60/48
Both can be reduced by 12 to 5/4
So you can have 12 groups with 5 6th graders and 4 7th graders
Answer:
A) 150
Step-by-step explanation:
All the angles in a triangle must add up to a total of 180 degrees.
So we can make an equation as given below:
20+10+?=180
30+?=180
?=150
So the missing angle is 150 degrees
Answer:
d = 11
Step-by-step explanation:
10 - d = -34 - 5d
10 (- d + d) = -34 (- 5d + d)
10 = -34 - 4d
10 + 34 = (-34 + 34) - 4d
44 = 4d
44/4 = 4d/4
d = 11
Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π
