5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.
_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
Answer:
Step-by-step explanation:
Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
Answer:
Step-by-step explanation:
programs can be written in multiply languages. for this solution I'll be writing in C++.
#include<iostream> // this is called the preprocessor definition
using namespace std;
int main() //the main function
{
int num, product; //declaration of the variables
cout << "enter the whole number";
cin >> num;
product = num * 12;
cout << product; // displaying the final results
return 0;
}
The main formula we use here is Work=Rate*Time,
1. The rate (speed of working) of Dominik is

2. Let the the rate of Katarina be

Together they have a rate of

equal to

(project per hour)
so

simplify the units:



so the rate of Katarina is 3/40 (proj per hour)
Now, the rate of Dominik was 1/8 (pr/hr)=5/40 (pr/hr)
In 5 hours Dominik complets 5*5/40=25/40 of the project
Katarina completes 5*3/40=15/40 of the project.