Answer:
Step-by-step explanation:
a. Given that the area's are in the ratios 16:81.
-Area is two-dimensional while perimeter is one-dimensional
=>The perimeter's of the two polygons will vary in a ratio equal to the square root of their area's ratio:
We use the perimeter ratio to find the perimeter of the larger polygon:
Hence, the perimeter of the larger polygon is 954 ft
b -Given the area of the larger polygon is 4779 ft2, the smaller polygon can be determined using the area ratio 16:81
Hence, area of the smaller polygon is
Given :
The scale of a model train is 1 inch to 13.5 feet.
One of the cars of the model train is 5 inches long.
To Find :
The length, in feet, of the actual car.
Solution :
It is given that scale of the model is 1 inch to 13.5 feet. It means that 1 inch in the actual scale is equal to 13.5 feet in real.
So, length of car real is :
Length = 5 × 13.5 feet
Length = 67.5 feet
Therefore, the length of the actual car is 67.5 feet.
Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Hey there!!
Perimeter of a rectangle =2 ( length + width )
Let's take the measure of the width as ' x '
Then, the length would be ' 3x '
Hence,
... 2 ( x + 3x ) = 96
... 2 ( 4x ) = 96
... 8x = 96
... x = 96 / 8
... x = 12
Width = 12 inches
And, length would be 36 inches.
Hope my answer helps!!
Answer:
9
Step-by-step explanation: