Answer:
26 is the hypotenuse
Step-by-step explanation:
a² + b² = c²
Given:
a = 24
b = 10
Work:
a² + b² = c²
24² + 10² = c²
576 + 100 = c²
c² = 676

c = 26
Answer:
E
Step-by-step explanation:
The outlier is a value that is much smaller or larger than the other values in a data set.
for example: {13, 16, 14, 15, 13, 15, 12, 62, 13, 12, 14}
The outlier is 62
Use tangent
tan=opposite/adjacent
tan(54)=x/150
multiply by 150
150×tan(54)=x
206.5=x (approximately)
Divide 4 by both sides
Then you get 4=3+b2
Then subtracts 3 from four
You get 1=b2
Explanation:
Let
and
. The differential volume dV of the cylindrical shells is given by
![dV = 2\pi x[f(x) - g(x)]dx](https://tex.z-dn.net/?f=dV%20%3D%202%5Cpi%20x%5Bf%28x%29%20-%20g%28x%29%5Ddx)
Integrating this expression, we get
![\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%202%5Cpi%5Cint%7Bx%5Bf%28x%29%20-%20g%28x%29%5D%7Ddx)
To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

or

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is



