Answer:
![(-\infty,-4]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-4%5D)
Step-by-step explanation:
So we have the inequality:
This means that our solution is all numbers <em>less than or equal to </em>-4. Therefore, in interval notation, this is:
This represents all the numbers from negative infinity up until -4. This is equivalent to the inequality.
These are right triangles that will use either sin, cos, or tan, depending upon what you have to work with in regards to the reference angle. The first one has a reference angle of 51 with y being the side opposite it and 12 being the hypotenuse. The sin identity uses the side opposite over the hypotenuse as its formula:
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
and
and
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
and
and
with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
Answer: x=6 y=6
Step-by-step explanation:
Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:
Divide both parts of the equation by 2:
Answer:
x<-1
Step-by-step explanation:
2(x+6)<10
Distribute 2x+12<10
Subtract 12 2x<-2
Divide 2 x<-1
The answer is 7
Step by step 5 apples and 2 oranges
