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MrRa [10]
1 year ago
6

Which expression is equivalent to sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12) ?

Mathematics
1 answer:
DerKrebs [107]1 year ago
3 0

Answer:

-1

Step-by-step explanation:

We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.

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Find f(-3) if f(x) = x 2.
vlabodo [156]

Answer:

f(-3) = 9

Step-by-step explanation:

Lets define f(a) first where a is any integer,

f(a) is found out by putting the integer in the function in place of the variable

So for the given question

f(x) = x^{2}

In order to find f(-3) we will put -3 in place of x

So putting -3,

f(-3) = (-3)^{2}

f(-3) = 9

So, the value of function at -3 is 9 ..

5 0
3 years ago
Read 2 more answers
2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

4 0
2 years ago
What is the factor pair of 9
den301095 [7]
1 x 9, 3 x 3, 9 x 1

1 and 9 are a factor pair of 9 since 1 x 9= 9

3 and 3 are a factor pair of 9 since 3 x 3= 9

9 and 1 are a factor pair of 9 since 9 x 1= 9

5 0
3 years ago
Read 2 more answers
What property of operations can be used to justify that the two expressions in this equation are equivalent? 6x^2 +4x=4x + 6x^2
lorasvet [3.4K]

Answer:

Commutative

Step-by-step explanation:

There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.

The expression given is : $6x^2 + 4x=4x+6x^2$

So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.

Thus the sum of the above expression will be same in which ever order the numbers are added.

8 0
2 years ago
a bakery sold 31 bagels in the first hour of business and 42 bagels in the second hour. if the baker had 246 bagels to start, ho
bogdanovich [222]

Answer:

173 bagels were left after the second hour!!

Step-by-step explanation:

7 0
2 years ago
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