Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Pues no se nada alv perdon
Answer:
1 quarter pound = 0.25 of a pound.
Give that:
Total amount of ground beef = pound
From 3.5 pound of beef we have to make burgers using 0.25 pound of beef in one burger
We have to find how many burgers can be made:
We have to divide 3.5 pound by 0.25 pound
i.e,
⇒14 quarter pounds burger can be made.
Therefore, 14 quarter pound burgers can George make out of 3 1/2 pounds of ground beef
Step-by-step explanation:
9514 1404 393
Answer:
18
Step-by-step explanation:
90 = 18·5
126 = 18·7
180 = 18·10
990 = 18·55
The greatest common factor of these numbers is 18.
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<em>Comment on the GCF</em>
It can be useful to know Euclid's algorithm for finding the GCF:
- Determine the remainder from dividing the larger number by the smaller.
- If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.
For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)
Answer:
5 units
Step-by-step explanation:
If DG, EG and FG are perpendicular bisectors of the sides of triangle ABC, then point G is the circumcenter of the triangle ABC and
BG = AG = CG as radii of the circumcirle.
Consider right triangle BEG. By the Pythagorean theorem,
This gives us that
AG = BG = 5 units
