Solve the inequality + 6 > -3.
2 answers:
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Answer:
First option:
Step-by-step explanation:
<h3> The complete exercise is: "The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches
You have the following function provided in the exercise:
You know that represents the height of the hill (in inches) and "x" represents the distance from the left side of the painting (in inches)
Knowing that you can determine that, if the painting 3 inches from the left side of the picture, the value of "x" is the following:
Therefore, you need to find the value of when
in order to solve this exercise.
So, the next step is to substitute into the function:
And finally, you must evaluate in order to find .
You get that this is:
Here a right angled triangle given. one angle with measure given. The three sides of the triangle given 4, x, y.
We have to find, the sides which is opposite, adjacent and hypotenuse here.
We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.
The side adjacent to the given angle is x. So, here adjacent = x.
The opposite side is opposite to the given angle. So, opposite = 4.
Now we will use SOHCAHTOA that is , where x is the angle given.
To get x, we will use tan. So we will get,
We know the value of . By substituting the value we will get,
To find x, we have to move x here to the left side by multiplying it to both sides. We will get,
So we have got the value of x here.
Now to find y, we will use the trigonometric function sine.
we know the value of
By substituting the value we will get,
By cross multiplying we will get,
We will get y by dividing both sides by , we will get,
Now we will rationalize the denominator by multiplying to the top and bottom.
So we have got the required values of x and y.