Answer:
The approximate area of the regular pentagon is 423 sq.cm.
Step-by-step explanation:
Formula of area of regular pentagon =
P=Perimeter of pentagon
a=Apothem
Side of pentagon = 14.1 cm
Perimeter of pentagon =
Apothem=12 cm
Area of regular pentagon = 
Hence the approximate area of the regular pentagon is 423 sq.cm.
Answer:
x = 28
Step-by-step explanation:
Let the total number of students = x
x/7 + 3x/7 + 2x/7 + 4 = x If that is all there is. If it isn't the problem can't be done. Combine like terms.
x(1 + 3 + 2)/7 + 4 = x
x (6/7) + 4 = x Subtract 6x/7 from both sides
4 = x - 6x/7
4 = 7x/7 - 6x/7 Combine
4 = 1/7x Multiply both sides by 7
4*7 = 7x / 7
x = 28
John invested the money at simple interest for 4.22 years.
We have,
Invested amount = $ 4500
Rate of interest = 5.5 %
Time = t years
Maturity value = $ 5545
So,
Total interest earned = $ 5545 - $ 4500 = $ 1045
And,
Simple interest = (Principal × Rate × Time ) / 100
So, Using the mentioned formula,
1045 = ( 4500 × 5.5 × t ) /100
1045 = 45 × 5.5 × t
⇒
t = (1045) / (45 × 5.5)
⇒ t = 4.22 years
Therefore, John invested the money at simple interest for 4.22 years.
Learn more about simple interest here:
brainly.com/question/22621039
#SPJ10
Answer:
k = -2/5
Step-by-step explanation:
2k+9=7-3k
2k+3k=7-9
5k=-3
k=-2/5
