Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
Answer:
5.09 ft
Step-by-step explanation:
Use the formula 4πr^2 = 64
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures 
. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:
Finally, the exact value of the position of the rider after the carousel rotates 
radians is:
Answer: x= ±(√30) / 5
Step by step:
Answer:
n = 9/4 = 2.250
Step-by-step explanation:
Rearrange: 4*n-(9)=0
Solve: 4n-9 = 0
4n = 9
n = 9/4 = 2.250
answer: n = 9/4 = 2.250
