I need help on solving these problems.

Mathematics

1 answer:

TiliK225 [7]3 years ago

5 0

Answer:

not sure

Step-by-step explanation:

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Which algebraic expression represents this phrase?

Westkost [7]

The word "product" means multiplication

that means the answer is

40 · d

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3 years ago

Which expression has exactly two terms 4n Ab2 5y2 3x5

mojhsa [17]

The expression 5 y 2 has exactly two terms

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3 years ago

Read 2 more answers

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

I'LL INSTANTLY MARK YOU BRAINLY PLS HELP MEEE

Sever21 [200]

Answer:

7512 hours

Step-by-step explanation:

There are 8760 hours in a year.

There are 52 hours on Thursdays and Saturdays in a year.

The number of hours for Thurdays and Saturdays in a year is 1248.

8760-1248= 7512

6 0