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)
Answer:
F=−4c 2 +7c+5
Step-by-step explanation:
Answer:
$57
Step-by-step explanation:
Given that:
Earnings per hour for washing cars = $9
Earnings per hour for walking dogs = $6
Number of hours for which car washing is done = 
Number of hours taken for walking dogs = 
Earnings for hours for washing cars = Per hour earnings multiplied by number of hours = $9
Earnings for hours for walking dogs = Per hour earnings multiplied by number of hours = $6
Total earnings by both = $()
Now, given that
Number of hours spent washing cars = 5 hours
Number of hours spent walking dogs = 2 hours
Therefore, total earnings by both = 9 
5 + 6 2 = <em>$57</em>
Answer: 
Step-by-step explanation:
Given
The theoretical probability of choosing an event A is 
The sum of the probability of occuring and non-occuring of an event is always equal to 1.
So, the probability of non choosing Event A is
Answer:
Step-by-step explanation:
A = 8 cm
B = 5 cm
C = 22 - 8 - 5 = 9 cm
Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.
8^2 + 5^2 = 9^2
64 + 25 = 81
89 = 81
89 does not equal 81, so this is not a right triangle.
