Answer:
There are 31 polygons in total used to make the tessellation and the ones that make number 17 up are:
Pentagons, triangles, and hexagons.
The ones that make up number 18 are:
Pentagons, squares, and triangles.
Step-by-step explanation:
Answer:
24.00
Step-by-step explanation:
hope this helps
Answer:
To solve this problem, we need to use the following two facts:
1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.
2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.
Since we know that 1 - √2 is a root of the quadratic equation, we can let:
r = 1 + √2
and
s = 1 - √2
Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.
Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.
Answer: D
Step-by-step explanation:
Answer:
The future value is $3793.776
Step-by-step explanation:
Given
--- present value
--- rate
--- time
--- quarterly
Required
Determine the future value
This is calculated using:
So, we have: