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Scrat [10]
2 years ago
14

2/15 ÷ 1/30 brainliest to the person who gets it correct and fast

Mathematics
2 answers:
Phoenix [80]2 years ago
5 0

To divide fractions, we must take a fraction that we divide by and flip it.

Look:

\frac{2}{15} *\frac{30}{1}

Yea! We multiply ! Because dividing by 1/30 is exactly the same thing as multiplying by 30/1.

Now let's reduce:

\frac{2}{1} *\frac{2}{1}

\frac{4}{1}

4

****************************

Please mark Brainliest! :)

muminat2 years ago
3 0

Answer:

4

Step-by-step explanation:

we know that 2/15 : 1/30 = 2/15 * 30 = 60/15 = 4

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Differentiate with respect to X <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7Bcos2x%7D%7B1%20%2Bsin2x%20%7D%20
Mice21 [21]

Power and chain rule (where the power rule kicks in because \sqrt x=x^{1/2}):

\left(\sqrt{\dfrac{\cos(2x)}{1+\sin(2x)}}\right)'=\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'

Simplify the leading term as

\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}

Quotient rule:

\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}

Chain rule:

(\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)

(1+\sin(2x))'=\cos(2x)(2x)'=2\cos(2x)

Put everything together and simplify:

\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}

=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2\sin^2(2x)-2\cos^2(2x)}{(1+\sin(2x))^2}

=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}

=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}

=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}

=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}

=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}

5 0
3 years ago
Cuatro meses después que se detuviera la publicidad, una compañia fabricante notifica que sus ventas han cai­do de 100.000 unida
Volgvan

Answer:

51,200 unidades

Step-by-step explanation:

Paso 1

Calculamos el porcentaje de disminución

= 100000 - 80000/100000 × 100

= 20000/100000 × 100

= 20%

Por lo tanto, el porcentaje de disminución cada mes = 20%

Paso 2

La fórmula de la disminución exponencial

y = a (1 - r) ^ t

a = 80.000

r = 20% = 0,2

t = tiempo en meses = 2

y = 80000 (1 - 0,2) ^ 2

y = 51.200 unidades

7 0
3 years ago
What is the measure of ∠x?
Dima020 [189]
The angle is a complementary angle so both angles add up to 90 degrees

Therefore set your equation equal to 90 to find angle of x

53+x=90

Subtract 53 from both sides

X= 37 degrees
6 0
3 years ago
What is the area of the rectangle?
almond37 [142]
Take a look at the picture i sent you

8 0
3 years ago
Read 2 more answers
What's the answer to this question
Cerrena [4.2K]
10.1 x 8 - 6 = 80.8 - 6 = 74.8
u just had to substitute the variables
3 0
3 years ago
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