Answer:
For a circle.
Step-by-step explanation:
A=πr^2
Answer:
in 6 days it grew 3 gramms?
Step-by-step explanation:
the plot is (6,3)
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle.
Opposite angles of a Quadrilateral are Supplementary.
![\therefore \: \angle A + \angle C = 180° \\ \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\ \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x = \frac{176}{4} \\ \therefore \: x = 44 \\ \\ m\angle A = (2x + 3) \degree \\ = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle A =91 \degree}} \\ \\ m\angle C = (2x + 1) \degree \\ = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle C=89\degree}} \\ \\ m\angle D= (x - 10) \degree \\ = (44 - 10) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle D =34\degree}} \\ \\ similarly \\ \\ \huge \red{ \boxed{ \therefore \: m\angle B = 146\degree}} \\ \\](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20%5Cangle%20A%20%2B%20%5Cangle%20C%20%3D%20180%C2%B0%20%5C%5C%20%20%5Ctherefore%20%5C%3A%282x%20%2B%203%29%20%5Cdegree%2B%20%282x%20%2B%201%29%20%5Cdegree%20%3D%20180%C2%B0%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%284x%20%2B%204%29%20%5Cdegree%20%3D%20180%C2%B0%20%5C%5C%20%5Ctherefore%20%5C%3A%20%284x%20%2B%204%29%20%3D%20180%20%5C%5C%20%5Ctherefore%20%5C%3A%204x%20%3D%20180%20-%204%20%5C%5C%20%5Ctherefore%20%5C%3A%204x%20%3D%20176%20%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%3D%20%20%5Cfrac%7B176%7D%7B4%7D%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%3D%20%2044%20%5C%5C%20%20%5C%5C%20%20m%5Cangle%20A%20%20%3D%20%282x%20%2B%203%29%20%5Cdegree%20%5C%5C%20%20%3D%20%282%20%5Ctimes%2044%20%2B%203%29%20%5Cdegree%20%5C%5C%20%3D%20%2888%20%2B%203%29%20%5Cdegree%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20A%20%20%3D91%20%5Cdegree%7D%7D%20%5C%5C%20%20%5C%5C%20m%5Cangle%20%20C%20%3D%20%282x%20%2B%201%29%20%5Cdegree%20%5C%5C%20%20%3D%20%282%20%5Ctimes%2044%20%2B%201%29%20%5Cdegree%20%5C%5C%20%3D%20%2888%20%2B%201%29%20%5Cdegree%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20%20%20C%3D89%5Cdegree%7D%7D%20%20%5C%5C%20%20%5C%5C%20m%5Cangle%20%20D%3D%20%28x%20-%2010%29%20%5Cdegree%20%5C%5C%20%20%3D%20%2844%20-%2010%29%20%5Cdegree%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20%20D%20%3D34%5Cdegree%7D%7D%20%20%5C%5C%20%20%5C%5C%20similarly%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20m%5Cangle%20%20B%20%20%3D%20146%5Cdegree%7D%7D%20%20%20%5C%5C%20%20%5C%5C%20)
Answer:
![6-3\sqrt{3}](https://tex.z-dn.net/?f=6-3%5Csqrt%7B3%7D)
If you compare this to
, then
and
.
Step-by-step explanation:
We are given
and we are asked to find the value of
.
So we will need to find
.
![x=\sqrt{3}-1](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B3%7D-1)
Square both sides:
![x^2=(\sqrt{3}-1)^2](https://tex.z-dn.net/?f=x%5E2%3D%28%5Csqrt%7B3%7D-1%29%5E2)
Expand using identity:
.
![x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2](https://tex.z-dn.net/?f=x%5E2%3D%28%5Csqrt%7B3%7D%29%5E2-2%28%5Csqrt%7B3%7D%29%281%29%2B1%5E2)
![x^2=3-2\sqrt{3}+1](https://tex.z-dn.net/?f=x%5E2%3D3-2%5Csqrt%7B3%7D%2B1)
![x^2=4-2\sqrt{3}](https://tex.z-dn.net/?f=x%5E2%3D4-2%5Csqrt%7B3%7D)
Let's go back to the full
.
![x^2-x+1](https://tex.z-dn.net/?f=x%5E2-x%2B1)
![(4-2\sqrt{3})-(\sqrt{3}-1)+1](https://tex.z-dn.net/?f=%284-2%5Csqrt%7B3%7D%29-%28%5Csqrt%7B3%7D-1%29%2B1)
![4-2\sqrt{3}-\sqrt{3}+1+1](https://tex.z-dn.net/?f=4-2%5Csqrt%7B3%7D-%5Csqrt%7B3%7D%2B1%2B1)
![6-3\sqrt{3}](https://tex.z-dn.net/?f=6-3%5Csqrt%7B3%7D)
If you compare this to
, then
and
.