Answer:
Add - 5/7 to each side
x = 26/7
Step-by-step explanation:
x + 5/7 = 31/7
We want to add -5/7 to each side of the equation to isolate x
x+5/7 + -5/7 = 31/7 + -5/7
x = 26/7
Answer:
The first one is 5m - 4y.
The second one is 3x - 4y.
Step-by-step explanation:
We are given with a rectangle whose length is 27 miles , and breadth is (3y + 1) miles and we are asked to find it's area . As , we know that , the area of a rectangle with Length and Breadth , <em><u>L</u></em> and <em><u>B</u></em> is given by <em><u>Area = L × B</u></em> respectively . Now , using this same formula in our question we have ;
![{:\implies \quad \sf Area=27\times (3y+1)}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Csf%20Area%3D27%5Ctimes%20%283y%2B1%29%7D)
![{:\implies \quad \bf \therefore \quad \underline{\underline{Area=81y+27\:\: sq\:\: mi.}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Cbf%20%5Ctherefore%20%5Cquad%20%5Cunderline%7B%5Cunderline%7BArea%3D81y%2B27%5C%3A%5C%3A%20sq%5C%3A%5C%3A%20mi.%7D%7D%7D)
Area of circle = pi r^2 = 78.54
r^2 = 78.54 / pi = 25
r = 5 inches
Each line from centre of the circle to a point on the hexagon = 5 ins
so consider one of the 6 congruent triangles formed from these lines:-
Vertex angle = 60 degrees
sin 30 = 0.5s / 5 (where s = one side of the hexagon).
0.5s = 5*0.5 = 2.5
s = 2.5 / 0.5 = 5
So the perimeter of the hexagon is 6*5 = 30 inches