Answer:
103= p small
plarge = 123
Step-by-step explanation:
We know that the the ratio of the areas is the scale factor squared/
Larger triangle over smaller triangle
72
----- = scale factor ^2
50
simplify by dividing by 2 on top and bottom
36
----- = scale factor ^2
25
Take the square root of each side
sqrt(36)
-------------- = sqrt(scale factor ^2)
sqrt(25)
6
-------------- = scale factor
5
The ratio of the perimeters is the scale factor
p large 6
-------------- = ----------------
p small 5
Using cross products
6 p large = 5 p small
We know the sum is 226
p large + p small = 226
p large = 226 - p small
We have 2 equation and 2 unknowns
6 p large = 5 p small
Substitute for p large
6 (226 - p small) = 5 p small
1356 - 6 p small = 5 p small
Add 6 p small to each side
1356 = 11 p small
divide by 11
1356/11 = p small
P large = 226-1356/11
p large = 2486/11-1356/11
plarge = 1130/11
The solution requires whole number answers so
1356/11 = p small
123.27 which rounds to 123
plarge = 1130/11
plarge = 102.7272 = 103
I think the answer is D. The U.S. passed laws protecting the beaver.
9/24
28/24
If you need an explanation just ask
Answer:
14.91288 miles
Step-by-step explanation:
We can use a proportion to solve this problem. Put the distance over the cost. We want our answer in miles so we need to convert 8 kilometers to miles. 1 km = .621371 miles
8 km * .621371 miles/ 1 km = 4.971 miles
4 .971 miles x miles
--------------------- = ------------------
10 dollars 30 dollars
Using cross products
4.971 * 30 = 10x
149.1288= 10 x
Divide by 10 on each side
149.1288/10= 10/10 x
14.91288 =x
