A function is where each input (x) has only 1 output (y). Since no x values have more than one y value, this is a function (answer A)
Answer:
128/17 simplified is 7 9/17
128/17 rounded is 128
Answer:
The angle is .
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ =
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ =
Sin θ = 0.0875
θ = 0.0875
=
The angle made by the rope with respect to the ground is approximately .
Part 1) The equation of a circle is (x+4)²+(y−5)²<span>=121.
What is the center and radius of the circle?
we know that
the equation of a circle is of the form
(x-h)</span>²+(y-k)²=r²
in the problem
(x+4)²+(y−5)²=121.------> (x+4)²+(y−5)²=11²
the center (h,k) is the point (-4,5) and the radius is 11
Part 2) we have that
(x+15)²+(y−12)²=25-------> (x+15)²+(y−12)²=5²
we know that
<span>the greatest distance, in feet, a person could be from the lamp and be detected is the radius
</span>
the radius is equal to 5 ft
the answer Part 2) is 5 ft
Part 3) we have that
(x−9)²+(y+11)²=16--------> (x−9)²+(y+11)²=4²
the radius is equal to 4 m
so the diameter is ------> 4*2-----> 8 m
the answer Part 3) is
8 m