Answer:
9 sides
Step-by-step explanation:
exterior angle + interior angle = 180° , so
exterior angle + 140° = 180° ( subtract 140° from both sides )
exterior angle = 40°
The sum of the exterior angles of a polygon = 360°
Dividing sum by the measure of 1 exterior angles gives number of sides
number of sides = 
= 9
The variable x is equal to 3
I think the answer is 7.725 so sorry if I’m wrong but see if that answer is correct
Answer:
Step-by-step explanation:
Alright, lets get started.
These are mixed number given.
Suppose the complete mixed number of second place is x.
Converting mixed numbers into fractions.
Adding x in both sides
Making common denominator
In mixed number form:
So comparing with given equation, the '?' sign will be equal to 4.
Hence the answer is 4 : Answer
Hope it will help :)
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
