All categories

2 years ago

Describe how you can find a co-terminal angle in radians

Mathematics

1 answer:

lyudmila [28]2 years ago

5 0

Answer:

If the initial angle is given in the form or radians, add or subtract 2π instead of 360°. radians. Adding 2π to the original angle yields the positive coterminal angle. By subtracting 2π from the original angle, the negative coterminal angle has been found.

Step-by-step explanation:

You might be interested in

9. A small airplane is 60 miles from the airport and is going down for landing with some angle of depression. However its naviga

Svetradugi [14.3K]

Answer:

13.98 degrees

Step-by-step explanation:

Let the airplane be at point A, the airport at point B and the point of overshoot, point C.

If the plane is on path AC and the pilot wants to adjust to the path AB, the angle by which the pilot will adjust the airplane heading is the angle between AB and AC which is A.

Using Cosine Rule

$Cos A=\dfrac{b^2+c^2-a^2}{2bc} \\Cos A=\dfrac{65^2+60^2-16^2}{2(65)(60)} \\Cos A=0.9704\\A=arcCos (0.9704)\\\angle A=13.98^\circ$

The pilot should adjust the plane's heading by 13.98 degrees.

8 0

3 years ago

raj and his sister zia are both at secondary school. Raj is three years older than zia. the sum of the squares of their ages is

steposvetlana [31]

Let's assume

Raj's age is x years

Zia's age is y years

we are given

Raj is three years older than zia

so, we get

$x=y+3$

now, we can solve for y

$y=x-3$

the sum of the squares of their ages is 369

so, we get

$x^2+y^2=369$

now, we can plug back y

$x^2+(x-3)^2=369$

now, we can solve for x

$2x^2-6x+9=369$

$2x^2-6x-360=0$

$x^2-3x-180=0$

$(x+12)(x-15)=0$

$x=-12 , x=15$

Since, age can not be negative

so, we will only consider positive

$x=15$

now, we can find y-value

$y=15-3$

$y=12$

So,

Raj's age is 15 years

Zia's age is 12 years...........Answer

8 0

3 years ago

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Ivanshal [37]

Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.

8 0

3 years ago

Find the missing length indicated. 18 ? 4 8 A) 21 C) 9 B) 3 D) 25

Reika [66]

I think the answer is 9

8 0

3 years ago

What is 12x^2 +14x -6 factored

oksano4ka [1.4K]

What is 12x^2 +14x -6 factored

= (2x + 3)(6x - 2)

hope that helps

8 0

3 years ago

Read 2 more answers