Answer:
perimeter of the figure =32 units
area of the figure=56 units²
Answer:
A ≈ 2 ft²
Step-by-step explanation:
The area (A) of a triangle using Heron's formula is
A = ![\sqrt{s(s-a)(s-b)(s-c)}](https://tex.z-dn.net/?f=%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D)
where s is the semiperimeter and a, b , c the sides of the triangle.
s =
=
=
= 4.5
Then
A = ![\sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}](https://tex.z-dn.net/?f=%5Csqrt%7B4.5%284.5-4%29%284.5-4%29%284.5-1%29%7D)
= ![\sqrt{4.5(0.5)(0.5)(3.5)}](https://tex.z-dn.net/?f=%5Csqrt%7B4.5%280.5%29%280.5%29%283.5%29%7D)
= ![\sqrt{3.9375}](https://tex.z-dn.net/?f=%5Csqrt%7B3.9375%7D)
≈ 1.9843...
= 2 ft² ( to the nearest square foot )
First , in order to find the answer you need to add the add the numerators which are 5 and 2 = 7 and then you need to find a common denominator.
The equation for the table is y = 2.5 x
Step-by-step explanation:
The table is:
- x → 2 : 5.6 : 7 : 8
- y → 5 : 14 : 17.5 : 20
Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates
∵ ![\frac{14-5}{5.6-2}=\frac{9}{3.6}=2.5](https://tex.z-dn.net/?f=%5Cfrac%7B14-5%7D%7B5.6-2%7D%3D%5Cfrac%7B9%7D%7B3.6%7D%3D2.5)
∵ ![\frac{17.5-14}{7-5.6}=\frac{3.5}{1.4}=2.5](https://tex.z-dn.net/?f=%5Cfrac%7B17.5-14%7D%7B7-5.6%7D%3D%5Cfrac%7B3.5%7D%7B1.4%7D%3D2.5)
∵ ![\frac{20-17.5}{8-7}=\frac{2.5}{1}=2.5](https://tex.z-dn.net/?f=%5Cfrac%7B20-17.5%7D%7B8-7%7D%3D%5Cfrac%7B2.5%7D%7B1%7D%3D2.5)
∴ The rate of change between each two points is constant
∴ The table represent a linear equation
The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0
∵ m = 2.5
- Substitute it in the form of the equation
∴ y = 2.5 x + b
- To find b substitute x and y by the coordinates of any point
in the table above
∵ x = 2 and y = 5
∴ 5 = 2.5(2) + b
∴ 5 = 5 + b
- Subtract 5 from both sides
∴ 0 = b
∴ y = 2.5 x
The equation for the table is y = 2.5 x
Learn more:
You can learn more about the linear equations in brainly.com/question/4326955
#LearnwithBrainly