Answer:
Circumference of the smaller circle = 2.1x units
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?
Radius of the larger circle OB = x units
Radius of the smaller circle OA = y units
Circumference of larger circle = 2πx units
Circumference of smaller circle = 2πy units
Since circumference of larger circle is 3 times the circumference of smaller circle,
2πx = 3(2πy)
2πx = 6πy
x = 3y
y =
Therefore, circumference of the smaller circle = units
= units
= 2.094x
≈ 2.1x
Circumference of the smaller circle circle = 2.1x units
Answer:
x=33°
Step-by-step explanation:
To solve this, we first must remember that the sum of the interior angles of a triangle must equal 180°.
Since we already know 2 angles, we can simply subtract those from 180° to find our third angle:
180-114-33= 33°.
3x + 2 + 12x = 0
15x + 2 = 0
15x + 2 - 2 = 0 - 2
15x = -2
15x/15 = -2/15
X = -2/15
I hope that answers your question
Your task is to convert 12m/s into km/min
to get kilometers from meters we need to divide by 1000 and to get minutes from seconds we need to multiply 12 by 60. The reason why we are multiplying is because minutes are bellow / sign, so dividing divisor is equivalent to multiplying entire number.
That means that the answer is converting seconds to minutes and meters to kilometers
We separate equation by looking at x and y projection separately.
Let us look at the x projection first.
Motion starts with initial velocity
because there is no force acting along the x-axis we don't have any acceleration along the x-axis. Our equation would be:
Now our y equation will be a little bit more complicated. There is gravity working against our projectile and we also have to take into effect the hight from which the projectile is launched.
With all that in mind let us write the equation for y projection:
The term
represents gravity and as you can see it is negative, which means gravity is pulling our projectile down.
There is one more thing we can do. We can express initial velocity
in relation to circular motion used to launch the projectile.
Where r is the length of the letter used to launch the projectile, and
is angular velocity.
If we combine our x and y equations we can get the trajectory of our projectile.
This is the equation of a parabola. If you follow this link(https://www.desmos.com/calculator/vogcuygjhs) it will take to an interactive graph where you can see how trajectory looks like depending on some of the paramaters.