Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
The like terms are 12 and 5, so you have to subtract 5 from both sides.
12 < x + 5
-5. -5
7 < x
We can just switch it around so x is in the left side.
x > 7
X would equal 8
Step-by-step explanation:
5-3(8) = -19
5 multiplied by negative 3 times 8 equals negative 19
negative 3 times 8 equals negative 24 plus 5 equals 19
Answer:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
Step-by-step explanation:
Given the rational expression

Let us first simplify before making our deductions.
Opening the brackets

Taking LCM

Opening the brackets and simplifying

The following statements are therefore true:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.