Answer:
The perimeter of the plaque is 28 inches.
Step-by-step explanation:
Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.
To find : What is the perimeter of the plaque?
Solution :
The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.
The base of each triangle is equal to the length of a side, s.
The area of each triangle is 
The area of the whole polygon is 
Now, the perimeter of a regular 7-sided polygon is
.
Substitute in area,

We have given, 



The perimeter of the plaque is 28 inches.
Answer: 168 kilometers
Lakewood
| \
| \
|72\
| \
|_21_\
O’s home. Wildgrove
Wild grove to lakewood:
21^2 + 72^2 = x^2
441 + 5184 = x^2
5625 = x^2
75 = x
Home to Lakewood: 72
Lakewood to wildgrove: 75
Wildgrove to home: 21
72+75+21= 168 kilometers
Judy travel's 15.125 miles or 15
miles in 2 3/4 hours
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time
Given:
- Speed = 5 1/2 miles per hour
- Time = 2 3/4 hours
Substituting it in the relationship we get,
Distance = Speed x Time
Distance = 5 1/2 miles per hour x 2 3/4 hours
Distance =
miles
Distance =
miles or 15
miles
Thus Judy travel's 15.125 miles or 15
miles in 2 3/4 hours
Learn more about time related questions here :
brainly.com/question/16403317
#SPJ4
Answer:
Distinct ways in which they all can form the teams for the class = n(n-1)
Step-by-step explanation:
Total numbers of students = n (even number)
Number of student in each team = 2
Number of distinct ways are there to form the teams for the class:

where = n = number of elements = n
k = number of elements choose = 2


Answer:
7 red shirts
6 green shirts
11 blue shirts
4 yellow shirts
Step-by-step explanation:
Let y represent the number of green shirts.
So y+5 is the number of blue shirts.
And y-2 is the number of yellow shirts.
And we have 5 red shirts.
Therefore,
7+5+y+y-2+y=28
12-2+3y=28
10+3y=28
3y=28-10
3y=18,divde through by 3
y=6