Answer: 7/24
Step-by-step explanation:
1/4 + 1/3 + 1/8
They all need a common denominator to be added:
6/24 + 8/24 + 3/24 =
17/24
The remaining number to 24 is the answer (17/24 + 7/24 = 24/24)
Circumference = 2 pi r , so
36 pi = 2 pi r
r = 36 pi / 2 pi
= 18 cm answer
Step-by-step explanation:
find the value of f(-4) first
f(-4) = (-4)^2 - 7 ➡ 9 use this to find g(f(-4))
g(9) = 5 - 9^2 ➡ -76
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.
Answer:
B
Step-by-step explanation:
Since a cube has 6 sides, the surface area of a cube is 6 times the area of one of the sides. Therefore:

Hope this helps!