Gain Your Knowledge

 Answer: Breath of the wall: 125m Area of the ground:10000m² Explanation: Breadth is a mathematical term describing the distance between a shape's right and left sides. You might think that the definition of breadth sounds similar to the definition of width. The terms breadth and width are interchangeable! We briefly discussed the area earlier in the lesson, so let's pick up where we left off. The area of a shape tells us how much space there is inside it. The area of a rectangle will be the focus of this lesson. To calculate the area of a rectangle, multiply its breadth or width by two of its dimensions, such as its height or length. Let us calculate the area of this blue rectangle.      perimeter = 2(l+b)      410m = 2(80+b)                    =160+2b           2b = 410-160               = 250           b =250/2           b=125 therefore a breath of the wall 125m. Area of the wall = lb                                   =80*125                                   =10000m ²

Answer: Equation was factorized  3m²n²(9mn-18n+75m) Explanation: Take a look at the  quadratic equation            ax2 + bx + c = 0. Now, find two numbers whose  product equals ac  and whose sum  equals b .           (number 1)(number 2) = ac + (number 2) = b Simply split the middle term by these two numbers:            ax2 + (number 1)x + (number 2)           x + c = 0    Out the common factors and simplify the given equation:          = 27m³n³-18m²n³ + 75m³n²​ Take out the  3m²n²          = 3m²n²(9mn-18n+75m) Therefore factorized equation is  3m²n²(9mn-18n+75m)

Answer: The app's estimated time is  38.4 minutes Explanation: According to the question, it took 48 minutes to drive downtown because the app estimated it would take less time, and the error was 20%. So the app's estimate is 48*(1-20%)  =48*80%  =48*0.8(digital multiplication)  = 38.4 minutes. Therefore, the app's estimate is  38.4 minutes

   Answer: The total number of moles of  solute present per liter  of solution is defined as the  molarity of the solution.   The total moles of a  solute present per kilogram  of solvent is defined as  molality . Explanation: Molarity is measured in  mol L-1 .  It is determined by the  volume of the solution . Molality is measured in  mol Kg-1 .  It is determined by the  solvent's mass. Molarity expressed mathematically M  is the number of  moles  of the solute divided by the volume of solution in liters.                                       M=n/v Molality expressed mathematically m  = Numbers of moles of  solute/Mass of solvent in Kg  is the mathematical expression.                                             m=(g*1000)/(W*m) The following is the relationship between molarity (M) and molality (m): m=(1000*m)/1000*(d-M)M! M=molarity m=molality M!= molar mass of the solute The provided formula converted the molality value of a solution into the molarity value.