A new business owner is trying to set up their first sandwich shop. They want to have a variety of options but being that it is just the start they will have to stay a bit small. They are hoping to have at least 20 different sandwich combinations. If they have 3 breads (white, wheat, Rye), 4 meats (Ham, Turkey, Bacon, Bologna), and 3 cheeses (American, Swiss, Cheddar); will this be enough different combinations? (Assume that 1 bread, 1 meat, and 1 cheese will be used on every sandwich) Name one way to show the sample space of these combinations. Display the sample space using the method you mentioned above. What is the probability that I will randomly choose a sandwich that comes with at least Rye Bread and American Cheese?

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

answer: the answer is d

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: