Answer:
Step-by-step explanation:
(12 dollars)/(8 cups) = (12/8 dollars)/cup = (1.5 dollars)/cup
21 dollars × (1 cup)/(1.5 dollars) = 21/1.5 cups = 14 cups
The length of the sky lift is 3.387.05 ft
Step-by-step explanation;
By an online search, i found that the sky lift
rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such
that:
One cathetus is 1200ft, this is the opposite
cathetus to the angle of 20.75°
The length of the ski lift would be the
hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus=1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse =1200ft/sin(20.759) =3.387.05 ft
The length of the sky lift is 3.387.05 ft
Answer:
y = -7/2x +17
Step-by-step explanation:
First, lets put the original equation into slope intercept form which is y=mx+b
7x + 2y = -8
subtract 7x on both sides
2y = -7x -8
divide by 2 on both sides
y = -7/2x - 8/2
y = -7/2x - 4
now we can plus in any x and y values to get a new b, which is our y intercept.
lets use (4,3)
Also, since they are parallel, their slope (m) will be the same.
y = -7/2x + b
3 = -7/2(4) + b
3 = -14 + b
b = 17
lets plug in our new b into our original equation
y = -7/2x + 17