Arrange the digits 1-9 in the 9 boxes to make three equivalent fractions,all equal to 1/2

Mathematics

1 answer:

ElenaW [278]3 years ago

4 0

I'm confused because there are no boxes, but maybe 2/4 3/6 5/10

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Which of the following correctly expresses sin (70) + sin(30) as a product?

JulsSmile [24]

Answer:

2sin50 cos20

Step-by-step explanation:

We need to write sin (70) + sin(30) as a product. The formula used here is :

$\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})$

Here, A = 70 and B = 30

So,

$\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20$

So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is (c).

7 0

3 years ago

What is 1024 1/5 simplified?

frutty [35]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
1024\frac{1}{5}\qquad 
\begin{cases}
1024=2^{10}\\
\frac{1}{5}=5^{-1}
\end{cases}\implies 2^{10}5^{-1}$