Is there any other number or is it algebra
2x =50 since it is an isosceles triangle
x =25
the sum of all angles in a triangle is 180
5y + 10 + 50 + 2x=180
5y + 10 + 50 +50 =180 because 2x = 50
combine like terms
5y +110 = 180
subtract 110 from each side
5y = 70
y = 14
Step-by-step explanation:
Use the method of TOA CAH SOH.
Perimeter of triangle = Sum of all sides =
<h2>A)</h2>
<h2>B)</h2><h3>Since we only have 75 tickets to sell, the domain is:</h3><h2>t ε [ 0 , 75 ]</h2>
<h2>Range: (extra)</h2><h2>m ε [ 0 , 225 ] </h2>
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
