The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
Answer:about a third of the residents prefer a park improvement of more trees
Step-by-step explanation:only 27 out of 75 would make it a third
Answer:
y=-0.215x^2+35
Step by Step:
Let,
,
,
, 
We know that, the general equation of the parabola.


Substitute the value of
in equation
and find the value of 







Hence, the equation of the parabola is:

Answer:
40 volcanoes = 100% of them 15% were in California so if we want to know how much % were in Alaska we do 100% - 15% which equals 85%, so 85% were in Alaska. Now to find out how many the geologist visited in each state multiply 40 by the percentage. Number of volcanoes in California = 15% of 40 volcanoes = 0.15 x 40 = 6Number of volcanoes in Alaska = 85% of 40 volcanoes 0.85 x 40 = 34
Step-by-step explanation:
Answer:
x = -3 x=2
Step-by-step explanation:
x^2 + x - 6 = 0
Factor
What two numbers multiply to -6 and add to 1
3*-2 =-6
3+-2 =1
(x+3) (x-2) = 0
Using the zero product property
x+3 = 0 x-2 = 0
x = -3 x=2