First, we need to add all of the dollar amounts to get the total the civic group needs to raise.
$2,500+$1000+$300+$200=$4,000.
Then, divide by number of tickets.
$4,000/1,000=$4
The civic group needs to sell each ticket for $4.
The answer i got is a standard positive 8
Answer:
28. (H) 24 ft
30. (F) 
Step-by-step explanation:
28. A right triangle can be formed, where the length of the cable represents the hypotenuse, and the ground represents the base of the triangle. From the pythagorean theorem,
where a and b are legs, and c is the hypotenuse of a right triangle.
So
30. The probability of drawing a red 1 is 
(a red star 1 or a red heart 1), the probability of drawing a black 3 is (a black triangle 3 or a black circle 3), and the probability of drawing a six of hearts is 
(since there is only one six of hearts in the entire deck). Since each of the cards is mutually exclusive from one another, the probability of drawing any of them is simply all of their probabilities added together. That is,
The angle of a a triangle is 180 so you do
180 - 44 = 136
136 - 31 = 105
so y = 105
Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
