A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.
13. The prime factorization of 8 is 2 * 2 * 2. The prime factorization of 26 is 2 * 13. Looking at the prime factorizations, we can see that both of them have 2. That means that the GCF is 1 * 2 which is 2.
12. The prime factorization of 105 is 3 * 5 * 7. The prime factorization of -30 is -5 * 6. We see that the number shared 5. That means that the GCF is 5 * 1 or 5.
Step-by-step explanation:
7. Since they are similar triangles we have:
So DF is 15
8. They are also similar. So:
So PR is 10
The answer is 7 meters.
Area is (pi)r^2
If we remove pi, we have 49=r^2
This means that r=7
Answer:
Step-by-step explanation:
Given that,
The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.
The diameter of the sphere is 3.5 m.
The height of the cylinder is 2 m
Height of the cylinder = Height of bowl− Radius of hemisphere
= 2 - (3.5/2)
= 0.25 m
The volume of the vessel is given by :
V = volume of hemispherical bowl + volume of cylinder
So,
So, the volume of the vessel is 
.
For the pizza that needs 1/3 of a block you know that with 1 block you can make 3 pizzas so if each block gives you 3 pizzas and you have 9 blocks then you would show 3 x 9 = 27 so you could make 27 pizzas
for the pizzas that need 1/5 you can make 5 pizzas with 1 block so same thing
5 x 9 = 45 so 45 pizzas
