Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the group. The length of the ladder represents the hypotenuse of the triangle.
The foot of the ladder is 6 feet from the building. This represents the adjacent side of the triangle.
The ladder reaches a height of 14 feet on the building. This represents the opposite side of the triangle.
To determine the angle that the ladder makes with the house θ, we would apply the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan θ = 14/6 = 2.33
θ = Tan^- 1(2.33)
θ = 66.8
Answer:
x = 2.03 cm
Step-by-step explanation:
opposite/hypotenuse = siny
opposite, x = sin(72) * 8
opposite, x = 2.03 cm
Answer: 85 student tickets, 65 adult tickets.
Let's say the # of students is x and the # of adults is y. The two equations we get are 7.50x + 15y = 1612.50 and x + y = 150
x = 150 - y
7.5(150-y) + 15y = 1612.5
1125-7.5y+15y=1612.5
7.5y=487.5
y=65
x=150-65
x=85
Hope this helps!
Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.