Since we are already given the formula and all the information, the only thing that we have to do is input all the values and simplify until we get an answer. In addition, we must also note that the radius is 4 (because the diameter is equal to twice the radius, meaning that if the diameter is 8, the radius is 4). Using the formula and information given, we get:
Volume = 3 * (4)² * 12
Which simplifies to:
Volume = 3 * 16 * 12
Volume = 576
Now, we need to know the units. Since this is a 3d shape, and the unit for the lengths of the sides are centimeters, this answer will be in centimeters cubed. That means our answer is 576 centimeters cubed.
Answer:
10 and 16, x+(x+6)=26
Step-by-step explanation:
Michelle has an age we don't know, so we put her age as x.
Yogi is 6 years older than her, so her age is x+6
Michelle=x
Yogi=x+6
we know both their ages equal 26. so we set it up as
x+(x+6)=26
combining like terms we get
2x+6=26
subtract 6 from both sides
2x=20
divide both sides by 2
x=10
now that we have the value for x, we plug it into their original ages
Michelle is 10, because her age is just x.
Yogi is 16, because her age is x+6
Answer:
4 horses and 8 ducks.
Step-by-step explanation:
Let the number of ducks be d and the number of horses be h.
d + h = 12
Now ducks have 2 feet and horses have 4 so:
2d + 4h = 32
Multiply the first equation by 2
2d + 2h = 24
Subtract this equation from the second equation:
4h - 2h = 32 - 24
2h = 8
h = 4.
So there were 4 horses and 12 - 4 = 8 ducks.
Answer:
Below in bold.
Step-by-step explanation:
This is a regular polygon so all sides are congruent, therefore:
The perimeter of the polygon = 6*34 = 204 units.
We can divide the polygon into 6 conguent triangle with height 30 and base 34.
So area of 1 triangle = 1/2*34*30 = 510.
So area of the polygon = 6 * 510 = 3060 unit^2.
Perimeter of the polygon = 6*34 = 204 units.
