MATHEMATICS MIDDLE SCHOOL

Which expression is equivalent to sin7pi/6?A. sinpi/6
B. sin5pi/6
C. sin5pi/3
D. sin11pi/6

Answers

Answer 1
Answer:

For this case we must find an expression equivalent to:

Sin (\frac {7 \pi} {6})

According to the unit circle, \frac {7 \pi} {6} is in the third quadrant and equals 210 degrees.

Then, we must find an expression equivalent to:

Sin (210) = - \frac {1} {2} = - 0.5

We have to:

\frac{11 \pi} {6}

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

Sin (330) = - \frac {1} {2} = - 0.5

Answer:

Option D
Answer 2
Answer:

The answer choice is D because sin7pi/6 which it’s exact form is -1/2 the only answer choice which the same exact form is D.

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The simplified answer

Answers


- (4)/(5) - (7)/(8) = \n ( - 32)/(40) + ( - 35)/(40 ) = \n - (67)/(40)
Hope this helps don’t be intimidated by large numbers follow the same steps you would when you are using smaller numbers good luck

If you answer ALL questions listed, you get a good amount of points (3 questions, 5 points each, 15 points total) :D



1) Which pair are solutions to the equation?

4xy + 8 = 36

A.
(7, 1) and (3, 2)

B.
(1, 7) and (7, 1)

C.
(1, 7) and (4, 9)

D.
(4, 9) and (3, 2)

2)
Which of the ordered pairs in the form (x, y) is a solution of this equation?

5x - y over 3 = 13,
(2, -9) (3, -6)

A.
The first is not a solution, but the second is.

B.

Both are solutions.

C.

The first is a solution, but the second is not.

D.

Neither is a solution.

3)
Which ordered pairs in the form (x, y) are solutions to the equation

7x – 5y = 28?



Choose all answers that are correct.

A.

(−6, −14)

B.

(−1, −7)

C.

(4, 10)

D.

(7, 9

Answers

1)

4xy+8=36\n4xy=28\nxy=7

We know that each coordinate (x,y) must therefore multiply to equal 7. The only numbers that multiply to 7 are 7 and 1, so B) is the correct answer.



2)

For this one, just plug in the coordinates they give you for x and y and see if either one works:

5x-(y)/(3)=13\ \ \ \ \ \ \ (2,-9)\n5(2)-((-9))/(3)=13\n10-(-3)=13\n13=13

So the first one is a solution. Now plug in the second one:

5x-(y)/(3)=13\ \ \ \ \ \ (3,-6)\n5(3)-((-6))/(3)=13\n15-(-2)=13\n17=13

Therefore, the first is a solution and the second isn't making C) the correct answer.



3)

For this one, just plug in the ordered pairs they give you and see which ones end up working:

7x-5y=28\n\nA. (-6,-14)\n7(-6)-5(-14)=28\n-42+70=28\n28=28\n\nB.(-1,-7)\n7(-1)-5(-7)=28\n-7+35=28\n28=28\n\nC.(4,10)\n7(4)-5(10)=28\n28-50=28\n-22=28\n\nD.(7,9)\n7(7)-5(9)=28\n49-45=28\n4=28

A) and B) are the only ones that work out, so those are the correct answers.

1.  4xy+8=36

   4xy=28

   xy=7


2. 5(2)-(-9)/3=13

    10-(-3)=13

     13=13

     5(3)-(-6)/3=13

     15-(-2)=13

     17≠13


3. 7(-6)-5(-14)=28

   -42+70=28

     28=28


    7(-1)-5(-7)=28

    -7+35=28

      28=28

     

   7(4)-5(19)=28

   28-50=28

    -22≠28


  7(7)-5(9)=28

  49-45=28

    4≠28

Hope this helps... :)

Is 70% of 80 the same as 80% of 70

Answers

yes because 70*.8=56 and 80*.7=56

No, because 80 and 70 are different numbers so there is going to be a different answer.

there are 798 calories in six 10-ounce bottles of apple juice. How many calories are there in one 10-ounce bottle of apple juice

Answers

133 calories in one 10- ounce bottle of apple juice
You would have to divide the calories by 6

Simplify. 10/27 divided by 5/9​

Answers

Answer:

2/3

Step-by-step explanation:

According to the question,10/27÷5/9

So we will have to be careful when solving this kind of question

So let's solve

10/27÷5/9

To solve we will have to convert the division to multiplication and during this process the 5/9 will actually change to 9/5

10/27×9/5

If you calculate it well,you will get

2/3

Which means that the final answer is 2/3 since it cannot be solved further

So 10/27÷5/9 gives 2/3

Answer:

2/3   or 0.6

Step-by-step explanation:

PLEASE HELP ME!!!!A box of National brand cornflakes is $2.09 for 12 ounces. A box of store label cornflakes is $3.09 for 20 ounces. Find the unit price for each. Assuming both brands taste equally good, which is the better buy, and why? ___________ is the better buy.

Answers

I don't have the answer but all you need to do is divide $3.09 by 20 and $2.09 by 12 and see which is less
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