Answer:
The skaters will collide at the points;
(2,28) and (4,24)
Step-by-step explanation:
The points they might collide will be the points when both y are equal;
-2x + 32 = -2x^2 + 18x
2x^2 -18x -2x + 32 = 0
2x^2 -20x + 32 = 0
2x^2 - 16x - 4x + 32 = 0
2x(x -8) -4( x -8) = 0
(2x -4)(x -8) = 0
2x = 4 or x = 8
x = 4/2 or x = 8
hence; x = 2 or 8
Now let’s get the y value
at x = 2, just substitute into any of the 2
y = -2x + 32
y = -2(2) + 32
y = -4 + 32 = 28
at x = 4
y = -2(4) + 32
y = -8 + 32
y = 24
The points that they will collide are;
(2,28) and (4,24)
Area of a circle is πr^2.
The radius of the smaller circle with diameter 10 cm is 5 cm.
The radius of the larger circle with diameter 20 cm.is 10 cm.
Area of larger circle : Area of smaller circle
Area of larger circle = 100π.
Area of smaller circle = 25π.
Ratio = 100π : 25π or 100π/25π.
76,500,000 in scientific notation is: 7.65x10^7
I believe you moved the decimal to the right 2 times.
Hope this helped :)
Have a great day
Answer:
30 cubic feet
Step-by-step explanation:
Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.
For that we need to use the theorem which says that
the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.
Volume of Rectangular prism = 
* Volume of rectangular pyramid
= * 90
= 30
