1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zysi [14]
2 years ago
12

Can someone please help me​

Mathematics
1 answer:
astra-53 [7]2 years ago
5 0

Answer:

square 20 has 44 green squares

square 21 has 45 green squares

Step-by-step explanation:

To solve the problem, we need to observe the cases, and determine/define a rule for each case (odd number of sides, or even number of sides).

For square one, we note that the centre square is shared by two diagonals, so we saved one square from the two diagonals.

The side length is 3 for square 1, 4 for square 2, and so on.

Let

n= square number (1, 2,3...)

L = side length (3,4,5...)

G1(n) = function that gives the number of green squares for square n, n=odd

G2(n) = function that gives the number of green squares for square n, n=even

side length, L=n+2   ................(1)

G1(n) = twice the side length less one, as discussed above

G1(n) = 2L-1       now substitute L=n+2

G1(n) = 2(n+2) -1    simplify

G1(n) = 2n + 3

Check:

for n=1, square 1 has 2*1+3 = 5 green squares ... checks

for n=3, square 3 has 2*3+3 = 9... checks

for n=5, square 5 has 2*5+3 = 13 ....checks

For even squares, it is even easier, because

G2(n) = 2L = 2(n+2)

check:

for n=2, square 2 has 2(2+2) = 8 green squares........checks

for n=4, square 4 has 2(4+2) = 12 green squares........checks.

Fincally, we apply our formula to n=20 and n=21

square 20 : G2(20) = 2(n+2) = 2(20+2) = 44 green quars

square 21 : G1(21) = 2n+3 = 2(21)+3 = 45 green squares

You might be interested in
What is the answer to the problem 6x+1+7x
My name is Ann [436]
Mmm should be 13x+1
5 0
3 years ago
Read 2 more answers
I NEED HELP LIKE NOW!!!
Alex73 [517]

Answer:

C= b+ 0. 7

Step-by-step explanation:

C= b+ 0. 7

C= b+ 0. 7

6 0
3 years ago
How do I find the measure of problem #13
lidiya [134]

Answer:

Set the two equations equal to each other if you want me to solve tell me.

So.... 15x+10=16x+3

-15                  -15

10=1x+3

-3

7=x

5 0
2 years ago
Read 2 more answers
The diameter of a cookie is 2 inches. If π = 3.14, what is the area of the cookie, rounded to the nearest tenth?
insens350 [35]

Answer:

3.1 inches

Step-by-step explanation:

Area of the cookie =Pi r^2

Pi = 3.14

Diameter = 2inches

Radius r = diameter/2 = 2/2

= 1

Therefore

Area = 3.14 x 1^2

= 3.14 x 1 x 1

= 3.1 inches

3 0
2 years ago
18 points help me fast please
Phantasy [73]
The answer is d positive
4 0
2 years ago
Other questions:
  • The length of one leg of a right triangle is 48 ft, and the length of the hypotenuse is 50 ft. What is the length of the other l
    6·2 answers
  • Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, nine sai
    6·1 answer
  • Two dads and two son's went to an ice cream shop and they all bought one each it cost's 50 cents but they only paid $1.50
    10·2 answers
  • PLZZZZ HELP ME!!!! the graph of f(x),shown below,resembles the graph of g(x)=x^2 but it has been changed somewhat. which of the
    5·2 answers
  • A bainbridge mass spectrometer is used to separate
    5·1 answer
  • 8.4×3.7 please show your work
    11·2 answers
  • What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?​
    14·1 answer
  • Which is the equation of the circle that has a diameter with endpoints located at (-2, 0) and (6, 6)?
    12·1 answer
  • A video is getting 150000 views every 3 days how long will it take to reach 400000 views?
    11·2 answers
  • What would you do if you found two values that were twice as big as the next highest value?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!