Answer:
(3, 4 )
Step-by-step explanation:
5x + 3y = 27 → (1)
2x + y = 10 ( subtract 2x from both sides )
y = 10 - 2x → (2)
substitute y = 10 - 2x into (1)
5x + 3(10 - 2x) = 27
5x + 30 - 6x = 27
- x + 30 = 27 ( subtract 30 from both sides )
- x = - 3 ( multiply both sides by - 1 )
x = 3
substitute x = 3 into (2)
y = 10 - 2(3) = 10 - 6 = 4
solution is (3, 4 )
Answer:
3142.86 cubic cm
Step-by-step explanation:
volume of cone is given by formula
volume of cone = 1/3(area of base*height)
Given radius of base = 10cm
we know area of circle is given by 
where r is radius of circle
thus area of base of cone is calculated below
area of base of cone is 314.2857 square cm
height = 30 cm
Thus volume of cone = 1/3* (area of base*height)
= 1/3(314.2857*30)
= 1/3 *9428.571 = 3142.857.
Thus, volume of cone is 3142.857 cubic cm.
volume of cone to the nearest hundredth is 3142.86 cubic cm
Use desmos lol it’s a graphing calculator app
Answer:
5.264 * 10^4
Step-by-step explanation:
We put a decimal point to the right of the number, so
52640.
Then we move it to the left until we get a number that is between 1 and 10.
5.2640
This was four hops to the left.
We can remove the trailing 0, and write
5.264 * 10^4
10^4 because of the four hops
