Answer:
See step-by-step
Step-by-step explanation:
A prism is named by the shape of its bases. That makes this an octagonal prism
The shape of the bases are octagons.
The vertices are all the letters
The lateral edges are all the vertical lines connected by the vertices. RQ, WN, VM, are all examples.
The rectangles making up the sides are called lateral faces.
The altitudes are the same as the lateral edges. They all represent the height of the prism.
Are there supposed to be answers on am i just stupid
Use Law of Cosines g^2 = f^2 + h^2 -2fhCosG f^2 = g^2 + h^2 -2ghCosF h^2 = f^2 + g^2 -2fgCosH
f^2 = 28^2 + 15^2 -2*28*15Cos87 28^2 = 31^2 + 15^2 -2*31*15CosG
f^2 = 784 + 225 - 43.96 784 = 961+225 - 930CosG
f^2 = 965.0378 784 - 1186 = -930CosG
f = 31 -402 = -930CosG Divide by -930
.432258 = CosG
Cos^-1(.432258) = G
G = 64 degrees
Angle H = 180 - 64 - 87 = 29 degrees
Side f = 31 Angle F = 87 degrees
Side g = 28 Angle G = 64 degrees
Side h = 15 Angle H =29 degrees
Given :
A function , x = 2cos t -3sin t .....equation 1.
A differential equation , x'' + x = 0 .....equation 2.
To Find :
Whether the given function is a solution to the given differential equation.
Solution :
First derivative of x :

Now , second derivative :

( Note : derivative of sin t is cos t and cos t is -sin t )
Putting value of x'' and x in equation 2 , we get :
=(-2cos t + 3sin t ) + ( 2cos t -3sin t )
= 0
So , x'' and x satisfy equation 2.
Therefore , x function is a solution of given differential equation .
Hence , this is the required solution .
Answer: b. Damarias median sale is $52
Step-by-step explanation:
Hi, the correct option is b. Damarias median sale is $52.
If we rank the sales order from lowest to highest
28 46 48 48 52 52 59 60 71 192
Since 52 is the middle value, it's the median, because 4 sales are above it and 4 sales are below it.
Feel free to ask for more if needed or if you did not understand something.