Answer:
Step-by-step explanation:
Looking at the right angle triangle that contains x and y, we would apply trigonometric ratio to determine x an y. Taking 60 degrees as the reference angle,
Hypotenuse = y
Adjacent side = x
Opposite side = 36
Therefore,
Sin # = opposite side / hypotenuse
Sin 60 = 36/y
y = 36/Sin60 = 36/0.8660 = 41.57
Cos # = adjacent side/hypotenuse
Cos 60 = x/41.57
x = 41.57Cos 60 = 41.57 × 0.5 = 20.785
Sin45 = z/36
z = 36Sin45 = 36 × 0.7071 = 25.4556
Answer:
2. 5 miles
Step-by-step explanation:
Given that:
Rental cost = $30
Cost per mile driven = 18 cent
Daily budget = $75
Greatest distance you can drive each day while staying within budget :
Rental cost + (cost per mile driven * distance) ≤ daily budget
$30 + 18d ≤ $75
18d ≤ 75 - 30
18d ≤ 45
d ≤ 45 / 18
d ≤ 2.5
Greatest distance you can drive each day while staying within budget is 2.5 miles.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The most general form of this, without seeing any of the options, would be:

Again, there might have been a value outside the parenthesis that may or may not have been negative, but either way, this is the most basic translation of the parabola.
Answer:
7.5 gallons
Step-by-step explanation:
We know that 1 gal = 3.8 L, and we have 28.5 L. So, set up a proportion:
1 gal / 3.8 L = x gal / 28.5 L , where x is the number of gallons the cafeteria made
Cross-multiply:
1 * 28.5 = 3.8 * x
28.5 = 3.8x
Divide by 3.8:
x = 28.5 / 3.8 = 7.5 gallons
<em>~ an aesthetics lover</em>