Step-by-step explanation:
circumference of a circle
2×pi×r
area of a circle
pi×r²
r (radius) = diameter/2 = 1.5ft
we shall assume pi to be 3.14
circumference is
2×3.14×1.5 = 3.14×3 = 9.42 ft
area is
3.14 × 1.5² = 3.14×2.25 = 7.065 ft²
This is a common factor problem.
Pencils come in a pack of 12
Erasers come in a pack of 10
First, break the number into their prime factors(the idea is that we will break the number down into its smallest multiples, which are prime numbers):
10 = 2 * 5
12 = 2 * 2 *3
So now we take the unique multiples of each number, and when we multiply them together, we will get the smallest number that both 10 and 12 can be divided into(this is what the problem is asking for)
We have (2*2*3) that comes from 12, and the only unique number that comes from the 10 is (5)
So now, we multiply:
2*2*3*5=60
However, this isn't exactly out answer. Now we have to divide our answer by the number of each this in the pack to know how many packs to buy.
60/12=5 packs of pencils
60/10= 6 packs of erasers
I hope this helps. Let me know if you have any questions!!
Answer:
80
Step-by-step explanation:
The trick is to pick something that should be very easy to get an answer to. If you use a calculator, you are not estimating. 80 divide by 4 is like 8 divide by 4 which gives you 2. Then just add a zero. Here's another one you can try. Put your calculator away to do it. 12 chicken noodle soup cans cost 14 dollars. About how much does 1 can cost
no cheating. No calculator. Is the cost of 1 can more or less than a dollar? If you said more, you've estimated correctly.
Try it the other way. Suppose one can of the soup costs 0.95 cents. How many will 12 cans cost? More or less than 12 dollars.
If you said less, you are estimating correctly. The most useful gift you can take away from any math class is estimation.
The last one HOPE THIS HELPS!!!!
Using the shell method, the volume is
Each cylindrical shell has radius 
(the horizontal distance from the axis of revolution to the curve 
); has height 
(the vertical distance between a point on the 
-axis in 
and the curve ).
Compute the integral.
