The measure of the arc of the circular basin of the fountain that will be in the photograph is; 136°
To answer this question, we need to understand the angle of intersecting secant theorem which state that;
If two lines intersect outside a circle, then the measure of the angle formed by the two lines is half of the positive difference of the measures of the intercepted arcs.
Thus;
θ = ½(x2 - x1)
Where:
Now, we are given θ = 44°
Now the measure of the arc of the circular basin will be the smaller angle x1.
Thus;
44 = ½(360 - x - x)
2 × 44 = 360 - 2x
88 = 360 - 2x
360 - 88 = 2x
2x = 272
x = 272/2
x = 136°
Read more about angle of intersecting secanttheorem at; brainly.com/question/1626547
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°
B. 2 hours
C. 3/4 hour
D. 1 1/4 hours
Taking the express bus saves 3/4 hour of travel time compared to the regular bus.
To find the travel time saved by taking the express bus, we need to subtract the travel time of the express bus from the travel time of the regular bus.
Regular bus travel time: 3 1/4 hours
Express bus travel time: 2 1/2 hours
To perform the subtraction, we need to convert both times to the same denominator:
3 1/4 = 13/4 hours
2 1/2 = 5/2 hours
Now, subtract the two times:
13/4 - 5/2 = 13/4 - 10/4 = 3/4
Therefore, taking the express bus saves 3/4 hour of travel time.
The answer is C. 3/4 hour.
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ANSWER
EXPLANATION
The parent square root function is
The translation
Will shift the graph of f(x) k units to left.
The translation
will shift the graph of f(x) to the right by k units.
Therefore if f(x) is shifted 4 units to the left its new equation is:
Shifting a function left involves adding a value to the x-component. Hence, shifting the square root parent function, F(x) = √x, to the left by 4 units results in a new function F(x) = √(x+4).
When a function is shifted horizontally, it impacts the input or the x-values. A shift to the left is represented by the addition of a value to the x-component of the function. Hence, to shift the square root parent function, F(x) = √x, to the left by 4 units, you would add 4 to 'x' in the function, which results in a new function F(x) = √(x+4). "This function represents the original square root parent function shifted 4 units to the left".
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