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2 years ago

Find the exact value of sin 15 degrees

Mathematics

1 answer:

FromTheMoon [43]2 years ago

5 0

Answer:

Hi,

Step-by-step explanation:

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

a=45° and b=30°

$sin(45^o-30^o)=sin(45^o)*cos(30^o)+cos(45^o)*sin(30^o)\\\\=\dfrac{\sqrt{2}}{2}* \dfrac{\sqrt{3}}{2}+\dfrac{\sqrt{2}}{2}*\dfrac{1}{2}\\\\\\\boxed{sin(15^o)=\dfrac{\sqrt{2}}{4}*(1+\sqrt{3} )}\\$

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What is the product of -3/8 + -4/12 simplfy your answer

Snezhnost [94]

Answer:

$-\frac{17}{24}$

Step-by-step explanation:

First we need to find the common denominator of 8 and 12, which is 24.

Next we rewrite our fractions:

$-\frac{9}{24} - \frac{8}{24} = -\frac{17}{24}$

This cannot be reduced.

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4 years ago

(-2.44*10^14)(-4*10^-5) in scientific notation

kati45 [8]

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3 years ago

Which expression is equivalent to 9p+9p

mafiozo [28]

Answer:

18p? I don't know what other expressions could be equivalent. I just added 9p to 9p to get my answer.

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3 years ago

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex

melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

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The vertex is (-5, 4), so a = -1.

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3 0

3 years ago

Let P={ 1,2,3,5,7,9}, Q= { 1,2,3,4,5}, and R= {2,3,5,7,11}<br> Find P n R?

Sloan [31]

Answer:

$P \cap R=\{2,3,5,7\}$

Step-by-step explanation:

Given : Let P={ 1,2,3,5,7,9}, Q= { 1,2,3,4,5}, and R= {2,3,5,7,11}

To find : The value of $P \cap R$ ?

Solution :

The intersection of two sets is defined as the set of their common elements or the elements appear in both the sets.

The sets are P={ 1,2,3,5,7,9} and R= {2,3,5,7,11}

Common elements in P and R are {2,3,5,7}

So, $P \cap R=\{2,3,5,7\}$

Therefore, The value of $P \cap R=\{2,3,5,7\}$

8 0

3 years ago