Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius =
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle =
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle =
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.
Consecutive means in order, so like 1,2,3,4... or 14,15,16,17...
consecutive even means 2,4,6,...
now, first you define some variables
let "a1" be the first positive even integer
well, you could define a2,a3,and a4 to be the next consecutive even integers but you actually dont need to
because the next consecutive even integer is
a1+2
the 3rd is
a1+2+2
and the 4th is
a1+2+2+2=a1+6
now, looking at the problem it states the "third" times the "fourth" is equal to 21 times the "first"
putting it into equation form
(a1+4)* (a1+6)= 21*a1
solve for a1, and then it should be easy to determine the rest of the positive consecutive even integers
Answer:
Step-by-step explanation:
Answer:
Approximately 809 cubes will be made
Step-by-step explanation:
To calculate the number if cubes to be made, we shall need to calculate the volume of both shapes
The volume of the cubes can be calculated using the formula L^3 = 3 * 3 * 3 = 27 cm^3
For the cylinder, the formula of the volume to use is
V = π * r^2 * h
The radius here is 10.5 cm and the height is 63 cm
V = 22/7 * 10.5^2 * 63 = 21,829.5 cm^3
The number of cubes that can be made is calculated by dividing the volume of the cylinder by that of the cube
That is 21,829.5/27 = 808.5 which is 809 to the nearest whole number