Answer: 30
Step-by-step explanation:
all angle degrees added up = 180 degrees as I said before.
180 = 102+48+M
180 = 150+M
M = 30
Answer:
mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
8 - direct variation Since the equation can be written in the form y=kx. , y varies directly with x and k. The constant of variation, k, is 3.25
9 - When solving for y, y=5x-9 so y doesn't vary directly with x.
y doesn't vary directly with x
10 - direct variation Since the equation can be written in the form y=kx, y varies directly with x and k. The constant of variation, k, is -2.4
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:
Option b. 12
Step-by-step explanation:
This exercise asks us to find the derivative of a function using the definition of a derivative.
Our function is
. Therefore:


Then:

Expanding:


Now, if x=0:

Answer:
0.06, but this is rounded
Step-by-step explanation:
2.15/38=0.06 (rounded)
Hope this helps and have a great day (づ ̄ v ̄)づ