Question

question 11
the local ice cream shop offers 3 different types of cones and 14 different flavors of ice cream. how many possible ice cream cones (one scoop) can a customer order?
a 42
b 17
c 40
d 36
e i have not learned this yet.

question 12
when you dilate a figure it is always
a congruent
b similar
c enlarged
d reduced
e i have not learned this yet.

Explanation:

Question 11

Step1: Identify the principle

We use the multiplication principle for counting. For each type of cone, there are 14 flavor options.

Step2: Calculate the total number

Number of cone types = 3, number of flavors = 14. Total combinations = \( 3\times14 \)
\( 3\times14 = 42 \)

Dilation is a transformation that changes the size of a figure but not its shape. Similar figures have the same shape (corresponding angles equal, corresponding sides in proportion). When dilating, the original and dilated figure are similar. Congruent means same shape and size (dilation can change size, so not always congruent). Dilation can enlarge or reduce, so not always enlarged or reduced.

Answer:

a. 42

Question 12