Answer:
3769.92 ft
Step-by-step explanation:
The diameter of the wheel, d= 60 ft
We know the perimeter of the wheel is,
= πd
= 3.1416*60
= 188.496 ft
Wheel travel for 5 minutes. So the wheel travel,
= 5*60
= 300 sec
The wheel rotates in every 15 seconds. So the wheel rotates,
= 300/15
= 20 times
In one rotation, the wheel travels its perimeter. so is 5 minutes it travels,
= 188.496*20
= 3769.92 ft
Answer:
A = 110.25
Step-by-step explanation:
add all the equations and equal it to 180 because all triangle angles add to 180:
4x+1 + 3x + 3x-1 = 180
10x =70
/10 /10
x = 7
Insert x into each equation and solve:
3(7)-1 = 20
4(7)-1 = 27
3(7) = 21
and then use A = 1/2 base*height formula:
A= 1/2 21* 20
A= 210
Point slope is a really easy form for linear equations. It lets you plug in the numbers from a cordinate that the line passes through on the graph and the slope directly. Here is the point slope equation:

(The (2) and (1) next to the x's and y's are suposed to be underneath them. There is also supposed to be an extra parentheses at the end.)
You would replace y(1) with the y value, x(1) with the x value, and m with the slope. For example, if you have a line that crosses through the point (6, 10) with a slope of 3, this is how you would write the equation of the line in point slope form:

Now, for this problem, we have the point (1, 4) with a slope of 2. This is the point slope form for the given point and slope:

The values of y1 and x1 are the values we plugged into this equation, 4 and 1.
y=2X-5 and 4X-Y=7
Putting the value of Y in 2nd equation:
4x-2x+5=7
2x=7-5
2x=2
OR,x=2/2=1
putting the value of x in equation 1:
y=2x-5
y=2*1-5
y=2-5
y=-3
Answer:
The full answer is
-2.0612244898
Rounded to 2 decimal places
2.06