Step-by-step explanation:
Let A(x) be the area function of given rectangle.
Radius of circle = 7x
Therefore, length of rectangle = 14x
Width of rectangle = 7x
![\therefore \: A(x) =l\times w \\ = 14x \times {(7x)} \\ =98x^2 \\ \huge \red{ \boxed{ \therefore \: A(x) =98 {x}^{2} }}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20A%28x%29%20%3Dl%5Ctimes%20w%20%5C%5C%20%20%3D%20%2014x%20%20%20%5Ctimes%20%20%7B%287x%29%7D%20%5C%5C%20%3D98x%5E2%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20A%28x%29%20%3D98%20%7Bx%7D%5E%7B2%7D%20%7D%7D%20%20)
Let P(x) be the Perimeter function of given rectangle.
![P(x) =2(l + w) \\= 2(14x + 7x)\\=2\times 21x\\= 42x\\\huge \red{ \boxed{ \therefore \:P(x)= 42x}}](https://tex.z-dn.net/?f=%20P%28x%29%20%3D2%28l%20%2B%20w%29%20%5C%5C%3D%202%2814x%20%2B%207x%29%5C%5C%3C%2Fp%3E%3Cp%3E%3D2%5Ctimes%2021x%5C%5C%3C%2Fp%3E%3Cp%3E%3D%2042x%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3AP%28x%29%3D%2042x%7D%7D)
Answer:
(D)9 divided by sin 60 degrees
Step-by-step explanation:
From the given figure, using trigonometry
![\frac{BC}{AB}=sin60^{{\circ}}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BAB%7D%3Dsin60%5E%7B%7B%5Ccirc%7D%7D)
Substituting the given values, we get
![\frac{9}{AB}=sin60^{{\circ}}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7BAB%7D%3Dsin60%5E%7B%7B%5Ccirc%7D%7D)
![\frac{9}{sin60^{\circ}}=AB](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7Bsin60%5E%7B%5Ccirc%7D%7D%3DAB)
![AB=\frac{9{\times}2}{\sqrt{3}}](https://tex.z-dn.net/?f=AB%3D%5Cfrac%7B9%7B%5Ctimes%7D2%7D%7B%5Csqrt%7B3%7D%7D)
![AB=\frac{18}{\sqrt{3}}](https://tex.z-dn.net/?f=AB%3D%5Cfrac%7B18%7D%7B%5Csqrt%7B3%7D%7D)
![AB=10.4 feet](https://tex.z-dn.net/?f=AB%3D10.4%20feet)
Thus, The length of the support AB is 9 divided by sin 60 degrees.
<u>Answer:</u>
Interpretation: A cube with sides of 4 units each has a volume of 64 units³.
<u>Explanation:</u>
As v(s) represents the volume of the cube, s represents the length of the sides.
∴ v(4) represents the volume of a cube with sides of units, and the volume is 64 units³
Answer: 12 hours
Step-by-step explanation: For this problem we will write a percent equation to solve for 100% and how many total hours it will take angel to finish the entire project.
Lets write a equation to solve for w, total amount of hours.
9/w = 75/100
9/w x w = 75/100 x w
9 = 75w/100
9 x 100/75 = 75w/100 x 100/75
w = 12
So, it will take Angel 12 hours to finish his entire project.
Your answer would be 4:$7.20 because 2027-2002 is 25 years and 0.24(25)+1.20 is $7.20