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3 years ago

What is the difference between a 16 ounce brick and a carpenter?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

7 0

One weighs a pound, and the other pounds away!

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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

What is the value of 4/15 divided by 2/3

ruslelena [56]

Answer:

0.5

Step-by-step explanation:

I'm guessing os yeahhh

6 0

3 years ago

Please help me answer this with the correct answer :)

Andru [333]

Answer:

Step-by-step explanation:

Amber get $150 per week no matter wut and +$10 per tree sold so if she sells 5 trees she gets a total of $200

Jorge gets $25 per tree sold and an extra $75at the end of the week so 25(5)=125+75=200 so they both end up with $200 at the end of the week

4 0

3 years ago

deion has a 3/4 pound bag of dog treats. he will give his dog 1/8 of the treats after they play each day. how many will the bag

tester [92]

It will last 6 days because 3/4 is equal to 6/8 so 1/8 x _=6/8. The missing number is 6 which is 6 days

6 0

3 years ago

Please help me out.

grandymaker [24]

Answer:

it's 4

Step-by-step explanation:

big brainnnnnnnnnn

6 0

3 years ago

Read 2 more answers