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2 years ago

Write as a fraction in simplest form.

Mathematics

1 answer:

seropon [69]2 years ago

7 0

Answer:

2/4=1/2

3/6=1/2

4/16=1/4

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What is 8 divided by 1/4

katovenus [111]

8 divided by 1/4 is the same as 8 multiplied by 4, which is 32

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3 years ago

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2(x-3)=5(x-3)+10 Need urgent help

ArbitrLikvidat [17]

Step-by-step explanation:

2(x-3)=5(x-3)+10

=> 2x - 6 = 5x - 15 + 10

=> -6 + 15 -10 = 5x - 2x

=> 5x -2x = 15 - 6 - 10

=> 3x = 15 - 16

=> 3x = -1

$= > x = \frac{ - 1}{3} (ans)$

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2 years ago

What are the greatest common factor for 45 and 60

viva [34]

To find the Greatest Common Factor of 45 and 60, we do the following:

Find the Factors of 45 & 60.
45: 1, 3, 5, 9, 15, 45
60: 1, 2, 3, 4, 5, 6,10, 12, 15, 20, 30, 60

As you can see, 15 is the greatest common factor.

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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,

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

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3 years ago

I Need Help Quickly Please And Thank You

forsale [732]

Step 2: it should be P-2x, not +.

Hope this helped :)

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1 year ago

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