Answer:
1767 cm³
Step-by-step explanation:
We can use volume V = 4/3 π r³
We have diameter of 15 cm. To get radius, we need to divide diameter by 2.
r = 7.5 cm
So now plug in r = 7.5 then calculate V:
V = 4/3 π ( 7.5 )³
V = 4/3 π * 421.875 ≈ 1767.145 ≈ 1767
Hope this helps.
Answer:
Explanation:
Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.
- The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5
- The side number two can be colored with four different colors: 4
- The side number three can be colored with three different colors: 3
- The side number four can be colored with two different colors: 2
- The side number five can be colored with the only color left: 1
- Each of the sides six through ten can be colored with one color, the same as its opposite side: 1
Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:
- 5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.
Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.
Answer:
7.4. I BELIEVE...sorry if i did it wrong
Step-by-step explanation:
1 2/3 + 1 2/3 = 3.33333333
2 + 2 = 4
3.333333 + 4 = 7.333333
7.333333 rounded would be 7.4
Answer:
4x - 3y = 2
Step-by-step explanation:
First, let's review what "standard form" signifies: Ax + By = C.
Starting with y = 4/3 * x - 2/3, multiply all three terms by 3 to eliminate the fractions:
3y = 4x - 2
Next, subtract 3y from both sides:
0 = 4x - 3y - 2.
It would be nice (tho' not essential) to have the coefficient of x positive. That is why I've left 4x on the right side and subtracted 3y from both sides.
finally, add 2 to both sides, obtaining 4x - 3y = 2. This is the equation in standard form.
4000 ........................................
