Answer:
There are 495 different ways to choose 4 pizza toppings from 12.
Step-by-step explanation:
12!/8!4! = 12*11*10*9/(4*3*2) = 11*9*5 = 495
Area of a circle= πr²
Data:
diameter=11 in
ratius=diameter/2=11 in/2=5.5 in
Area of this circular plate=π(5.5 in)²=30.25π in²=30.25 * 3.141592... in²≈
≈95.0 in².
answer : c 95.0 in²
Answer:
C
Step-by-step explanation:
10^5=100,000
100,000*4.7=470,000 (Four Hundred Seventy Thousand)
10^8=100000000
100000000*3.9=390,000,000 (Three Hundred Ninty Million)
10^5=100,000
100,000*5.2=520,000 (Five Hundred Two Thousand)
Least to Greatest:
470,000 520,000 390,000,000
I III II
C
Answer:
side length of the square = 10 cm
Explanation:The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm
This means that the length of the side of the square is also 10 cm
Hope this helps :)
Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:
r sin theta = y
r cos theta = x
x2 + y2 = r2
we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.
in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8
in order to make use of the equations above, then
we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y