Answer:
he sum of the angles in all these triangles will be n x 180 degrees. The sum of the angles around the interior point is clearly 360 degrees, so the sum of the polygon’s angles will be (180n)-360 = (n-2) x 180 degrees.Here we have (n-2) x 180 = 2160, so n-2 = 12. So the polygon has 14 sides. 606 views
Step-by-step explanation:
The square of an odd number:
We're to conjecture, not do algebra, apparently. 1²=1, 3²=9, 5²=25, 7²=49, ...
We conjecture the square of an odd number is odd.
The product of two evens and an odd:
Again, we'll run some examples.
(2)(2)(1)=4
(2)(4)(3)=24
(4)(6)(5) =120
(4)(8)(1)=32
Conjecture: The product of two evens and an odd is a multiple of 4
Counterexample: The product of two fractions is never an integer
How about
3/4 × 4/3 = 1
First we need to find the heigh of the soda can be rearanging the volume formula,

. We can make that

We know that V is 36 and radius is half of the diameter, so radius is 2.


h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is

R is 2 again and h is 2.87


12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
Answer:
D ≈ 0.925926 g/cm³
Step-by-step explanation:
Density = Mass / Volume
Step 1: Define
M = 25 g
V = (3 cm)³ = 27 cm³
D = ?
Step 2: Substitute and Evaluate for Density
D = 25g / 27 cm³
D = 25/27 g/cm³
D ≈ 0.925926 g/cm³
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