Remark
Average Speed = Total distance divided by total time.
Total Time
2 hours + 3 hours = 5 hours. The total time is 5 hours.
Total Distance
d = rate * time
d1 = 40 km/hour * 2 hours = 80 km
d2 = 50 km/hour * 3 hours = 150 km
d = d1 + d2
d = 80 + 150 = 230 km
Average Speed
Av = Total distance / Total Time = 230 / 5 = 46 km/hr
the approximate radius of the circle in feet?
The approximate radius of the circle in feet is 14.5
Solution:
Given, a tile artist is placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet,
We have to find what is the approximate radius of the circle in feet?
The area of a circle is found with the formula
where "y" represents 3.14 and r is radius. So now, according to given information,
Hence, the radius of the given circle is 14.5 feet approximately
The vertices of the image reflected across the x-axis are P'(-8,-1), Q'(-6,-8), and R'(4,3).
A point on a polygon where the sides or edges of the object meet or where two rays or line segments meet are called vertices.
The given vertices are P(-8, 1), Q(-6, 8), and R(4, -3).
To reflect the points across the x-axis, the x variable would stay the same while the y variable becomes the opposite.
So, the given vertices changed like:
P(-8,1) will become P'(-8,-1)
Q(-6,8)will become Q'(-6,-8)
R(4,-3) will become R'(4,3)
Hence, we can say that P'(-8,-1), Q'(-6,-8), and R'(4,3) are the vertices of the image reflected across the x-axis.
To learn more about vertices, use the link given below:
#SPJ5
Answer:
P'(-8,-1)
?'(-6,-8)
R'(4,3)
Step-by-step explanation:
If you were to reflect the points across the x-axis, then the rule here would be that the x variable would stay the same while the y variable becomes the opposite.
So,
P(-8,1) = P'(-8,-1)
?(-6,8) = ?'(-6,-8)
R(4,-3) = R'(4,3)