Answer:
1. 6
2. 1
3. 5
Step-by-step explanation:
You can find the GCF by finding the prime factorization of the numbers.
1. 12 and 18
12= 2*2*3
18=2*3*3
They both have 2 and 3 in common, so their GCF is 2*3 or 6.
2. 9 and 35
9= 3*3
35= 5*7
Although they don't have any prime numbers in common, all numbers have the factor one in common, so they're relatively prime but their GCF is 1.
3. 15 and 25
15 = 3*5
25= 5*5
They have one 5 in common so their GCF is 5.
Answer:
Radius = r = 7.5
Diameter = d = 15
Circumference = C = 15π
Step-by-step explanation:
We are given the image of a circle with a straight line passing through the center of the circle and touching its edges. Such a line is known as the diameter of the circle. From the image we can see the length of the diameter of the circle is d = 15 units.
Radius is define as half of the diameter. Since the diameter is 15 units, the radius of the given circle will be half of 15 which is r = 7.5 units.
Circumference of the circle = C = 2πr
Using the value of radius(r), we can write the circumference as:
C = 2π(7.5) = 15π
Answer:
7.1 in
Step-by-step explanation:
use the pythagorean theorem
3.1^2+6.4^2=c^2
9.61+40.96=50.57
***IMPORTANT remember to square root the answer you get. it will still be in c^2 form. so 50.57 wouldn't be the real answer, and instead would be 7.1
7+3x≤8(3+x) perform indicated multiplication on right side
7+3x≤24+8x subtract 8x from both sides
7-5x≤24 subtract 7 from both sides
-5x≤17 divide both sides by -5 (and reverse direction of inequality sign because of multiplication/division by a negative value)
x≥-17/5
x≥ -3.4