I suppose you want to find the Volume of this Figure.
you can separate it into two rectangular prisms
one that is 6 by 9 by 24
and the other that is 6 by 9 by 30
you multiply the three numbers to get the volume of each rectangular prism.
6 * 9 * 24 = 1296
6 * 9 * 30 = 1620
then we add the two numbers we got to get the overall volume of the figure
1296 + 1620 = 2916
Therefore the Figure takes up 2916 cm^3 of space.
Answer:
Let the angles have measures 2x,3x,4x
Then 2x+3x+4x = 180
and the rest is easy
Step-by-step explanation:
Your first point should always be shown in the y-intercept following the standard form for slope-intercept form
Y = mx + b
b = y - intercept
In this case your first point would be (0,1)
You next point would be following the slope which is -2x. When you graph a equation always know that it is rise over run. For this line, it would be going from left to right since it is a negative line.
Your second point would go down 2 points from your starting point (0,1) and run 1 to the right in the x-axis, which is also called, (1,-3)
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Answer:
tan β = 
Step-by-step explanation:
tan β = 
= 
=
