If we draw a perpendicular line from one of the vertices of the triangle we get 2 right angled triangles each with altitude 9 ins and vertex angle = 30 degrees. So:-
cos 30 = 9 /h where h = one of the sides of the equilateral triangle
h = 9 / cos 30 = 10.392 inches
Therefore the perimeter of the triangle = 3 * 10.392 = 31.1769 ins
Answer is 31.18 inches to the nearest hundredth.
So, XZ= 7x+1 and PZ= 4x-1. To figure out XP we have to subtract those two.
(7x+1)-(4x-1)
3x-2
3(8)-2
24-2
22
XP=22
Set it up like a regular equation. I used:

As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
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This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
brainly.com/question/25860159