The slope is 1/1
You can use rise over run
Https://mathbitsnotebook.com/Algebra1/RealNumbers/RNProp.html
Well, if the radius is 10, then the circumference is
What's the unit? Either way, 22 rev. per minute means each minute you go by
units per second. Now you got the linear speed, just find out the time by dividing the distance by the speed!
So, what's the unit for the radius?
Use the property that angles sum up to 360 degrees.
Also use property that <M = <R and <A = <P.
That gives the following equation:
m<R + m<A + m<M + m<P = 360
6x+5 + 9x+25 + 6x+5 + 9x+25 = 360
30x + 60 = 360
x = 10
Answer:
x = 10
m<M = 6x+5 = 65 degrees
First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6
now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54
a10 = - 55
now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280
so the sum of the first 10 numbers is -280
