Answer:
All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles). All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). All sides are congruent by definition.
$4/8 juice boxes= $0.50 per juice box
Final answer: $0.50 per joice box
Answer:The area is 14306. 625 cm.
Step-by-step explanation:
To find the area of the circle, we will need to find the diameter and find the radius.
So we know the circumference is 423.9 m and we know to get the circumference, you will need to multiply pie by the diameter .
so now we need divide the circumference by pie to find the diameter.
423.9/ 3.14 = 135 so 135 is the diameter.
To find the radius we need to divide the diameter by 2.
135/2 = 67.5
Now is time to find the area which uses the formula A= nr^2
A = 3.14 * 67.5^2
A = 14306. 625
The area of shaded part = Area of greater part - area of smaller part
Area of shaded part =
![{11}^{2} \pi - {9}^{2} \pi](https://tex.z-dn.net/?f=%20%7B11%7D%5E%7B2%7D%20%5Cpi%20-%20%20%7B9%7D%5E%7B2%7D%20%5Cpi)
area = 125.7 Cm^2
The equation of a circle is used to calculate the radius and the center of the circle.
The equation of the circle is: ![\mathbf{(x + 4)\² + (y - 4)\² = 4\²}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%20%2B%204%29%5C%C2%B2%20%2B%20%28y%20-%204%29%5C%C2%B2%20%3D%204%5C%C2%B2%7D)
The given parameters are:
--- center
Tangent to both axes
The equation of a circle is:
where (h, k) is the center and
r is the radius.
If a circle is tangent to both axes, then
![\mathbf{|h| = |k| = r}](https://tex.z-dn.net/?f=%5Cmathbf%7B%7Ch%7C%20%3D%20%7Ck%7C%20%3D%20r%7D)
Where h and k have different signs
i.e.
![\mathbf{h = -k}](https://tex.z-dn.net/?f=%5Cmathbf%7Bh%20%3D%20-k%7D)
This means that:
![\mathbf{y = 8 - x}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%208%20-%20x%7D)
![\mathbf{k = 8 -k}](https://tex.z-dn.net/?f=%5Cmathbf%7Bk%20%3D%208%20-k%7D)
![\mathbf{k +k= 8}](https://tex.z-dn.net/?f=%5Cmathbf%7Bk%20%2Bk%3D%208%7D)
![\mathbf{2k= 8}](https://tex.z-dn.net/?f=%5Cmathbf%7B2k%3D%208%7D)
Divide both sides by 2
![\mathbf{k= 4}](https://tex.z-dn.net/?f=%5Cmathbf%7Bk%3D%204%7D)
Recall that:
![\mathbf{h = -k}](https://tex.z-dn.net/?f=%5Cmathbf%7Bh%20%3D%20-k%7D)
This means:
Recall that:
![\mathbf{|h| = |k| = r}](https://tex.z-dn.net/?f=%5Cmathbf%7B%7Ch%7C%20%3D%20%7Ck%7C%20%3D%20r%7D)
This means that:
![\mathbf{r = 4}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%204%7D)
Recall that:
![\mathbf{(x - h)\² + (y - k)\² = r\²}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%20-%20h%29%5C%C2%B2%20%2B%20%28y%20-%20k%29%5C%C2%B2%20%3D%20r%5C%C2%B2%7D)
Substitute values for h, k and r
![\mathbf{(x + 4)\² + (y - 4)\² = 4\²}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%20%2B%204%29%5C%C2%B2%20%2B%20%28y%20-%204%29%5C%C2%B2%20%3D%204%5C%C2%B2%7D)
Hence, the equation of the circle is:
![\mathbf{(x + 4)\² + (y - 4)\² = 4\²}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%20%2B%204%29%5C%C2%B2%20%2B%20%28y%20-%204%29%5C%C2%B2%20%3D%204%5C%C2%B2%7D)
See attachment for the graph of the circle
Read more about equations of circle at:
brainly.com/question/13392797