2. Aimee lives 4/5 of a mile from the park. She has walked 2/3 of
the way to the park. How far has
Aimee walked?

of a mile

Step-by-step explanation:

To find a segment of a fraction, you must first find the LCM of each value's denominator:

LCM - Lowest Common Multiple

The lowest common multiple is the number that shows up first in each number's multiple set.

Example: LCM of 4 and 6

Multiples of 4: 4, 8, 12, 16, 20

Multiples of 6: 6, 12, 18, 24, 30

Because 12 is the first number to show up in each multiple set, 12 is the LCM.

So, to be able to solve this problem easy, do the same with 5 and 3:

5, 10, 15, 20, 25

3, 6, 9, 12, 15

Since 15 is the first number in both sets, 15 is the LCM.

The next step is to multiply by , x being the value that can be multiplied with the denominator to equal 15:

× =

To find how much of is, multiply the fractions together:

× =          

Simplify the fraction by dividing the numerator and denominator by 3.

÷ =

Because the fraction can't be simplified any further, Aimee has walked a total of of a mile.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

what graph

step-by-step explanation: