True or False 1. 25190 2510 = 251000
2 answers:
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Answer:
The total area for all 16 hamburgers is <u>113.04 in²</u>.
Step-by-step explanation:
Given:
Chris made hamburgers for his family and they each had a diameter of 3 in.
If he made 16 hamburgers.
Now, to find the total area for all 16 hamburgers.
So, the diameter 3 in is given and we need first to find the radius:
Now, to get the area of a hamburger we put formula:
<u><em>(Taking the value of π = 3.14.)</em></u>
Now. to get the total area of 16 hamburgers by multiplying 16 by the area of a hamburger:
Therefore, the total area for all 16 hamburgers is 113.04 in².
Answer:
f(x) = 1.5x - 0.5x
Step-by-step explanation:
The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.
The triangular number general formula
x (x + 1) / 2
For example,
The sequence
1, 3, 6, 10
*
* * *
* * * * * *
* , * *, * * *, * * * *
_____________________________
The pentagonal numbers
The sequence:
1, 5, 12, 22, 35
As shown in the picture can be divided into three triangles
Triangle 2
x (x + 1) / 2
Triangle 1 and 3 (they are triangles one unit smaller than 2)
n (n + 1) / 2
n= x-1
Replacing n
(x-1) ((x-1) + 1) / 2
(x-1) (x) / 2
(x-1) x / 2
______________
Function represents the pattern
Triangle 2 + (Triangle 1 + Triangle 3)
Triangle 1 = Triangle 3
So then,
Triangle 2 + 2* Triangle 1
x (x +1) /2 + 2* (x -1) x/2
Rearranging
0.5 x (x +1) + x(x -1)
0.5x^2 + 0.5x + x^2 -x
(0.5 x^2 + x^2) + (0.5x -x )
1.5 x^2 - 0.5 x
______
