Answer:
The measure of the arc of the circular basin = 136°
Step-by-step explanation:
The measure of an angle formed when two line intercepts outside a circle is half the difference of the measure of the intercepted arcs.
Mathematically, the is represented as:
Measure of an angle = 1/2(big angle - Small angle)
This values are given in the question
Measure of an angle = Measure of angle formed by tangents to the fountain = 44°
big angle is represented by = 360°-x
small angle is represented by = x
Therefore, we have
44° = 1/2( 360° - x -x)
44° = 1/2(360° - 2x)
Cross multiply
44° × 2 = 360° - 2x
88° = 360° - 2x
88° - 360° = - 2x
-272° = -2x
x = -272/-2
x = 136°
The measure of the arc of the circular basin = 136°
The expression that represents the distance between -3 and 5 on the number line is “-3-5”.
G(x) = 4x^2 + 24x + 30
g(x) = 4(x+3)^2 - 6
answer is <span> B. The graph of f(x) = x^2 is shifted left 3 units.
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hope it helps

Let's see what's the domain and range for the given function ~
![\qquad \tt \dashrightarrow \:domain \in [ -5 , 4 ]](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3Adomain%20%5Cin%20%5B%20-5%20%2C%204%20%5D%20)
or

Because domain = all values of x between its maximum (4) and minimum (-5) value [ including them ]
![\qquad \tt \dashrightarrow \:range \in[ -4 , 9 ]](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Cdashrightarrow%20%5C%3Arange%20%5Cin%5B%20-4%20%2C%209%20%5D)
or

Because range = all values of y between its maximum (9) and minimum (-4) value [ including them ]