Answer:
Step-by-step explanation:
we are given
we can simplify left side and make it equal to right side
we can use trig identity
now, we can plug values
now, we can simplify
now, we can factor it
![\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%28sin%5E2%28a%29%2Bcos%5E2%28a%29-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can use trig identity
![\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%281-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can cancel terms
now, we can simplify it further
now, we can use trig identity
we can replace it
so,
Step-by-step explanation:
x-5 < -3
or, x < -3 +5
or, x < 2
Now,
x +8 >2
or, x >2 - 8
or, x >-6
Yes because when you subtract a number, you can also say that you added a negative. So if it dropped 23 degrees, then you also added -23 degrees
Step-by-step explanation:
$75 30% 0.70(75) = x $52.50
$18 65% 0.35(18) = x $6.30
$60 30% 0.70x = 42 $42
$35 20% 0.80x = 28 $28
$150 25% 0.75(150) = x $112.50
Answer:
I got 2 as an answer
Step-by-step explanation:
![{x}^{4} = 16 \\ \sqrt[4]{ {x}^{4} } = \sqrt[4]{16} \\ x = 2](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B4%7D%20%20%3D%2016%20%5C%5C%20%20%5Csqrt%5B4%5D%7B%20%7Bx%7D%5E%7B4%7D%20%7D%20%20%3D%20%20%5Csqrt%5B4%5D%7B16%7D%20%20%5C%5C%20x%20%3D%202)
