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)
If its perimeter, it should be quite easy to find. Just add 12+9+15. Which equals 36. So the perimeter is 36 inches. -Hope it helps!
Here, we are required to identify the dependent and independent variables, the dependency relationship in the situation.
- The independent and dependent variables are the weight of the dog and the amount of food it should respectively.
- The dependency relationship is thus; The amount of food a dog should eat is a function of the weight of the dog
- The dependency relationship using the function notation is; f(x) = {function of x}.
- The independent variable in this situation is the weight of the dog while the amount of food the dog should eat is the dependent variable. The above is evident from the statement; <em>T</em><em>he amount of food a dog should eat depends on the weight of the </em><em>dog</em><em>.</em>
- <em>According</em><em> </em><em>to </em><em>the </em><em>premise</em><em> </em><em>given </em><em>in </em><em>the </em>question, it is evident that the dependency relationship is;. The amount of food a dog should eat is a function of the weight of the dog
- The dependency relationship can be written mathematically using the function notation as;. f(x) = {function of x}.
Read more:
brainly.com/question/11239214
Total number of marbles:
75 + 50 + 100 + 25 =
250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to
1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to
1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to
7/10.
To find the probability that each event occurs in order, simply multiply them all together.
