Answer:
V = 240 pi
Step-by-step explanation:
We want the volume of a cylinder
V = pi r^2 h
We have the diameter and want the radius
r = d/2 = 8/2 = 4
V = pi ( 4)^2 * 15
V = pi * 16* 15
V = 240 pi
Let pi = 3.14
V =753.6 cm^3
Let pi be the pi button
V =753.9822369 cm^3
Answer: (x,y) = (-1, 1)
This means that x = -1 and y = 1
========================================================
Explanation:
The first equation says that y is the same as 2x+3
That allows us to substitute y for 2x+3 in the second equation like so:
2x+5y = 3
2x+5( y ) = 3
2x + 5(2x+3) = 3 .... y replaced with 2x+3
2x+10x+15 = 3
12x+15 = 3
12x = 3-15
12x = -12
x = -12/12
x = -1
Then we'll substitute this into the first equation to find y
y = 2x+3
y = 2(-1) + 3 .... x replaced with -1
y = -2+3
y = 1
Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)
If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.
Step-by-step explanation:
<u>Step 1: Solve using the first point</u>
<em>(2, 28)</em>


<u>Step 2: Solve using the second point</u>
<em>(-1, -5)</em>


<u>Step 3: Solve using the third point</u>
<em>(4, 220)</em>


<u>Step 4: Solve using the fourth point</u>
<em>(-2, -20)</em>


<u>Step 5: Combine the first and fourth equations</u>
<u />




<u>Step 6: Solve for c in the second equation</u>



<u>Step 7: Substitute d with the stuff we got in step 5</u>



<u>Step 8: Substitute d and c into the first equation</u>
<u />





<u>Step 9: Substitute a, b, and c into the third equation</u>





<u>Step 10: Find a using b = 2</u>



<u>Step 11: Find c using a = 3 and b = 2</u>




<u>Step 12: Find d using b = 2</u>




Answer: 
Answer:

Step-by-step explanation:
The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is
.
The area of a triangle is given by
. Since the problem states that the overlapping squares are congruent, both legs of the triangle will be
and intersect at a
angle.
Thus, the sum of all four triangles is
.
Therefore, the area of the window is:

Answer:
k= -2
Step-by-step explanation:
you are dividing the x by -2 each time