The correct answer is 12 teeth
Explanation:
The ratio represented by the diagram is 6:1 or 6/1, this means, for each 6 teeth in the larger gears there is only 1 in the smaller gear. Now, to find the number of teeth if the larger gear is 72 the best is to use cross multiplication. The process is shown below:
1. Write the known values, and use x to represent the value missing
2. Use cross multiplication, and then division to find x
3. Solve the operation
You can use Newton's law, Resultant force=Mass×Acceleration.To find the acceleration take force over mass of the person which is 761N÷75.0kg.Hope this helps.
Answer:
304m^2
Step-by-step explanation:
First find the surface area of the base by multiplying the length by the width.
(12m) (8m)= 96m^2
Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.
1/2 (12m) (10m)= 60m^2
Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.
1/2 (8m) (11m)= 44m^2
Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.
base=a, front/ back triangles= b, side triangles=c
SA= a + 2b +2c or SA= a +b +b +c +c
Using one of the equations above solve for the total surface area.
SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)
or
SA= (96m^2) + 2(60m^2) +2(44m^2)
SA= (96m^2) +(120m^2) +(88m^2)
SA= 304m^2
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
To find the slope(m), use the slope formula:
And plug in the two points on the line
(-4, -4) = (x₁, y₁)
(4, -2) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Simplify the fraction
Now that you know the slope, substitute/plug it into the equation
y = mx + b
To find b, plug in either of the points into the equation, it doesn't matter which, then isolate/get the variable "b" by itself. I will use (4, -2)
-2 = 1 + b Subtract 1 on both sides to get "b" by itself
-3 = b
Your answer is A