It is a scalene triangle as all the sides are unequal in length.
Answer:
c
Step-by-step explanation:
107 x 3.778 x 125/100 = 4.735 x 1-7
Let <em>S</em> denote the sum
![1\cdot3+2\cdot4+3\cdot5+\cdots+n\cdot(n+2)](https://tex.z-dn.net/?f=1%5Ccdot3%2B2%5Ccdot4%2B3%5Ccdot5%2B%5Ccdots%2Bn%5Ccdot%28n%2B2%29)
We can condense this to sigma notation:
![S=\displaystyle\sum_{k=1}^nk(k+2)](https://tex.z-dn.net/?f=S%3D%5Cdisplaystyle%5Csum_%7Bk%3D1%7D%5Enk%28k%2B2%29)
Expand the summand:
![S=\displaystyle\sum_{k=1}^nk^2+2\sum_{k=1}^nk](https://tex.z-dn.net/?f=S%3D%5Cdisplaystyle%5Csum_%7Bk%3D1%7D%5Enk%5E2%2B2%5Csum_%7Bk%3D1%7D%5Enk)
Recall the Faulhaber formulas,
![\displaystyle\sum_{k=1}^nk=\frac{n(n+1)}2](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bk%3D1%7D%5Enk%3D%5Cfrac%7Bn%28n%2B1%29%7D2)
![\displaystyle\sum_{k=1}^nk^2=\frac{n(n+1)(2n+1)}6](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bk%3D1%7D%5Enk%5E2%3D%5Cfrac%7Bn%28n%2B1%29%282n%2B1%29%7D6)
So we have
![S=\dfrac{n(n+1)(2n+1)}6+n(n+1)=\boxed{\dfrac{n(n+1)(2n+7)}6}](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7Bn%28n%2B1%29%282n%2B1%29%7D6%2Bn%28n%2B1%29%3D%5Cboxed%7B%5Cdfrac%7Bn%28n%2B1%29%282n%2B7%29%7D6%7D)
My equation was (1230÷3) ×4 ×this is the multiplication sign
Answer:
x = 7
y = 3/2 or 1.5 (IF THE ANGLE IS 30 BY THE RATIOS OF A RIGHT TRIANGLE.)
hope it's right
Step-by-step explanation:
FOR X:
Let's solve your equation step-by-step.
4x+3=31
Step 1: Subtract 3 from both sides.
4x+3−3=31−3
4x=28
Step 2: Divide both sides by 4.
4x/4=28/4
x=7
FOR Y:
Step 1: Simplify both sides of the equation.
(3)(7)+6y=30
21+6y=30
6y+21=30
Step 2: Subtract 21 from both sides.
6y+21−21=30−21
6y=9
Step 3: Divide both sides by 6.
6y/6=9/6
y=3/2