<span>To begin you have to find the midpoint of the side with (2,4) and (-4,2) as vertexes.
[ 2 + -4 ] / 2, [ 2 + 4 ] / 2 ) = (-1, 3)
Then you have to find the point 2/3 of the distance from (0,-2) to (-1,3) =
(0 + (-1 - 0) (2/3) , -2 + ( 3 - -2)(2/3) )
( 0 - 2/3, -2 + (5)(2/3) )
(-2/3, -2 +10/3 )
The coordinates of the centriod of a triangle are (-2/3 , 4/3 )</span>
Answer:
It required 3 cones to fill up the cylinder with the same height and diameter.
Step-by-step explanation:
Let the radius of the cone and cylinder be r.
Let the height of the cone and cylinder be h.
As we know that 
....(1)
It can be observed that the volume of a cone is 
rd the volume of the cylinder. so, multiply the volume of the cone by 3.
(From equation 1 )
Hence, It required 3 cones to fill up the cylinder with the same height and diameter.
Answer:
10
Step-by-step explanation:
9 1/6 × 1 1/11
Change each number to an improper fraction
9 1/6 = (6*9 +1)/6 = 55/6
1 1/11 = (11*1 +1) /11 = 12/11
55/6 * 12/11
Rearranging
12/6 *55/11
2/1 *5/1
10
Answer:
c= 17
Step-by-step explanation:
c² = a² + b²
c= ?
a = 8
b= 15
c² = (8)² + (15)²
c² = 64 + 225
c² = 289
The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
<h3>How to determine the number of years?</h3>
The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
Read more about logarithmic functions at:
brainly.com/question/25953978
