Answer:
Step-by-step explanation:
The two-way frequency table is attached below.
We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e 
This is a conditional probability.
We know that,
So,
From the table,
Putting the values,
The area of only one base was added. The first term should have a factor of 2.
You need to do this in several steps.
1) Using the given length and width of the rectangle, find its area.
2) Then using the base and height of the triangle, find its area.
3) Since the areas are equal, set the expressions equal to each other, and solve for x.
4) Using the value of x you found, find the length and width of the rectangle and find its perimeter.
1) The area of the rectangle is A = LW
Area of Rectangle = (x + 2)x = x^2 + 2x
2) The area of the triangle is A = (1/2)bh
Area of Triangle = (1/2)(24)x = 12x
3) Set the areas equal and solve for x
x^2 + 2x = 12x
x^2 - 10x = 0
x(x - 10) = 0
x = 0 or x = 10
Since a width cannot be 0, we discard x = 0, and keep x = 10.
4) The length is x + 2 = 10 + 2 = 12
The width is x = 10
The perimeter is 2(L + W) = 2(10 + 2) = 2(22) = 44
The perimeter is 44 cm.
B!
the golden ratio is where the long side can be split into two pieces and both can still be longer than the short side of the rectangle
A. 34x2=68 which is higher than 55 so it couldn’t split into two bigger halves
B. 20x2=40 which is smaller than 45 so it could split into two bigger halves (this one does fit the golden ratio btw)
C. 18x2=36 which is bigger than 34 and couldn’t split into two larger halves
A) n + d = 20
B) .05n + .10d = 1.40 Multiplying A) by -.10
A) -.1n -.1d = -2 Then adding it to B
B) .05n + .10d = 1.40
-.05n = -.60
n = 12 nickels
d = 8 dimes
