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3 years ago

4/7 divided by 7/2?????

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

8 0

Answer:

8/49

Step-by-step explanation:

4/7 ÷7/2

Copy dot flip

4/7 * 2/7

Multiply the numerators

4*2 = 8

Multiply the denominators

7*7= 49

numerator over denominator

8/49

Goshia [24]3 years ago

4 0

Answer: 8/49

Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.

So 4/7 ÷ 7/2 means the same thing as 4/7 · 2/7.

So when dividing by a fraction, we can just multiply by the

reciprocal of that fraction or that fraction flipped.

Now multiply across the numerators

and denominators to get 8/49.

Since 8/49 is in lowest terms, it's our final answer.

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2 years ago

Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
-------------------------------\\\\
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3 years ago