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3 years ago

I need help with (b) plz help me

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

He would need to work at least five hours

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7/6 - (1/4 + 1/3) =??

Hitman42 [59]

Answer:

7/12

Step-by-step explanation:

7/6 - (1/4 + 1/3) =

7/6 - 1/4 - 1/3 = 14/12 - 3/12 - 4/12 = 7/12

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3 years ago

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Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

4 0

3 years ago

Please help me with this homework question

castortr0y [4]

Answer:

∠ADB≅∠ABC by the Alternate Interior Angles Theorem

∠CAD≅∠ACB by the Alternate Interior Angles Theorem

∠BAD and ∠ADV are supplementary by the Consecutive Interior Angle Theorem

∠ABC and ∠BCD are supplementary by the Consecutive Interior Angle Theorem

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3 years ago

The following table shows how far a runner has gone in t minutes. Which of the following represents this information?

BigorU [14]

Answer:

The correct answer is B) d=250t.

Step-by-step explanation:

B is the correct answer because the total distance (d) equals 250 multiplied by the minutes (t) the runner has ran.

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3 years ago

Mrs. Klein surveyed 240 men and 285 women about their vehicles. Of those surveyed, 155 men and 70 women said they own a red vehi

vesna_86 [32]

I attached the answer

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3 years ago

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