Answer:
θ = 2π/3 or 5π/3
Step-by-step explanation:
2 cosθ + 1= 0
when + 1 goes to R H S Side than it becomes negative by transposition method
2 cos = -1
now by dividing by 2 both sides we get
cosθ = -
since cosθ is negative
Cosθ = - cos 60°
it means either cosθ lies in 2nd or third quadrant
θ = π - π/3
or
θ = 2π- π/3
so θ = 2π/3 or 5π/3
Given:
The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).
To find:
Which type of triangle is ΔWXY by its sides.
Solution:
Distance formula:
Using distance formula, we get
Similarly,
Now,
So, triangle is an isosceles triangles.
and,
So, triangle is right angled triangle.
Therefore, the ΔWXY is an isosceles right angle triangle.
Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:
Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72