Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.
It’s -8 tell me if you need it explained for that thing
Let the distance of Jill form the base of the tower be x, then tan 40 = 100/x
x = 100/tan 40 = 100/0.8391 = 119.18 meters
Let the height of the tower from the level of the top of Jill's apartment be y, then tan 30 = y/119.18
y = 119.18 x tan 30 = 68.8 meters
Therefore, the height of Jill's apartment is 100 - 68.8 = 31.2 meters
3/4 = 9/12
2/3 = 8/12
9/12 - 8/12 = 1/12
So Johnny ran for 1/12 of an hour longer than Angie.
The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
