Answer:
a.
b.
c. See the step-by-step explanation.
Step-by-step explanation:
A table given by OP
State Year
Tennessee 2002
Tennessee 2002
Ohio 2002
Alabama 2003
Maine 2003
Florida 2004
Florida 2004
Florida 2004
Texas 2004
Texas 2004
California 2005
California 2005
Kansas 2005
a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is .
b. Analagously, the probability is , because there are 3 quarters minted in 2002.
c. See a and b.
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is time the length of any of its legs. If the hypotenuse has a measure of
, then the legs of the triangle have a measure of
.
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
(1)
Area
(2)
Where is the side length of the square.
If we know that , then the perimeter and area of the square are, respectively:
The perimeter and area of the square are 56 units and 196 square units, respectively.
