If the arc is 60, the inscribed angle is 1/2 (60) = 30
If the arc is 70, the inscribed angle is 1/2 (70) = 35
the triangle is 30+35 +x=180
65+x =180
subtract 65 from each side
x=115
Answer:
Yes they are like terms.
Step-by-step explanation:
As like terms are those who has same variables or powers.Here,we have same variables for both the terms and both have the power 1.
hope it helps!
Answer:
The maximum value is 3.
Step-by-step explanation:
The given trigonometric function is

The amplitude of this function is 5.


The function is shifted vertically down by two units.
To find the maximum value, we add -2 to the upper boundary of A.
The maximum values is 5-2=3
Step-by-step explanation:

To leave answer in positive exponents, just leave the answer inverse of the negative exponents.
Answer:
Distance between cars rounded to the nearest foot is : 1903 ft
Step-by-step explanation:
Notice that two right triangles can be used to represent the diagram of this situation. One between the car whose angle of depression is
, and the other with the car with angle of depression
(see attached image)
Each triangle in the attached image is depicted with a different color. and as one can see, the distance between both cars is the addition of the side "x" in one triangle, to the side "y" in the other.
Notice as well that the information known for both right-angle triangles is one acute angle, and the side opposite to it. And what one needs to find is the side adjacent to this acute angle. Then, the function to use in both triangles, is the tangent:
a) For the
[orange] triangle :

b) For the
[green] triangle:

Therefore the total distance between cars is:
1081.42 ft + 821.19 ft = 1902.61 ft
which to the nearest foot can be rounded as: 1903 ft