Answer:the length of the third side is 4√7
Step-by-step explanation:
The perimeter of a triangle is 16 to the square root of 7 feet. This is expressed as
Perimeter = 16√7 feet
The perimeter of a triangle is the sum of the length of the three sides of the triangle.
If the two sides measure the square root of 343 feet and the square root of 175, which are expressed as √343 and √175, the third length would be
16√7 - (√343 + √175)
Expressing √343 as a radical, it becomes 7√7
Expressing √175 as a radical, it becomes 5√7
7√7 + 5√7 = 12√7
Therefore, the third length would be
16√7 - 12√7 = 4√7 feet
Answer:
d = 234.6 m
Step-by-step explanation:
You can consider a system of coordinates with its origin at the beginning of the walk of the student.
When she start to walk, she is at (0,0)m. After her first walk, her coordinates are calculated by using the information about the incline and the distance that she traveled:

she is at the coordinates (52.97 , 28.16)m.
Next, when she walks 180m to the east, her coordinates are:
(52.97+180 , 28.16)m = (232.97 , 28.16)m
To calculate the distance from the final point of the student to the starting point you use the Pythagoras generalization for the distance between two points:

The displacement of the student on her complete trajectory was of 234.6m
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If

If 

So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change 
Substituting the values, we get
The percentage rate of change
.
As the values of y decrease with an increase in x, it is the percent decrease per unit.
Answer:
A
the first one(A) is twice the second rectangle (B)