Hi there! The answer is x = -1
Let's solve this equation step by step!
First collect terms.
Subtract (1/2)x from both sides.
Subtract 3 from both sides.
And finally divide by -1 3/4
Answer:
3:1
Step-by-step explanation:
If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.
Answer:
(A).
Step-by-step explanation:
-8+3= -5 -8-(-3)= -5
-5= -5
Hope this helps.
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Answer:
Gail is correct and Brianne is incorrect.
Step-by-step explanation:
If there are 5 different shaped erasers and 8 of each, you would have to multiply 
which equals 40. If there are 4 people in the group, 40 divided by 10 equals 4.
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
