2.3p - 10.1 = 6.5p - 4 - 0.01p
If we multiply this equation by 100 we have
230p - 1010 = 650p - 400 - p
So the right answer is this
The shifts of the sinus function can be described with the formula:
<span>a<span>sin<span>(<span><span>bx</span><span>−c</span></span>)</span></span></span>+<span>d, where
a is the amplitude
b is the period
c is the phase shift
d is the vertical shift
So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.</span>
Answer:
the system of equation has infinite solution
Step-by-step explanation:
, 
Solve the first equation for x_2
Subtract 5x1 on both sides


Now substitute -5x1 on second equation



0=0
So the system of equation has infinite solution
To find the volume of the prism you are going to use the formula V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.
Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3
Upon simplifying that you get 540.
Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512
I recommend drawing it out... it helps a lot:)
We can use the Pythagorean Trigonometric Identity which says:

Since we need to find sin(t), we have to solve for it:

Let's plug in the given cos(t) value:

And solve sin(t):

Simplify further:

And it all simplifies down to:

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:

Hope this helps!