Answer:
To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Because this is a 45 angle triangle we can assume the other side is also a 45 angle. Which means that CD=AD.

2(10.7r - 9.5) = 33.8
10.7r
this means the number is times a variable.
10.7r - 9.5 = 1.2r
2 x 1.2r = 33.8, so we need to find the value of the variable for 1.2r
the variable that makes sense to me would be approx.14.085, so 1.2r x 2 = approximately 33.8 if you round 14.085 to the nearest tenth.
so I would say it is 14.1. hope I helped you :)
Answer:
10cm
Step-by-step explanation:
First let's define variables a and x:
a = area of rectangle and square
x = side of square
Now let's create an equation to calculate a using the square and an equation to calculate a using the rectangle:
Using square: 
Using rectangle: 
Now we want to solve for x so let's combine the equations since they are both equivalent to a

Simplify

Solving this we get 10 and -3
Since it is impossible for a square to have a negative side value we can conclude that the value is 10cm
This can then be checked by plugging in 10 as x in our equations and seeing if we get the same a value:
Using square: 
Using rectangle: 
Answer: C)46 ft
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:

Where "r" is the radius of the circle.
Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:

Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.
Since we know that the radius of the circle is half its diameter, we can find "r". This is:

Then, substituting values (and using
), we get:
