Answer:
y= -1= 3(x -3)
Step-by-step explanation:
y -y1= m(x -x1)
y -1= 3(x -3)
Count the number of positive integers less than 100 that do not contain any perfect square factors greater than 1.
Possible perfect squares are the squares of integers 2-9.
In fact, only squares of primes need be considered, since for example, 6^2=36 actually contains factors 2^2 and 3^2.
Tabulate the number (in [ ])of integers containing factors of
2^2=4: 4,8,12,16,...96 [24]
3^2=9: 9,18,....99 [11]
5^2=25: 25,50,75 [3]
7^2=49: 49,98 [2]
So the total number of integers from 1 to 99
N=24+11+3+2=40
=>
Number of positive square-free integers below 100 = 99-40 = 59
.5 (or 1/2) goes into 6 12 times. 12 x 20 = 240. Your answer is 240 miles.
Answer:
Its 14
Step-by-step explanation:
The area of the of the storefront window made of glass in question is = 154 square feet
The length of the glass window that is given in the question is = 7 feet
Let us assume the Width of the glass window in question to be = x feet
Then
Area = Length * Width
154 = 7 * x
7x = 154
x = 154/7
= 22 feet
So we come to know that the width of the glass window in question is 22 feet.
Now
Perimeter of the glass window = 2 ( Length + Width)
= 2 (7 + 22) meters
= 2 * 29 meters
= 58 meters.
So the perimeter of the glass window as can be seen from the above deduction is 58 meters.
