Known facts:
A line shaft rotating at 250 rpm, a grinder shaft that turns at 1200 rpm diameter of grinder pulley is 5 inches.
1. Proportion equation
350/1200 = 5/x
2. Cross multiply
1200*5=250*x
x=(1200*5)/250 = (24*50*5)/(5*50) = 24
The big wheel diameter is 24 inches
Answer:
x = 7 and x = -1
Step-by-step explanation:
First, we need to factor this quadratic.
To do this, start by finding all the factors of C.
7 x 1, -7 x -1
Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.
Now, we can use the numbers 7 and 1 to create two binomials.
( x + 7 ) ( x + 1 ) = 0
The last thing we need to do is to set those binomials to 0 and solve each of them individually.
x + 7 = 0
x = - 7
Solving the first binomial gives us our first solution, -7.
x + 1 = 0
x = -1
Solving the second one gives us our second solution, -1.
The solutions are -7 and -1.
V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3
Think this is right
The angles in a triangle add up to 180 degrees. That's the same sum as a linear pair, which we get when two lines cross.
1. 180 - 65 - 45 = 70
Answer: 70°
2. 180 - 90 - 35 = 55
Answer: 55°
3. 180 - 120 = 180 - 50 - x
x = 70
Answer: 70°
