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2 years ago

Reduce these fractions to the simplest form: 21/42= *

Mathematics

1 answer:

timurjin [86]2 years ago

3 0

Answer:

1/2

Step-by-step explanation:

21 divided by 42 is 1/2

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Juan made 13 out of 20 free throws. If Botina shoots 25 free thows, what's the minimum number she has to make in order to have a

Dahasolnce [82]

Answer:

the answer is 17

Step-by-step explanation:

juans free throw % is 65 so botina has to make 17 out of 25 to get a better percent which is 68

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3 years ago

Read 2 more answers

Two bags contain blue and red marbles. The first bag contains 3 blue and 5 red marbles. The second bag contains

dimaraw [331]

Answer: 1/8

Step-by-step explanation:

First Bag and Second Bag

$\dfrac{3\ blue}{8\ total}$ x $\dfrac{2\ blue}{6\ total}$ = $\dfrac{6}{48}$

which reduces to $\boxed{\dfrac{1}{8}}$

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3 years ago

The height of a skydiver jumping out of an airplane is given by h=16t +3200

AVprozaik [17]

Answer:

The answer is yes :)

Step-by-step explanation:

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2 years ago

Necesito resolver esta ecuación de segundo grado: x^{2} =x

ch4aika [34]

Answer:

x = 0 , 1

Step-by-step explanation:

x² = x

x² - x = 0

x ( x-1 ) = 0

x=0 and x=1

6 0

2 years ago

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

2 years ago