Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
Because the cos theta < 0 then theta must be an obtuse angle
so a^2 + b^2 < a^2
C
Answer:
That would be rational
Step-by-step explanation: If you want to break it down it would be because when I look back to middle school Rational were not even to their numerator and denominator but not sure how that applies if you have 5/5 but your answer is rational hopes this helps.
Answer:
Step-by-step explanation:
It is given that an isosceles triangle has two sides of length a and base b, then the perimeter of an isosceles triangle= Sum of all the sides
⇒a+a+b=15.7
⇒2a+b=15.7
⇒b=15.7-2a
Also, we know that he sum of the lengths of any two sides of a triangle must be greater than the length of the third side that means,
⇒a+a>b
⇒2a>b
Now, substituting the value of b in the above equation, we get
2a>15.7-2a
⇒4a>15.7
⇒a>3.925
Now, b=15.7-2a, therefore b=15.7-2(3.925)=15.7-7.85=7.85
Thus possible value of b is 7.85.
