago

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How is the numeral 55.12 written in words?

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Forty-eight decreased by a number is the same as the difference of four times the number and seven. Find the number

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Turn the text into an eqation:

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3 years ago