#8).
The volume of a cone is (1/3) (pi) (radius of the round end)² (height)
That's the volume of the ice cream cone alone.
The volume of a sphere is (4/3) (pi) (radius)³
The glob of ice cream on top is 1/2 of a sphere.
The sphere and the cone in this problem both have the same radius.
#9).
The volume of a cylinder is (pi) (radius of the round end)² (height)
#10).
Another cylinder !
The volume of a cylinder is (pi) (radius of the round end)² (height)
Answer:
a) 21
Step-by-step explanation:
If the columns are labeled a, b, c, d left to right, it appears that we have ...
The value of M is 21.
_____
Questions like this require that you try different combinations of operations on the numbers shown to see if you can find a relationship. Here, the left column is a perfect square, so that is a clue. The difference of the numbers in the middle columns is a factor of the number in the right column -- another clue. It takes a certain amount of creative thought and familiarity with arithmetic facts. There is no "step-by-step" for a problem like this.
Answer:
D
Step-by-step explanation:
The answer is point D(-2,1).
1. If the point D was moved down 2 units, then its coordinates became (-2,-1).
2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).
3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).
4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).
To find c, you must isolate it.
To do this, you must divide both sides by 5/7, since that is being multiplied by c and you must do the inverse to it to cancel it out in order to leave c by itself.
5/7c ÷ 5/7 = c
13/14 ÷ 5/7
To divide fractions, follow these steps:
Step 1- Turn the second fraction, 5/7 in this case, into its reciprocal. This means swapping the places of the numerator and denominator.
5/7 reciprocal = 7/5
Step 2- multiply the original first fraction and reciprocal second fraction.
13/14 • 7/5
13 • 7 = 91
14 • 5 = 70
13/14 ÷ 5/7 = 91/70
Step 3- Simplify if possible.
91/70
Since 70 can go into 90, you can turn this into a mixed number.
1 and 21/70
Now simplify 21/70.
Both can be divided by 7.
21 ÷ 7 = 3
70 ÷ 7 = 10
So simplified, 91/70 equals 1 and 3/10.
As a decimal, this is 1.3.
So the answer is c = 1.3, or 1 and 3/10.
Hope this helps :)
