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3 years ago

14. Divide and write the fraction or mixed number in its simplest form:1/4÷3/8

Mathematics

1 answer:

sasho [114]3 years ago

3 0

Answer:

<em>1/4 ÷ 3/8 = </em><em>2/3</em>

Step-by-step explanation:

When dividing fractions, you have to take the reciprocal of the second fraction, then multiply from there. The reciprocal of a fraction is basically flipped. So then, 1/4 ÷ 3/8 becomes 1/4 x 3/8. Multiplying fractions should be pretty straight forward as you just need to multiply numerator (top number of a fraction) with numerator and vice versa for the denominators (bottom number of a fraction).

So then you get: (1 x 8)/(3 x 4) = 8/12. Then you just simplify it by dividing the numerator and denominator by their greatest possible factor, which in this case is 4. So then, (8 ÷ 4)/(12 ÷ 4) = 2/3.

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3 years ago

Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)

ikadub [295]

<em>The right answer for:</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point $(x,y)$ on the graph of $y=cos(x)$ then the point $(-x,y)$ also lies on the graph of the function. In other words, we can write:

$cos(-170^{\circ})=cos(170^{\circ})$

But:

$170^{\circ}=180^{\circ}-10^{\circ}$

So:

$cos(170^{\circ})=cos(180^{\circ}-10^{\circ})$

By property:

$cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\ cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}$

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

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3 years ago

What is the slope of -9

maksim [4K]

Answer:

Step-by-step explanation:

the slope of -9 is -9/1

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4 years ago

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-3(n+9)=15<br> i need the step of solving this plzz brainliest if right!!

raketka [301]

Answer:

n = -14

Step-by-step explanation:

-3(n+9)=15

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Answer:

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Step-by-step explanation:

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14. Divide and write the fraction or mixed number in its simplest form:1/4÷3/8​

14. Divide and write the fraction or mixed number in its simplest form:1/4÷3/8