Using trigonometry (SOHCAHTOA), <WZX is our main angle that we will be using. Our H or hypotenuse is the ZX or 7 because it is longest side in the triangle XZW, the A or adjacent is ZW or X. Then you set up your equation using the CAH of SOHCAHTOA and solve. To find WX, you use the same H or hypotenuse is the ZX or 7 because it is longest side in the triangle XZW and the O or opposite is WX which is your X. For setting up your equation you use the SOH of SOHCAHTOA and solve. You then double each of your measurements you got for ZW and WX and add them together to get your perimeter. Good luck! Let me know if you still need help!
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
Answer:
22.34 
Step-by-step explanation:
The area of a circle:
A = π
The problem gives the diameter of a circle, which is equal to 2*r.
If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.
Plugging this into the area equation,
A = π*
A =
or approximately 22.34 
Answer:
A) Distance time graph
B) d(t) = 25t
C) The expression shows the distance more clearly.
Step-by-step explanation:
A) A distance time graph as seen in the attachment provides a representation of the distance travelled.
We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.
B) And expression for the distance is;
d = vt
Where;
d is distance in metres
v is speed in m/s and t is time
We are told that the car travels at a constant speed of 100 meters per 4 seconds.
Thus, v = 100/4 = 25 m/s
Distance travelled over time is;
d(t) = 25t
C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.
Answer: 234
Step-by-step explanation:
If there are 130 nonfiction books, then there are 234 fiction books