Answer:
27/45=3/5
2/6=1/3
Step-by-step explanation:
Answer:To determine the area of a regular hexagon, we need to use the formula:
Area = (3√3 * s^2) / 2
Where:
- s represents the length of one side of the hexagon.
In the given question, the side length of the regular hexagon is not provided. Therefore, we cannot calculate the exact area without that information.
However, if we assume the side length is 7.79 meters, we can substitute it into the formula to find the area:
Area = (3√3 * (7.79)^2) / 2
Area = (3√3 * 60.6641) / 2
Area ≈ 104.434 square meters (rounded to three decimal places).
Again, please note that this answer assumes the side length of the hexagon is 7.79 meters. If the actual side length is different, the area will also be different.
Step-by-step explanation:sorry for this guys meanness he did it to me to
Point C's reflection across the x-axis yields coordinates (5, -7). The x-coordinate remains unchanged, while the y-coordinate changes sign, showcasing a fundamental concept in coordinate geometry.
This reflection can be understood as a transformation in which each point on the original figure is flipped over the x-axis to its corresponding point on the reflected figure.
The x-coordinate remains the same because it measures the horizontal distance from the y-axis, which does not change during a reflection across the x-axis. However, the y-coordinate changes sign, as it represents the vertical distance above or below the x-axis.
In summary, to find the coordinates of the reflected point, we change the sign of the y-coordinate of the original point while keeping the x-coordinate unchanged. Thus, the reflected coordinates of point C across the x-axis are (5, -7).
b. 3.2 rad/s
c. 52 rad/s
d. 81 rad/s
Answer:
c. 52 rad/s
Step-by-step explanation:
Final question does not correspond with available option. The real question is: What is the angular speed in radians per second?
At first we assume that spin balance rotates at constant rate and convert given angular speed, measured in revolutions per minute, into radians per second:
Which corresponds to option C.
The wheel rotates at an angular speed of 52 rad/s and the equivalent road speed is about 39 mph.
To solve this, we need to consider the given spin speed which is 500 revolutions per minute and convert this to rev per second by dividing by 60.
This is because a minute has 60 seconds.
Hence, the wheel rotates at 500/60 = 8.33 rev/s.
Furthermore, we need to know that in physics, one full revolution equals 2π radians (this is the equivalent of going around a circle once).
So, to convert from revolution to radian, we multiply by 2π, so the wheels is spinning at 8.33 * 2π ≈ 52.36 rad/s, which most closely matches option c. 52 rad/s.
Lastly, the linear (or road) speed can be calculated by multiplying the Angular momentum by the radius of the wheel (which is half the diameter), so v = (52.36 rad/s) * (13 in) = 680.68 in/s.
To convert it to mph, note that 1 inch/s = 0.057 mph, hence the wheel is spinning at about 39 mph.
Learn more about Angular momentum here:
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y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
(2, 5)
(5, 2)
(2, 3)
(3, 2)
Answer:
I am positive the answer is C: (2, 3)
Step-by-step explanation: