Answer:
72^9^6 ÷ 8^3^4
72^3^12 ÷ 8^3^4
(9×8)^3^12 ÷ 8^3^4
9^3^12 × (8^3^12 ÷ 8^3^4)
9^3^12 × (8^3^(12-4))
9^3^12 × 8^3^8 feet
Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so
we have
substitute
solve for x
therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF
we have
so
therefore
The ratio of the area of ∆ABC to the area of ∆DEF is
Answer:
He played 7 arcade games.
Step-by-step explanation:
The amount paid in relation to the number of games played can be modeled by a linear function in the following format:
In which F is the flat rate and g is the price of each game.
Flat fee of $30 but he had to pay $2 for each arcade game he played.
This means that
So
Jason spent $44. How many arcade games did he play?
This is n for which A(n) = 44. So
He played 7 arcade games.