<span>Whenever two chords intersect in a circle, the products of their segments are equal.</span>
Source:
http://www.1728.org/circangl.htm
A system of equations is good for a problem like this.
Let x be the number of student tickets sold
Let y be the number of adult tickets sold
x + y = 200
2x + 3y = 490
x = 200 - y
2(200 - y) + 3y = 490
400 - 2y + 3y = 490
400 + y = 490
y = 90
The number of adult tickets sold was 90.
x + 90 = 200 --> x = 110
2x + 3(90) = 490 --> 2x + 270 = 490 --> 2x = 220 --> x = 110
The number student tickets sold was 110.
Answer:
6m + 2n
Step-by-step explanation:
we have to added up the like therms
like therms are therms that have the same literal part
6m + 2n
Answer:
So we have 
.
Step-by-step explanation:
Ok so we are in quadrant 2, that means sine is positive while cosine is negative.
We are given 
.
So to find the opposite we will just use the Pythagorean Theorem.
This is the opposite side.
Now to find 
and 
.
.
Some teachers do not like the radical on bottom so we will rationalize the denominator by multiplying the numerator and denominator by sqrt(5).
So 
.
And now 
.
So we have .
<span>0.5p - 3.45 = -1.2 ⇒ p=4.5</span>
