The measure of a central angle in degrees is 11.25°.
<h3>How to get the values?</h3>
The name of the Ferris wheel is London eye
The diameter of the wheel (in meters) is 394
The number of cars or compartments 32
The circumference of the wheel (in meters) 394*pi=1237.78
The area of the wheel (in meters)394/2=197 a=pi*197^2=618.58
The measure of a central angle in degrees will be:
= 360°/Number of the compartment
= 360°/32
= 11.25°
The measure of a central angle in radians will be:
= 2π/Number of compartment
= 2π/32
= π/16 radians
The arc length between two cars or compartments will be:
= π/16 × (394/2)
= π/16 × 197
= 197π/16
= 38.69m
The area of a sector between two cars or compartments will be:
= central angle/360° × π × radius ²
= 11.25/360 × 3.142 × (394/2)²
= 3810.56m²
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For one block every minute, it should be 24 minutes and for 2 blocks per minute, it should be 12 minutes.
Choice D X intercept = Y intercept
Answer:
19.8
Step-by-step explanation:
You have to first put the numbers into ascending order:
8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.
Because there is an even amount of numbers, you end up with 19.6 and 20.
The in between of 19.6 and 20 is 19.8.
(You can work this out by adding the two numbers together and then dividing by two if you have to.)
The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.
-(-3)/2(1)
3/2
1.5
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 3x + 4
1.5^2 - 3(1.5) + 4
2.25 - 4.5 + 4
1.75
Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.