Answer:
1584 cu in.
Step-by-step explanation:
Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation
28 = 2^2(7)k = 28k
k = 1
Now V = r^2h
V = (12)^2(11) = 144(11) = 1584 cu in.
Answer:
3√2
Step-by-step explanation:
The congruent length of the triangle are the lengths with equal lengths. For an isosceles triangle, two of its sides are equal. In order to know the length of one of the congruent legs of JLK, we will find the distance between the adjacent point of the triangle.
Given triangle J L K has points J(2, 4), K(5, 1) andL (2, -2).
Using the formula to calculating distance between two points
D = √(x2-x1)²+(y2-y1)²
For side JK,
J(2, 4), K(5, 1)
JK = √(5-2)²+(1-4)²
JK = √3²+-3²
JK = √18
JK = 3√2
For side KL,
K(5,1), L(2, -2)
KL = √(2-5)²+(-2-1)²
KL = √-3²+-3²
KL = √18
KL = 3√2
For side JL
J(2, 4), L(2, -2)
JL= √(2-2)²+(-2-4)²
JL = √0²+-6²
JL = √36
JL = 6
SINCE JK = KL = 3√2, the length of one of the congruent legs is 3√2
Given:
Graph of function 1.
The equation of function 2 is 
.
To find:
The function which has a greater rate of change.
Step-by-step explanation:
From the given graph it is clear that, the function 1 passes through two points (0,0) and (1,2). So, slope of function is
So, rate of change of function 1 is 2.
On comparing the equation with 
, where m is slope and b is y-intercept, we get
So, rate of change of function 2 is 
.
Since, 
, therefore, function 1 has a greater rate of change.
Answer:
$6700
Step-by-step explanation:
A. p. 3. x
I think its vertical angles? you should show the answer options
