Well, <T+<S will equal 11x +2
so the equation will be 5x+10 + 58 = 11x +2
5x + 68 = 11x +2
66 = 6x (subtract 2, subtract 5x)
x = 11 (division)
To check,
<T = 5 (11) +10
<T = 65
11(11)+2 = 123
<T+<S = 123
65+58 = 123
Step-by-step explanation:
Find the Center and Radius (x-4)^2+y^2=4
(
x
−
4
)
2
+
y
2
=
4
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
2
h
=
4
k
=
0
The center of the circle is found at
(
h
,
k
)
.
Center:
(
4
Answer:
Step-by-step explanation:
This is classic right triangle trig. The height of the hill is 78.4 which serves as the side opposite the reference angle of 23 degrees. The side we are looking for is the hypotenuse of that triangle. The trig ratio that relates the side opposite a reference angle to the hypotenuse of the right triangle is the sin ratio. Setting it up using our values:
, where x is the unknown length of the hypotenuse. Solving for x:

Make sure your calculator is in degree mode before entering this in. You will get a length of the hypotenuse as 200.649 feet, so choice A.