<h3>
Answer:</h3>
4, 8, 8
<h3>
Step-by-step explanation:</h3>
At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides). Hence the tiling can be named with three numbers: 4, 8, 8.
Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
<u><em>Step(ii):-</em></u>
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.
μ =2000, σ =100
We have to find z score for income $2100 i.e x=2100
Z = 
= 
Z = 100/100
Z = 1
The z score for income $2100 is 1
two angles are coterminal, namely land on the same spot on the circle.
let's check.
let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.
1965 ÷ 360, gives us a quotient of 5 with some remainder.
5 * 360 = 1800, 5 full circles
if we subtract the full circles from 1965
1965 - 1800 = 165
low and behold, the remainder from that division is 165° ✔
in other words, 1965°, goes around the circle 5 times and then lands 165° after all that, in the same spot as 165°.
Answer:
It would be 31 1/4
Step-by-step explanation:
Since the area is already determined, 6 1/4, you just need to multiply it to the height (5) which is 31 1/4