Answer:
<h2>17</h2>
Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
![\dfrac{1}{2}\times\underbrace{(6\times4)}_{1}+3+2\\\\=\underbrace{\dfrac{1}{2}\times24}_{2}+3+2\\\\=12+3+2=17](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%5Cunderbrace%7B%286%5Ctimes4%29%7D_%7B1%7D%2B3%2B2%5C%5C%5C%5C%3D%5Cunderbrace%7B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes24%7D_%7B2%7D%2B3%2B2%5C%5C%5C%5C%3D12%2B3%2B2%3D17)
Answer:
6![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
y + 1
= 7![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
y +
= ![\frac{47}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B47%7D%7B6%7D)
y = 40/6 = 20/3 = 6![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
<h3>Answer: C) none of the equations are identities</h3>
If you plugged theta = 0 into the first equation, then you would have
sin(45) + cos(45) = sin(0) + cos(0)
sqrt(2) = 1
which is a false equation. We don't have an identity here.
The same story happens with the second equation. Plug in theta = 0 and it becomes
cos(60) - sin(60) = cos^2(0) + tan(0)
1/2 - sqrt(3)/2 = 1 + 0
-0.37 = 1
which is false.