Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
please mark me as brainlist please hi
Answer:
165
Step-by-step explanation: find the area or the field A=r^2
the radius is 290/2=145ft
A=145* 145* 3.14= 66018.5 sqr ft
66018.5 / 400= 165
5/6 of 300 is 250 people that completed the course.
Answer:
y = --0.25x + 1
Step-by-step explanation:
In order to find the equation of a line, you must first find the slope of the line.
The equation to find slope is .
Plug in the given points:
(x2, y2) = (-8,3)
(x1, y1) = (-4,2)
(y2 - y1) / (x2 - x1) = (3-1)/ (-8 - -4) = (3-2) / (-8 + 4) = 1/-4 = -0.25
Next, you solve for the y-intercept using one of the two coordinates:
y = -0.25x + b
2 = -0.25(-4) + b
2 = 1 + b
b = 2 - 1 = 1
y = -0.25x + 1
Answer:
A(1,1)
Step-by-step explanation:
the system is :
2x-y=1
x+2y=3
so :
y = 2x-1 .....the line color : red
y= (-1/2)x+3/2......the line color : blue
the pair solution is the intersection point for this line : A(1 ; 1)