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3 years ago

67/63 as a mixed number

Mathematics

1 answer:

pishuonlain [190]3 years ago

8 0

It would be: 67/63 = 1 4/63

In short, Your Answer would be 1 4/63

Hope this helps!

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What is the volume of the cone below: 5 cm 12 cm 13 cm

maksim [4K]

Answer:

780cm cubed

Step-by-step explanation:

if we want to find the volume we would do length x width x height
which would be 5 x 12 x 13
so we would do 5 x 12 which is 60
then we would do 60 x 13 which equals 780
So the answer is 780
Since this is volume it would be 780cm cubed

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2 years ago

On Monday, Amanda runs 1 1/6 miles, and on Tuesday, she runs 2 1/2miles. How far did she run on Monday and Tuesday combined?

prohojiy [21]

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2 years ago

48x + 56xy .................

Liula [17]

Answer:

The A option is correct since:

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2 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,

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

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3 years ago

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The answer is D) 9 m.

Hope this helps! :)

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2 years ago