Answer:
y = 16.3
Step-by-step explanation:
We would apply the formula for altitude of a right triangle which is given as:
h = √(xy)
Where,
h = 14
x = 12
y = y = ?
Plug in the values
14 = √(12*y)
14² = (√(12*y) (squaring both sides)
196 = 12*y
196/12 = 12y/12 (division property of equality)
16.3 = y (nearest tenth)
y = 16.3
Answer:
The circumference of the circle is 6 cm (approximately).
Step-by-step explanation:
Given:
Area of the circle = 1/4π²
Now, to get the circumference of the circle we need the radius.
So, finding the radius by putting the formula of area:
Area = ![\pi r^{2}](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E%7B2%7D)
=
dividing π by both sides:
![\frac{1}{4}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cpi)
![=r^{2}](https://tex.z-dn.net/?f=%3Dr%5E%7B2%7D)
using square root on both the sides:
![\frac{1}{2}\sqrt{\pi } = r](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7B%5Cpi%20%7D%20%3D%20r)
So, the radius is ![\frac{1}{2}\sqrt{\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7B%5Cpi%20%7D%20)
Now, putting the formula of circumference:
![circumference=2\pi r](https://tex.z-dn.net/?f=circumference%3D2%5Cpi%20r)
=![2\pi\frac{1}{2} \sqrt{\pi}](https://tex.z-dn.net/?f=2%5Cpi%5Cfrac%7B1%7D%7B2%7D%20%5Csqrt%7B%5Cpi%7D)
=![\pi \sqrt{\pi}](https://tex.z-dn.net/?f=%5Cpi%20%5Csqrt%7B%5Cpi%7D)
putting the value of π =3.14
=![3.14\times\sqrt{3.14}](https://tex.z-dn.net/?f=3.14%5Ctimes%5Csqrt%7B3.14%7D)
=![3.14\times1.77](https://tex.z-dn.net/?f=3.14%5Ctimes1.77)
=![5.56](https://tex.z-dn.net/?f=5.56)
Circumference = 5.56 cm
Therefore, the circumference of the circle is 6 cm (approximately).
Answer:
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount the artist can receive for the goods, hence:
|x - 250| = 25
x - 250 = 25 or -(x - 250) = 25
x = 275 or x = 225
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
One ton = 2000 lbs
Therefore, 1.5 tons = 3000 lbs
3000-300=2700lbs