1. Find the slope of the line.

Mathematics

1 answer:

bija089 [108]3 years ago

8 0

Answer:

1/2

Step-by-step explanation:

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Tonys bill at the restaurant was $9.52. If he wants to leave a 20% tip, how much is that?

postnew [5]

Answer:

11.42 dollars

Step-by-step explanation: since you are adding a percentage turn 20% into a decimal. if you do this you will get .2. Next, multiple .2 by 9.52 and you will get 20% of 9.52. Now add this value to 9.52 and you will get 11.42 dollars.

6 0

3 years ago

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

Would you rather buy 18 eggs 2/8.00 or 18 eggs for 97c each

Vesnalui [34]

Answer:

18 eggs for 97 cents.

Step-by-step explanation:

.97/18 = 5 cents

4 0

3 years ago

Read 2 more answers

Which statements describe the rotations about the origin that could have transformed RSTU to R'S'T'U'? Check all that apply.